Answer:
y = 32
Step-by-step explanation:
With this problem, we will use the direct variation form, y = kx.
k = proportionality constant.
Substitute the known inputs of x = 8 and y = 16 into the direct variation form:
y = kx turns into 16 = k(8)
Get k by itself by dividing 8 on both sides:
16/8 = k
2 = k
Now that we know the k value is 2, we input everything we know into the direct variation form if x were equal to 16
k = 2
x = 16
y = kx:
y = 2(16), making y equal to 32
James is solving a number puzzple that involves three integers, a,b, and c, where, c is a positive integer.The product of a and b is 6.The product of a and c is -4.The product of b and cis -6.
Answer:
a = -2
b = -3
c = 2
Step-by-step explanation:
a*b = 6 {The product of a and b is 6]
a*c = -4 [The product of a and c is -4]
b*c = -6 [The product of b and c is -6]
- Rearrange:
1) a*c = -4 to a = (-4/c)
2) b*c = -6 to b = (-6/c)
Now substitute:
a*b = 6
(-4/c)*(-6/c) = 6
(24/c^2) = 6
c^2 = (24/6)
c^2 = 4
c = 2
use this value of c to find a and b:
a = (-4/c)
a = (-4/2)
a = -2
b = (-6/c)
b = (-6/2)
b = -3
Help me Im having trouble anyone help me
Answer:
y=x+4
Step-by-step explanation:
The slope of the line is [tex]\frac{3-4}{-1-0}=1[/tex].
Since the y-intercept is 4, the equation is y=x+4.
The peak of a mountain is 197.35 feet above sea level. The bottom of a lake is 131.38 feet below the sea level. What is the difference in elevations between the top of the mountain and the bottom of the mountain lake?
Answer: 65.97
Step-by-step explanation:
factor out the coefficient of 1.1x + 9.9
Answer:
1.1(x + 9)
Step-by-step explanation:
1.1x + 9.9 ← factor out 1.1 from each term
= 1.1(x + 9)
"I NEED HELP PLS" The following figure is made of 1 triangle and 2 rectangles.
Find the area of each part of the figure and the whole figure.
Figure Area (square units)
Rectangle A
Triangle B
Rectangle C
Whole figure
Answer:
Step-by-step explanation:
1.5x+ 4.5y=18 solve for x
Answer: x=12-3y
Step-by-step explanation:
A family arrives at walt disney world parking lot. to get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a tram for 1/3 their total distance and take a monorail for 1/2of their total distance how far is it from their car to the gate to magic kingdom
The distance from the car to the gate to magic kingdom is 1 1/12 miles.
How to calculate the distance?From the information given, it was stated that get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a tram for 1/3 their total distance and take a monorail for 1/2.
Therefore, the distance from the car to the gate to magic kingdom based on the information will be the addition of the fractions given. This will be:
= 1/3 + 1/2 + 1/4
= 4/12 + 6/12 + 3/12
= 13/12
= 1 1/12
The distance is 1 1/12 miles.
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Several years ago, Melissa bought some gold at a price of $1,430 per ounce. When she
went to sell it, the gold was worth 30% more than it was when she purchased it. What
was the new value of the gold?
The new value of gold was $1859 per ounce.
How to calculate profit amount?
Finding profit is simple using this formula: Total Revenue - Total Expenses = Profit.
Price in which Melissa bought gold per ounce = $1,430
Given that, Melissa sell it when the gold price is 30% more than when she purchased it.
Price in which Melissa sell gold per ounce = $ 1,430 + 1,430×30%
= $ 1,430 + 1,430×[tex]\frac{30}{100}[/tex]
= $ 1,430 + 429
= $ 1,859
Hence, the new value of gold was $1859 per ounce.
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For each pair of images, describe which of these transformations are translation, reflection, or rotation.
Answer:
A is translation because it's being moved to the right to get a'b'
b is reflection because you would reflect over the x-axis \
C is rotation
Picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The lines are shown in the picture.
As we know from the definition of the geometric transformation, geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
From the picture,
Picture A, which is being moved to the right to obtain A'B', serves as a representation of the translation.
Because you would reflect over the x-axis, Picture A represents reflection.
Image A illustrates rotation.
Thus, picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.
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0.4% as a decimal
ITS DUE AT MIDNIGHT
Answer: 0.004
Step-by-step explanation:
Please answer the question in the photo
The value of z in this convex polygon is equal to 66°
What is a polygon?A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides.
Note: The number of sides (n) of a pentagon is 5.
In Geometry, the sum of all the interior angles of a polygon with "n" sides is given by this formula:
Interior angle = 180 × (n - 2)
Interior angle = 180 × (5 - 2)
Interior angle = 180 × 3
Interior angle = 540°.
Now, we can determine the value of z as follows:
(180° - 2z) + (180° - z) + 130° + 108° + 140° = 540°
3z - 378° = 540° - 360°
3z = 378° - 180°
3z = 198°
z = 198°/3
z = 66°
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Houa took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $1.25 per mile. The total fare was $29.95, not including the tip. Which equation or tape diagram could be used to represent the context if x represents the number of miles in the taxi ride?
The equation or tape diagram could be used to represent the context if x represents the number of miles in the taxi ride is A. 29.95 - 1.2 / 1.25 = x
How to illustrate the information?From the information, Houa took a taxi from her house to the airport and the taxi company charged a pick-up fee of $1.20 plus $1.25 per mile. The total fare was $29.95,
Let the number of miles be represented by x.
Therefore, the information will be illustrated by:
1.20 + 1.25(x) = 29.95
1.20 + 1.25x = 29.25
Make x the subject
1.25x = 29.25 - 1.20
x = 29.25 - 1.20 / 1.25
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Determine the value of k that would complete the equation.
x y
2 -12
3 -8
6 -4
The value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true.
The solution is given below:
72 + k = 54, subtracting 72 from both sides
k = 54 - 72
k = -18
Therefore the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18
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10^-3 x 10^6
give answer in powers (for example, 10^-9 or 10^18)
List square numbers 50 to 80
Please answer this with an explannation. Thank You.
The value of x in the triangle is 46.40° .
How to find the angle of a triangle?The angle of a triangle can be found using sine rule.
Therefore, applying sine rule,
a / sin A = b / sin B = c / sin C
Hence,
5 / sin x = 6.9 / sin 88°
cross multiply
5 sin 88° = 6.9 sin x
5 × 0.99939082701 = 6.9 sin x
4.9969541351 = 6.9 sin x
divide both sides by 6.9
sin x = 4.9969541351 / 6.9
sin x = 0.72419625146
x = sin⁻¹ 0.72419625146
x = 46.4020264383
Therefore,
x = 46.40°
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find elapsed time 7:30am to 3:00 pm
Answer:
7 hours 30 minutes and 0 Seconds
Step-by-step explanation:
60 minutes in 1 hour7:30 - 3:0060 * 10 = 600 SecondsPlus the 30 minutes which converts to 20 secondsChange that into hours and minutesFor the four-digit number: 3040, what
must the value of the be so that
this four-digit number is divisible by
5?
The value which the four digit number is divisible by 5 is 608
What is Divisibility?
By looking at the digits of an integer, a divisibility rule can be used to quickly and conveniently determine if it can be divided by a specific number.
The given four-digit number is divisible by 5:
3040
To find the value from which the four digit number is divisible by 5
3040 ÷ 5
= 3040/5
= 608
Hence, The value of the be so that this four-digit number is divisible by 5 is 608
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Find the total cost of a $40 meal with a 10% tip. Round to the nearest cent when necessary
We know that the cost of the meal is $40 and the tip is the 10%.
And we must find the total cost.
The total cost will be we cost of the meal plus the tip.
Now, we must find the cost of the tip.
Since the tip is the 10% we must multiply the cost of the meal by 10%. (We can represent 10% as 0.1)
[tex]\text{tip}=\text{ \$40}\cdot0.1=\text{ \$4}[/tex]Then, the total cost is
[tex]\begin{gathered} \text{ Total cost=cost of the meal + tip} \\ \text{ Total cost= \$40+ \$4 = \$44} \end{gathered}[/tex]Finally, the total cost of the meal is $44.
Find the probability of pulling a red card out of a standard deck of cards
Answer:
Find the probability of pulling a red card out of a standard deck of cards
Step-by-step explanation:
So, the probability of drawing a red-faced card is 6 out of 52 cards. Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.
A standard deck of playing card consists 52 cards.
Cards is splitted into 4 suit i.e. Hearts, Spades, Diamond and Clubs.
Each suits consists of 13 cards - the Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, King and Queen.
Hearts & Diamond are red cards and Spades and Clubs are black cards.
Probably = Number of favourable/Possible outcomes/ Total outcomes.
Probability of pulling a red card = 26/ 52 = 0.5
Thus, probability of pulling a red card is 0.5.
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geometry is this correct guys?
Answer: bigger angle=64 smaller angle=26
Step-by-step explanation:
1. set up an equation
because the bigger angle is 14 less than 3 times the measurement of the smaller angle we can call the smaller angle x and the bigger angle 3x-14 knowing complementary angles are 90 degrees you can set up the following:x+3x-14=90
3.solve the equation
x+3x-14=90
4x-14=90 | combine like terms
4x=104 | add 14 on both sides
x=26 | divide by 4 on both sides
4. plug x in to your angle measures
1(26)=26
3(26)-14
78-14
64
1. AGES Mel is 3 years older than Rahfat
and Aurelio is twice as old as Mel. The
sum of their ages is 57. How old
is Mel?
Answer:
15
Step-by-step explanation:
Mel's Age = x
Rahfat's Age = x-3
Aurelio's Age = 2x
2x + x +x -3 = 57
4x -3 = 57
4x = 60
x = 15
Can someone help please??
Six student government officers want to go to the state convention. It will cost them $100 for registration, $380 for transportation and food, and $54 per person for the hotel. There is $500 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?
Answer:
61
Step-by-step explanation:
100+380+6(54)=804
804-500=304
304/5=60.8
Round answer to 61 because 60 is too little and will not meet the budget
Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.
The linear function modelling the daily inventory in t days after August 31 is given by:
I(t) = 110 - 22t.
Using the given function, they must restock the store on September 3.
What is a linear function in slope-intercept format?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, we have that:
The intercept is of b = 110, as on the reference day, which is of August 31, they have 110 Intelliphones.The slope is of m = -22, as on each day they sell 22 phones, meaning that the amount decays by 22.Thus the model is given as follows:
I(t) = 110 - 22t.
They must have at least 25 phones in stock at all times, hence:
I(t) >= 25
110 - 22t >= 25
22t <= 85
t <= 85/22
t <= 3.86.
Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.
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Write 4.1012 in words. A four and ten twelve ten thousandths B four and one thousand twelve ten thousandths C four and one thousandths twelve ten thousandths D four point one zero one two
Writing 4.1012 in words will be represented as D. four point one zero one two.
How to illustrate the information?It should be noted that writing in words simply means spelling or calling out of the numbers that are given.
Based on the information, it should be noted that (.) is illustrated as a point when calling out the decimal numbers. Other values include:
4 = four
1 = one
0 = zero
2 = two
Therefore, based on the illustration, the correct option is D.
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Answer:
B
Step-by-step explanation:
he's wrong
I need help on this asap due Tuesday pls help
a) To calculate the overall mean, you must take the total wages divided by the total number of workers. What Stacy is doing is calculating the average of the means, which is incorrect as both the total wages and the quantity of workers are both different (or she's just using the wrong method of calculation)
b) First, we find the total wages of the 56 workers : 42 x 9.5 + 14 x 13.5 = 588 (pounds)
So, the overall mean is : 588 : 56 = 10.5 (pounds/h)
Answer:
£ 10.50
Step-by-step explanation:
Mean:a) Stacy is wrong because she found the mean of the £9.50 and £13.50. She has to find the mean of wage of 42 packers and wage of 14 truck drivers.
[tex]\sf b) Overall \ mean \ wage = \dfrac{sum \ of \ wages \ of \ 42 \ packers+ Sum \ of \ wages \ of \ 14 \ truckers}{number \ of \ packers + numbers \ of \ truck \ drivers}[/tex]
Sum of wages of 42 packers = 42 * 9.50
= £ 399
Sum of wages of 14 truck drivers = 14 * 13.50
= £ 189
[tex]\sf Overall \ mean \ wage = \dfrac{399+189}{42+14}\\\\[/tex]
[tex]\sf = \dfrac{588}{56}\\\\[/tex]
= £ 10.50
The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need two points. Choose two points on the line.
The slope of the line shown in this graph is equal to 3/5 or 0.6
What is a pitch?A pitch is also referred to as slope and it can be defined as the ratio of the vertical distance (rise) measured to the horizontal distance (run) measured.
How to determine the pitch (slope) of a roof?Mathematically, the pitch (slope) of a geometric figure or line can be calculated by using this formula:
Pitch (slope) = V/H
Where:
V represents the rising vertical distance of an object.H represents the horizontal distance an object runs through.Based on the given graph, we would select the following points:
Rise = 6, 0
Run = 10, 0
Substituting the selected points into the formula, we have;
Pitch (slope) = (6 - 0)/(10 - 0)
Pitch (slope) = 6/10
Pitch (slope) = 3/5 or 0.6
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Complete Question:
The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.
To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Answer: Part A
Answers will vary. The sample answers throughout this Lesson Activity assume the points chosen are (0, 0) and (5, 3).
Part B (Answer)
Between the points (0, 0) and (5, 3), there is a rise of 3 units and a run of 5 units.
Part C ( Answer)
Between the points (0, 0) and (5, 3), the rise is 3 and the run is 5. The slope is the ratio of rise to run. Therefore, the slope of the line is 3/5.
Step-by-step explanation:
Questions
Part A - To calculate slope, you need two points. Choose two points on the line.
Part B - To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.
Part C
Using the rise and run from part B, what is the slope of the line?
Which of the following is a polynomial?
(a) 2−6√+2 (b) 52−3+1
(c)√+1√ (d) None of these
The true statement about the expressions is (d) None of these
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the polynomial expression?From the list of options, the given parameters are
(a) 2 − √6 + 2 (b) 52 − 3 + 1 (c)√1
For an expression to be a polynomial, the expression must have variables, coefficients and operators
None of the given expressions have variables, coefficients and operators.
This means that the expressions are not polynomial
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A. All real numbers are in the range of this function.
B. The domain for this function is all real numbers.
C. The domain for this function is the set (-5).
D. This graph is not a function because the value of y is the same for
every value of x.
E. The range for this function is the set {-5).
Answer:
Step-by-step explanation:
whoops, does anyone know how to delete an answer?