Dolls were sold for ₱42,356 gross, with returns amounting to ₱3,479. The cost of the dolls sold is ₱27,212. What is the gross profit?

Answers

Answer 1

Answer:

To find the gross profit, we need to subtract the cost of the dolls sold from the gross sales revenue (after returns have been deducted).

First, we need to calculate the net sales revenue, which is the gross sales revenue minus the returns:

Net sales revenue = Gross sales revenue - Returns

Net sales revenue = ₱42,356 - ₱3,479

Net sales revenue = ₱38,877

Next, we can calculate the gross profit:

Gross profit = Net sales revenue - Cost of goods sold

Gross profit = ₱38,877 - ₱27,212

Gross profit = ₱11,665

Therefore, the gross profit from the sale of the dolls is ₱11,665.

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Related Questions

Find the sum of the interior angles of the following polygon:
115⁰
4
130⁰
115
95⁰
Sum of interior angles =
Part 2:
Find the measure of x:
degrees.
degrees.

Answers

The Sum of interior angles of the given polygon is: 540°

The value of the angle x is: 85°

What is the interior angle of the polygon?

The interior angle-sum formula for an irregular polygon is the same as the sum of interior angle in a regular polygon.

Sum of interior angles in a n-sided polygon is:

Sum = (n - 2)180

where:

n is the number of sides of the irregular polygon.

This is a 5-sided irregular polygon

Thus:

Sum = (5 - 2)180

Sum = 540°

Thus:

x + 115 + 115 + 130 + 95 = 540

x + 455 = 540

x = 540 - 455

x = 85°

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The volume of blood in a person's body is proportional to body weight. A person who weighs 200 pounds has approximately 6 quarts of blood. Estimate the number of quarts of blood

in a person who weighs 90 pounds.

Complete the proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.

X

(Doshot simplify.)

X

More

Answers

The estimated number of quarts of blood the individual with the given weight will have would be = 2.7 quarts.

How to calculate the number of quarts of blood the individual has?

The body weight of the first individual = 200 pounds

The volume of blood = 6 quarts.

Therefore a person of 90 pounds = X quarts.

That is;

200 pounds = 6 quarts

90 pounds = X quarts

make X quarts the subject of formula;

X = 90×6/200

= 540/200

= 2.7 quarts

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Find the sales tax. Then find the total cost of the item.
$50.00
Sales Tax
Rate of Sales Tax Sales Tax
7%
?

Answers

As a result, the item's final price is $53.50 and the sales tax is $3.50.

What is sales tax?

The government levies a consumption tax known as sales tax on the purchase of goods and services. The seller often calculates it as a percentage of the purchase price and collects it. After then, the vendor transfers it to the government .. The funding of government services and programmers comes from sales tax

We can multiply the item's price by the applicable sales tax rate to determine the sales tax:

Price of Item  x   Sales Tax Rate equals Sales Tax

Sales Tax: $50.00 x 7% = $3.50

We can multiply the item's price by the applicable sales tax to determine the entire cost of the purchase, including tax:

Price of Item + Sales Tax = Total Cost

$50.00 plus $3.50 equals $53.50 as a total

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Tell whether the given side lengths can represent the sides of a right triangle
10, 12, 20
Determine if the segment lengths form an acute, right, or obtuse triangle,
10, 11, 14
26.


Need help with all of these please need this asap. Please show work

Answers

23. By the diagram, the triangle is a [tex]45^\circ - 45^\circ-90^\circ[/tex] triangle. Therefore, the triangle is isosceles, so [tex]x=6.[/tex] And by the Pythagorean theorem, [tex]y^2=x^2+6^2=6^2+6^2=72,[/tex] and taking the square root yields [tex]y = 6\sqrt{2}.[/tex]

24. Notice that by the diagram, the triangle is a [tex]30^\circ-60^\circ-90^\circ[/tex] triangle. It is well known that in these special types of triangles, if [tex]a[/tex] is the side length opposite the [tex]30^\circ[/tex] angle, then the side length opposite the [tex]90^\circ[/tex] angle is [tex]2a,[/tex]  and finally the side length opposite the [tex]60^\circ[/tex]  is [tex]a\sqrt{3}.[/tex] This is shown in the image I've attached below, and can also be easily proven by the fact that two of these triangles combine to form an equilateral triangle.

So using this fact, we know that [tex]x = \frac{8}{2} = 4,[/tex] and [tex]y = x\sqrt{3} = 4\sqrt{3}.[/tex]

25. Tell whether the given side lengths can represent the sides of a right triangle: 10, 12, 20

For this question, we simply use the converse of the Pythagorean theorem. One part of its statement says that if a triangle has sides of length [tex]a, b, c[/tex] such that [tex]a^2 + b^2 = c^2[/tex], and [tex]c[/tex] is the longest side, then the angle opposite the side of length [tex]c[/tex] is a right angle.

Thus, if the triple [tex](a, b, c)[/tex] does not satisfy the equation, the triangle it forms is not a right triangle. In our case, the corresponding values for [tex](a, b, c)[/tex] are [tex](10, 12, 20),[/tex] because [tex]20[/tex] is the largest number in this triple. But [tex]10^2+12^2=244\neq 400 = 20^2,[/tex] so the triangle with side lengths [tex]10, 12, 20[/tex] is not a right triangle.

26. Another statement of the converse of the Pythagorean theorem is that if a triangle has side lengths [tex]a, b, c[/tex] such that [tex]c^2 > a^2+b^2[/tex] , with [tex]c[/tex] being the longest side, then the triangle is an obtuse triangle. So the corresponding values for [tex]a, b, c[/tex] are [tex]10, 11, 14,[/tex] and because [tex]14^2 = 196 < 221 = 10^2+11^2,[/tex] the triangle is an obtuse triangle.

Of the following Z-score values, which one represents the location closest to the mean?
A. Z=+0.5
B. Z=+1,0
C. Z=-1.5
D. Z=-0.3

Answers

Z=+0.5, which has an absolute value of 0.5 and is the closest Z-score to the mean so option A is correct.

What is?

In mathematics, the absolute value (also known as modulus) of a real number is its distance from zero on the number line. It is denoted by enclosing the number between two vertical bars, such as |x|.

For example, the absolute value of 5 is 5, because 5 units to the right of zero on the number line is at a distance of 5 units from zero. Similarly, the absolute value of -5 is also 5, because 5 units to the left of zero on the number line is at a distance of 5 units from zero.

According to the given information

To determine which Z-score represents the location closest to the mean, we need to know the sign of each Z-score, as well as the absolute value of each Z-score.

The sign of the Z-score indicates whether the location is above (+) or below (-) the mean. The absolute value of the Z-score indicates how far away the location is from the mean, measured in standard deviations.

Looking at the options provided, we see that:

A. Z=+0.5 is positive, indicating a location above the mean, and has an absolute value of 0.5.

B. Z=+1.0 is positive, indicating a location above the mean, and has an absolute value of 1.0.

C. Z=-1.5 is negative, indicating a location below the mean, and has an absolute value of 1.5.

D. Z=-0.3 is negative, indicating a location below the mean, and has an absolute value of 0.3.

Since we want to find the Z-score closest to the mean, we should look for the option with the smallest absolute value. Therefore, the answer is A. Z=+0.5, which has an absolute value of 0.5 and is the closest Z-score to the mean.

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Richard is saving money for a down payment on a car. He opens a savings account at his local bank and deposits $500. He models his savings plan with the equation y = 200x + 500 based on his current monthly savings rate. What does the y-intercept of linear model represent?

Question 8 options:

The date the savings account was started.


The starting amount in his savings account.


The date when he will have enough money.


The largest amount that he can save.

Answers

In a case whereby Richard is saving money for a down payment on a car He models his savings plan with the equation y = 200x + 500 based on his current monthly savings rate  y-intercept of linear model represent B. The starting amount in his savings account.

How can the linear model be interpreted?

It should be noted that in a  linear equation the y intercept  can be seen as one that is starting point  whereby x is zero, which implkies that starting balance he had is 1000 in the bank.

Therefore, from the  equation y = 200x + 500, the  y-intercept of linear model serves as the starting amount in his savings account.

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Which parent functions have a domain of all real values of x? Select all that apply.
A. Absolute value
B. Linear
C. Reciprocal
D. Quadratic
E. Cube root
F. Cubic

Answers

Answer:

D. Quadratic

Step-by-step explanation:

The vertex of the parent function y = x2 lies on the origin. It also has a domain of all real numbers and a range of [0, ∞). Observe that this function increases when x is positive and decreases while x is negative

Find the measure of each indicated side. Round your answer to the nearest tenth.

Answers

Answer:

m∠R = 78.9°

------------------------------

We are given three sides and need to find one of angles.

Use the law of cosines:

  [tex]cos(A) = \cfrac{ b^2 + c^2 - a^2}{2bc}[/tex]

Here we are given:

R - angle A, a = 59.7, b = 52, c = 41

Substitute above values into the given equation:

   [tex]cos(R) = \cfrac{ 52^2 + 41^2 - 59.7^2}{2*52*41} =0.1925[/tex]

Find m∠R:

m∠R = arccos (0.1925), use calculatorm∠R = 78.9° (rounded to the nearest tenth)

Rajindri, a physician assistant who works in an emergency room, earns $163 for every two hours that she works.

Which equation represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours?

A. d= 163 + t

B. d= 163/2 × t/2

C. d= 163t

D. d= 81.50t

Answers

Answer:

b but I'm not exactly sureb

It is possible to select 3 restraunts in how many different ways?

Answers

There are 1140 different possible ways to select 3 restaurants out of 20 for the promotional program.

In mathematics, what are a permutation and combination?

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.The combination formula, which is: can be used to resolve this issue.

n C r = r! * (n-r)!

where r is the number of restaurants to be chosen, and n is the total number of restaurants (20 in this case). (3 in this case).

By replacing these values, we obtain:

20 C 3 = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140

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A scatter plot is shown on the coordinate plane. scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4 Which of the following graphs shows a line on the scatter plot that fits the data? scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4, with a line passing through the coordinates 2 comma 5, 8 comma 2, and 10 comma 1 scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4, with a line passing through the coordinates 4 comma 7, and 10 comma 4 scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4, with a line passing through the coordinates 1 comma 8, and 10 comma 1 scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4, with a line passing through the coordinates 4 comma 5.33, and 6 comma 4.33 Question 11(Multiple Choice Worth 5 points) (Scatter Plots MC) A large retailer calculated the average hourly wage of employees over 6 years. The following table shows the years since 2016 and the average hourly wage of an employee at that time. Years (since 2016) 0 1 2 3 4 5 6 Hourly Wage (in dollars) 10 10.5 11 11.5 12 13 14 Which of the following representations is most appropriate for showing the change in the average hourly wage each year? scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 10, 1 comma 10 and a half, 2 comma 11, 3 comma 11 and a half, 4 comma 12, 5 comma 13, 6 comma 14 scatter plot with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 10 comma 0, 10 and a half comma 1, 11 comma 2, 11 and a half comma 3, 12 comma 4, 13 comma 5, and 14 comma 6 line graph with the title average

Answers

The graph that shows a line on the scatter plot that fits the data is: scatter plot with points at 1 comma 8, 2 comma 5, 4 comma 7, 5 comma 2, 7 comma 6, 8 comma 2, 10 comma 1, and 10 comma 4, with a line passing through the coordinates 2 comma 5, 8 comma 2, and 10 comma 1.

For the second question, the most appropriate representation for showing the change in the average hourly wage each year is: scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 10, 1 comma 10 and a half, 2 comma 11, 3 comma 11 and a half, 4 comma 12, 5 comma 13, 6 comma 14

HELP PLEASE
Solve by graphing g(x)=lx-4l+3

Answers

Please refer to the attachment

In the given diagram find the value of x
a) 1
b) 2
c) 3
d) 4

Answers

Given

ABCΔ  is a triangle.

D is a point on [BC]

|BD|=4

|AD|=|CD|

m(CBAˆ)=α=30∘

m(ACBˆ)=β=20∘

To Find

What is |AC|=x?

Solution

Geometric approaches gave me nothing. Letting |AD|=|CD|=a, |AB|=b

and applying law of cosines to all three triangles yields;

x=2acos20∘16=a2+b2+2abcos70∘(a+4)2=b2+x2+2bxcos50∘

respectively, from ACDΔ, ABDΔ and ABCΔ. Directly isolating x from these equations gives an expression involves trigonometric function(s), and i cannot find a way to annihilate trigonometric functions in these equations to reach the answer which is x=4

The complete question is -

In the given diagram find the value of x

a) 1

b) 2

c) 3

d) 4

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What is the surface area of this cylinder?
Use 3.14 and round your answer to the
nearest hundredth.
2 ft
5 ft
square feet

Answers

The surface area of this cylinder is 942 millimeter square

How to determine the surface area

The formula for the surface area of a cylinder is expressed as;

SA = 2πr h + 2πr²

Given that the parameters are identified as;

SA is the surface area of the cylinder.r is the radius of the cylinder..h is the height of the cylinder

From the information given, we have that;

Surface area = 2 × 3.14 × 10 × 5  + 2× 3.14 × 10²

Find the square values

Surface area = 2 × 3.14 × 10 × 5  + 2× 3.14 × 100

Multiply the values

Surface area = 314 + 628

Now, add the values

Surface area = 942 mm²

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which average is the most representative of the data​

Answers

The median is the average that is most representative of the data.

How to obtain the median of a data-set?

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

In this problem, we have that smaller values have a higher number of observations, meaning that the data-set is not symmetric.

As the data-set is not symmetric, it means that the median is the average that is most representative of the data.

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$550 is deposited in an account with 8.5%
interest rate, compounded continuously.
What is the balance after 6 years?
F = $[?]

Answers

the balance after 6 years is approximately $926.45.

What is Continuous compounding ?

Continuous compounding is the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.

We can use the formula for continuous compounding to find the balance after 6 years:

[tex]F = Pe^{(rt)}[/tex]

where F is the future value, P is the present value, e is the mathematical constant e (approximately 2.71828), r is the annual interest rate, and t is the time in years.

In this problem, P = $550, r = 8.5% = 0.085 (note that we need to use the decimal form of the interest rate), and t = 6 years.

[tex]F = 550e^{(0.085*6)}[/tex]

F ≈ $926.45

Therefore, the balance after 6 years is approximately $926.45.

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For each SSA case below, i) solve by the law of cosines, (ii) solve by the law of sines; use degrees for angles, and round each answer to its nearest 100th:

Answers

The values of the angles will be 6.67°, 156.78° Be 29.93° and the sides will be 10.01, 34 and 43.

How to explain the angle

SSA stands for side side angle postulate. In this postulate of congruence, we say that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other triangle then the two triangles are equal.

By sine rule,

Y = sin156.78 × 44 / 34

= 29

sin Y = 0.499

Y = 29.93°

By the angle sum property. The last angle will be:

180 - 156.78 - 29.93

= 6.67°

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ASAP Scott and Lana booked a cruise that departs from Seward, Alaska, but their flight flew into Anchorage, Alaska. The couple decided to travel from Anchorage to Seward on the Alaska Railroad's non-stop Coastal Classic route to enjoy the 117 miles of beautiful scenery. If the train had traveled 13 miles in 30 minutes, how long, in hours, was the non-stop train ride from Anchorage to Seward?
A. 4.5 hours
B. 18 hours
C. 3 hours
D. 9 hours

Answers

Answer:

A. 4.5 hours

Step-by-step explanation:

We can use a proportion to solve this problem. Let x be the total time in hours for the train ride from Anchorage to Seward. We know that the train traveled 117 miles in x hours, and it traveled 13 miles in 0.5 hours (30 minutes). Therefore:

117 miles / x hours = 13 miles / 0.5 hours

We can cross-multiply to get:

117 miles * 0.5 hours = 13 miles * x hours

Simplifying:

58.5 = 13x

x = 58.5 / 13

x = 4.5 hours

Therefore, the non-stop train ride from Anchorage to Seward took 4.5 hours. Answer: A.

Hope this helps!

Answer:

A. 4.5 hours

Step-by-step explanation:

We can use a proportion to solve this problem. Let x be the total time in hours for the train ride from Anchorage to Seward. We know that the train traveled 117 miles in x hours, and it traveled 13 miles in 0.5 hours (30 minutes). Therefore:

117 miles / x hours = 13 miles / 0.5 hours

We can cross-multiply to get:

117 miles * 0.5 hours = 13 miles * x hours

Simplifying:

58.5 = 13x

x = 58.5 / 13

x = 4.5 hours

Therefore, the non-stop train ride from Anchorage to Seward took 4.5 hours. Answer: A.

Hope this helps!

The solids are similar.
Find the surface area of
solid B to the nearest
hundredth.
Cylinder A
24 mm
S = 594 mm²
Cylinder B
16 mm
The surface area of solid B is
square millimeters.

Answers

Answer:

264π

Step-by-step explanation:

A person invests 8000 dollars in a bank. The bank pays 4.75% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 20400 dollars?

Answers

To the nearest tenth of a year, the person must leave the money in the bank for 15.5 years.

How long must the person leave the money in the bank until it reaches 20400 dollars?

We can use the formula for compound interest:

A = P[tex](1 + r/n)^{nt}[/tex]

where A is the final amount, P is the principal (initial investment), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.

We know P = 8000, r = 0.0475, and we want A = 20400. We also know that the interest is compounded daily, so n = 365.

Let's solve for t:

20400 = 8000[tex](1 + 0.0475/365)^{(365t)}[/tex]

2.55 = [tex](1.00013)^{(365t)}[/tex]

Taking the natural logarithm of both sides, we get:

after solving

Using a calculator, we find:

t ≈ 15.5

So, to the nearest tenth of a year, the person must leave the money in the bank for 15.5 years.

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Can someone actually help me with this!!!! please do A through D, I attached the picture. BRAINLIEST!!!!!

Answers

To check that the compound inequalities for the number of containers of cheese popcorn and peanut butter popcorn are correct, we can use the following steps:

1. Substitute the smallest possible value for each variable into the inequality and check that the inequality is true.
2. Substitute the largest possible value for each variable into the inequality and check that the inequality is true.
3. Check that the solution set of the inequality contains only whole numbers, since the number of containers must be a whole number.

For example, let's check the compound inequality for the number of containers of cheese popcorn c:

5.65c + 0.4p ≤ 50 and c ≥ 0

1. Substituting c = 0 and p = 125 (the largest possible value) into the inequality, we get:
5.65(0) + 0.4(125) ≤ 50
50 ≤ 50
This is true.

2. Substituting c = 9 (the largest possible value) and p = 0 into the inequality, we get:
5.65(9) + 0.4(0) ≤ 50
50.85 ≤ 50
This is false.

3. The solution set of the inequality is:
0 ≤ c ≤ 8.849...
Since the number of containers must be a whole number, the solution set is:
0 ≤ c ≤ 8

Therefore, the compound inequality for the number of containers of cheese popcorn c is:
0 ≤ c ≤ 8

We can follow the same steps to check the compound inequality for the number of containers of peanut butter popcorn p.

riangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−9, −9), B(9, 9), C(0, 9). Determine the scale factor used.

6
one sixth
3

Answers

Answer is 3

To find the scale factor used to dilate triangle ABC to triangle A'B'C', we need to compare the corresponding side lengths of the two triangles.

The distance formula can be used to find the lengths of the sides of triangle ABC:

AB = sqrt[(3 - (-3))^2 + (3 - (-3))^2] = sqrt[6^2 + 6^2] = 6sqrt(2)
AC = sqrt[(0 - (-3))^2 + (3 - (-3))^2] = sqrt[3^2 + 6^2] = 3sqrt(5)
BC = sqrt[(3 - 0)^2 + (3 - 3)^2] = 3

Similarly, we can use the distance formula to find the lengths of the sides of triangle A'B'C':

A'B' = sqrt[(9 - (-9))^2 + (9 - (-9))^2] = sqrt[18^2 + 18^2] = 18sqrt(2)
A'C' = sqrt[(0 - (-9))^2 + (9 - (-9))^2] = sqrt[9^2 + 18^2] = 9sqrt(5)
B'C' = sqrt[(9 - 0)^2 + (9 - 3)^2] = sqrt[9^2 + 6^2] = 3sqrt(5)

The scale factor is the ratio of the side lengths of the corresponding sides of the two triangles. For example, the scale factor for side AB is:

AB' / AB = (18sqrt(2)) / (6sqrt(2)) = 3

Similarly, we can find the scale factors for sides AC and BC:

A'C' / AC = (9sqrt(5)) / (3sqrt(5)) = 3
B'C' / BC = (3sqrt(5)) / 3 = sqrt(5)

Since the scale factors for all three pairs of corresponding sides are the same, the scale factor used to dilate triangle ABC to triangle A'B'C' is 3.

Therefore, the answer is 3.



​,Kofi, Adoma and Esenam are three siblings, Kofi is x years older than Adoma and Adoma is y years older than Esenam. a. How much older than Esenam is Kofi ? b. If Esenam is 5 years old, how old is (i) Adoma (ii)Kofi​

Answers

a. K = E + (x + y). This implies that Kofi is (x + y) older than Esenam.

b. (i) Adoma = (5 + y) years

   (ii) Kofi = (5 + (x+y)) years

What is a word problem?

Word problem is a topic that requires the transformation of a mathematical statement into an equation, such that the variable is to be determined.

In the given question, we have;

Let the age of Kofi, Adoma, and Esenam be represented by K, A and E respectively. So that;

K = A + x ...... i

A = E + y........ ii

substitute i into ii

K = (E + y) + x

  = E + (x + y)

K = E + (x + y) ........ iii

Thus,

a. From equation iii, we can deduce that Kofi is (x + y) years older than Esenam.

b. The age of Adoma = 5 + y years

ii. The age of Kofi = 5 + (x + y) years

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Will give brainliest if you get correctly!
Guessing = Report

Answers

Answer:

Step-by-step explanation:

if you rotate cars tires at 10,000 miles, if a car tire has 25,200 rotations per day, how many weeks will it be until you rotate the tires

Answers

It will take 4. 09 weeks for the tires to be rotated at the current rate.

How to find the time till rotation ?

When rotating a car's tires every 10,000 miles, each tire must complete this distance before being moved.

25, 200 rotations / day x 7 days / week = 176, 400 rotations per week

To solve this predicament, dividing 10,000 miles by the number of rotations/mile (which equates to the tire's circumference) is necessary. The formula for calculating a tire's circumference can aid in obtaining this number along with the weeks required to perform the rotation process:

C = 2πr

Rotation per mile is:

1 mile / 87.96 inches / rotation = 72.26 rotations / mile

Number of weeks:

10, 000 miles x 72. 26 rotations / mile = 722, 600 rotations

722, 600 rotations / 176, 400 rotations/week = 4.09 weeks

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Diane is a camp counselor she did signs in new obstacle course and tested course with three friends the Doppler shows the time it takes to complete the obstacle course. What is the mean absolute deviation(MAD)of the times.

Answers

Therefore, the mean absolute deviation of the times taken to complete the obstacle course is 0.3125 minutes.

What is mean absolute deviation?

Mean absolute deviation (MAD) is a statistical measure that calculates the average distance between each data point in a dataset and the mean or median of that dataset. It measures the dispersion or variability of the data points in relation to the central tendency of the dataset.

To calculate the MAD, you first find the mean or median of the dataset, and then you calculate the absolute difference between each data point and the mean or median. The absolute differences are then averaged to give the mean absolute deviation.

MAD is expressed in the same units as the original data and is commonly used in finance, economics, and other fields to measure the variability of financial returns, economic indicators, or other datasets. MAD is a robust measure of dispersion that is less sensitive to extreme values or outliers compared to other measures of dispersion such as standard deviation.

Let's say the times taken by the four people are:

Diane: 2 minutes

Friend 1: 1.5 minutes

Friend 2: 2.5 minutes

Friend 3: 1.75 minutes

The mean of these times is:

Mean = (2 + 1.5 + 2.5 + 1.75) / 4 = 1.9375 minutes

Next, we need to find the absolute deviations of each time from the mean. To do this, we subtract the mean from each time and take the absolute value of the result:

|2 - 1.9375| = 0.0625

|1.5 - 1.9375| = 0.4375

|2.5 - 1.9375| = 0.5625

|1.75 - 1.9375| = 0.1875

Then, we find the mean of these absolute deviations:

MAD = (0.0625 + 0.4375 + 0.5625 + 0.1875) / 4 = 0.3125 minutes

Therefore, the mean absolute deviation of the times taken to complete the obstacle course is 0.3125 minutes.

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For what values of x and y are the triangles to the right congruent by​ HL?

Answers

The values  of x and y that make the triangles congruent by HL are:

x = 3 and y = 1

Congruent triangles: Calculating the values of x and y

From the question, we are to determine the values of x and y that make the triangles congruent by HL.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Thus,

For the triangles to be right congruent by HL

x = y + 2

and

x + 1 = 4y

Solve the equations simultaneously

Substitute x = y + 2 in the second equation

x + 1 = 4y

y + 2 + 1 = 4y

y + 3 = 4y

3 = 4y - y

3 = 3y

Divide both sides by 3

3/3 = 3y/3

1 = y

Therefore,

y = 1

Substitute the value of y into the first equation

x = y + 2

x = 1 + 2

x = 3

Hence,

The values are:

x = 3 and y = 1

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Rajindri, a physician assistant who works in an emergency room, earns $163 for every two hours that she works.

Which equation represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours?

A. d= 163 + t

B. d= 163/2 × t/2

C. d = 163t

D. d = 81.50t

Answers

Answer:

The correct equation is C. d = 163t.

This equation shows a direct proportionality between the amount of time worked (t) and the amount of money earned (d). For each hour worked, Rajindri earns $163, so the total amount earned (d) is equal to the hourly rate of $163 multiplied by the number of hours worked (t).

Step-by-step explanation:

Jen works for a cellular phone company. She earns a salary of $250 per
week plus a bonus of 10% of the value of any phones and accessories
that she sells. In the past four weeks, Jen sold $312 worth of phones
and accessories.
Circle the amount that correctly completes the statement.
In the past four weeks, Jen earned a total income of $
1,031.20
562.00
312.00
281.20
31.20

Answers

Okay, here are the steps to solve this problem:

* Jen earns a weekly salary of $250

* She gets a 10% bonus on any sales

* In the past 4 weeks, she sold $312 worth of phones and accessories

* 10% of $312 is $31.20

* So in 4 weeks, her bonus would be $31.20 * 4 = $124.80

* Her weekly salary is $250

* So in 4 weeks, her salary would be $250 * 4 = $1000

* Her total income over 4 weeks is $1000 + $124.80 = $1124.80

* The choices are:

** $1,031.20 ** $562.00 ** $312.00 ** $281.20 ** $31.20

So the correct choice is $1,031.20.

Which of the following is the expanded form of a number? Select all correct answers.
(A) 7·1000+8·100+3· 1/100
(B) 4·100+9·100+3· 1/10 +4· 1/10
(C) 71·10+4·1+6· 1/100 +5· 1/1000
(D) 5·1000+5·100+5·1+5·1/100
(E) 3·1000+8·1000+9·1/1000
(F) 9·1000+3·101+5· 1/10

Answers

The expanded form of a number is a way of writing a number as the sum of its individual digit values, with each digit multiplied by its place value.

(A) 7·1000+8·100+3· 1/100 is the expanded form of a number.
(B) 4·100+9·100+3· 1/10 +4· 1/10 is the expanded form of a number.
(C) 71·10+4·1+6· 1/100 +5· 1/1000 is the expanded form of a number.
(D) 5·1000+5·100+5·1+5·1/100 is the expanded form of a number.
(E) 3·1000+8·1000+9·1/1000 is the expanded form of a number.
(F) 9·1000+3·101+5· 1/10 is not the expanded form of a number as the second term 3·101 is not a valid place value.

Therefore, options A, B, C, D, and E are the correct answers.
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