Jack pays 1.74$ for 6 packs of gum. How much does he pay for one
Answer:
$0.29 and if you want to round it up then it is going to be $0.30
Step-by-step explanation:
You are asking what 1 pack of gum costs. We already know that 6 packs of gum costs $1.74 and we need to find the unit rate which is basically what one pack of gum costs so in order to do that we need to [tex]\frac{1.74}{6}[/tex] which is 0.29 and that is the cost of 1 pack of gum. Hope that helps and also can you please mark me as brainlist. Thank you
A rectangular lot is 80 yards long and 50 yards wide.
Give the length and width of another rectangular lot that has the same perimeter but a larger area.
Answer:
55 Wide and 75 Long works.
Step-by-step explanation:
Since the Perimeter of the original is likely 80 + 80 +50 + 50 = 260 since it it a rectangular lot, 55 + 75 + 55 + 75 = 260 as well, meaning no change in perimeter. Now when we look at the area 80 x 50 = 4000, but
55 x 75 = 4125, leading to a larger plot
QUESTION IS DOWN BELOW WORTH 30 POINTS
Answer:
1.
p=M/V. by rearranging this formula you get
V=M/p
V=560kg/7kg/m³
=80m³ b/c kg canceled kg
2.
p=M/V
=352kg/220m³
=1.6kg/m³
Kathy Beckhardt weighs four of her sheep at the fair. She can weigh two of them at a time on the big scale. Sheep A and sheep B have an average weight of 150 pounds, sheep B and sheep C have an average weight of 127 pounds, and sheep C and sheep D have an average weight of 168 pounds. What is the average weight of sheep A and sheep D?
Using a system of equations, it is found that the average of sheep A and sheep D is of 191 pounds.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are the weights of the sheep, given by A, B, C and D.
Sheep A and sheep B have an average weight of 150 pounds, hence:
[tex]\frac{A + B}{2} = 150[/tex]
A + B = 300 -> B = 300 - A
Sheep B and sheep C have an average weight of 127 pounds, hence:
B + C = 254
300 - A + C = 254
C - A = -46.
A - C = 46.
C = A - 46.
Sheep C and sheep D have an average weight of 168 pounds, hence:
C + D = 336
A - 46 + D = 336.
A + D = 382.
The average weight of sheep A and sheep D in pounds is:
[tex]\frac{A + D}{2} = \frac{382}{2} = 191[/tex]
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The quotient of a number and 4, minus 2, equals 5/4.
Find the number.
Answer:
n=16
Step-by-step explanation:
Giving brainliest to whoever can accurately solve these questions first.
Question 1. Suppose $30,000 is deposited into an account paying 3.5% interest, compounded annually.
How much money is in the account after ten years if no withdrawals or additional deposits are made?
A. 41,878.94
B. 42,317.96
C. 44,350.50
D. 40,500.00
Question 2.
To collect data on the signal strengths in a neighborhood, Pamela must drive from house to house and take readings. She has a graduate student, Kevin, to assist her. Pamela figures it would take her 12 hours to complete the task working alone, and that it would take Kevin 20 hours if he completed the task by himself.
How long will it take Pamela and Kevin to complete the task together?
A. 4.6 hours
B. 5.5 hours
C. 8.2 hours
D. 7.5 hours
1. The amount of money in the account after 10 years is 42,317.96 dollars.
2. it will take Pamela and Kevin 7.5 hours to complete the task together
How to find compound interest?Question(1)
Using compound interest formula,
[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 30,000
r = 3.5% = 0.035
t = 10
n = 1
Therefore,
[tex]A = 30000(1+\frac{0.035}{1} )^{1X10}[/tex]
A = $42,317.96
Question 2:
Pamela takes 12 hours to complete a task.
Kelvin takes 20 hours to complete same task.
The time it will take both of them can be computed as follows:
using rate principle,
let
x = time it will take both of them to do the work together.
[tex]\frac{1}{x}=\frac{1}{12} + \frac{1}{20}[/tex]
[tex]\frac{1}{x}=\frac{20+12}{240}[/tex]
[tex]\frac{1}{x}=\frac{32}{240}[/tex]
cross multiply
240 = 32x
x = 240 / 32
x = 7.5 hours
Therefore, it will take Pamela and Kevin 7.5 hours to complete the task together
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If cos a = 0.871 and cos ß= 0.338 with both angles' terminal rays in Quadrant-I, find the values of
tan(a + 3) =
Your answers should be accurate to 4 decimal places.
Answer:
tan(α+β) ≈ -5.8688
Step-by-step explanation:
You can use the formula for the tangent of the sum of angles, or you can use a calculator to find the angles. The latter is much simpler.
Calculator solutiontan(α+β) = tan(arccos(0.871) +arccos(0.338))
tan(α+β) ≈ -5.8688
Note that the two angles total slightly more than 90°, so the tangent of their sum is a large negative number.
Trig identity solutionThe use of trig identities also requires a calculator, and many more steps.
The tangent of the angle can be found from the cosine using ...
tan(x) = √((1/cos(x))² -1)
tan(α) = √((1/0.871)² -1) ≈ √(1.1481056² -1) ≈ 0.56404479
tan(β) = √((1/0.338)² -1) = √(2.9585799² -1) ≈ 2.7844559
And the tangent of the sum of angles is ...
tan(α +β) = (tan(α) +tan(β))/(1 -tan(α)tan(β))
tan(α+β) = ((0.56404479 +2.7844559)/(1 -(0.56404479)(2.7844559))
tan(α+β) = 3.3485007/(1 -1.5705579)
tan(α+β) ≈ -5.8688
__
Additional comment
The approximate angles are ...
α ≈ 29.4249°
β ≈ 70.2448°
Then α+β ≈ 99.6699°
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b.
The statement that cannot be true is that g cannot be parallel to h (g ║h)
How to know parallel lines in a plane?On the plane ,
line b is parallel to line f.
Therefore,
b ║ f
line f is parallel to line g,
Therefore,
f ║ g
line h is perpendicular to line b.
h ⊥ b
Therefore,
Since line h is perpendicular b, line b is perpendicular to h.
b can be parallel to g on the plane.
g cannot be parallel to h because h is perpendicular to b.
h can be perpendicular to f because b is parallel to f.
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easy points for geometry
Pls Help! Geometry
What is the area of the blue section?
Considering the area of the circles, the area of the blue section is of [tex]50\pi[/tex] cm².
What is the area of a circle?
The area of a circle of radius r is given as follows:
[tex]A = \pi r^2[/tex].
The area of the blue section is given by the area of the larger circle, of radius 10 cm, subtracted by the area of the two smaller circles, each with radius of 5 cm, hence:
[tex]A_G = \pi 10^2 = 100\pi[/tex]
[tex]A_S = 2 \times \pi \times 5^2 = 50\pi[/tex]
[tex]A_B = A_G - A_S = 100\pi - 50\pi = 50\pi[/tex]
The area of the blue section is of [tex]50\pi[/tex] cm².
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how many 4 digit numbers can I make only using the numbers 5533?
A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs.
How much profit would the restaurant make by selling 100 burritos?
Answer these questions to find out.
1. How much money would the restaurant take in by selling 100 burritos
Answer:
1. How much profit would the restaurant make by selling 100 burritos?
Answer: The restaurant would make $550
2. How much money would the restaurant take in by selling 100 burritos
Answer: The restaurant would take in $800
Step-by-step explanation:
First we have to add all the negatives.
-1.50 + -1.00
= -2.50
Now that we have that, we just need to multiply both the 8 dollars and the -2.50 by 100.
8 * 100 = 800
-2.50 * 100 = -250
Now we have the answer for the second question.
The restaurant would take in $800 before the cost of the ingredients.
But now we need to find the profit. (Which is the amount of money they made minus the cost of the ingredients and meat)
800 - 250 = 550
So the restaurant will make $550 in profit.
Hope this helped! :D
Answer:
$550
Step-by-step explanation:
5 5/6 + 2 2/3 mixed number
A cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to one-sixth its height, what portion of the volume of the cup is filled with water?
Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
Linear scale factorIf the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
Volume scale factorThe scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
To measure the height of a tree, Alma walked 125 ft from the tree and
measured a 32° angle from the ground to the top of the tree. Estimate the
height of the tree to the nearest foot.
Answer:
78.11 ft
Step-by-step explanation:
[tex]=125 tan 32\\=78.11 ft[/tex]
log2(1/128)=x, then x =
The value of x will be -7. The expression is solved using the identity.
What is the definition of a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
Given expression;
[tex]\rm log_2(\frac{1}{128}) = x[/tex]
The expression is solved using the identity as;
[tex]\rm log_e1 = x\\\ e^x=1[/tex]
Apply the identity;
[tex]\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7[/tex]
Hence the value of x will bed -7.
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Explain a detailed solution to the advanced function 4096^x = 8
The value of x in 4096^x = 8 is 0.25
How to solve the equation?The equation is given as:
4096^x = 8
Express 4096 as 8^4
8^(4x) = 8
Cancel the common base
4x = 1
Divide by 4
x = 0.25
Hence, the value of x in 4096^x = 8 is 0.25
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City planners are planning to build a new community park. They agree that the park will be rectangular in shape, but the proposed
dimensions changed. At the most recent meeting, it was determined that the length would remain at 21.6 meters but that the width
would increase by 4.7 meters. So, the park would now cover an area of 714.96 square meters.
Which equation can be used to determine the original width of the park?
Answer:
(c) 714.96 = 21.6(w +4.7)
Step-by-step explanation:
The area of the rectangular park will be the product of its length and width. This relation is used to write an equation to find the original width of the park.
WidthLet w represent the original width of the park in meters. The new width is 4.7 meters more, so is represented by (w +4.7).
Other dimensionsThe length of the park is given as 21.6 meters. The area is given as 714.96 square meters.
Area formulaThe various dimensions of the park are related by the area formula:
A = LW
714.96 = 21.6(w +4.7)
Answer: The answer is C i took the k12 5.21 unit test
Step-by-step explanation:
f (x) = 7 |x-5| + 9 does the absolute graph shrink or stretch
Answer:
it shrink
if the number outside the absolute value is greater than 1 it shrinks
if the numerous is smaller than 1 it stretches
remember the saying about the parent function if you run less than 1 mile you are wider than the parent
if you run more than a mile here the number is 7 so it's skinner yhan the
Step-by-step explanation:
Is the relation depicted in the chart below a function?
The true statement is (a) it is a function
How to determine the relation?For a relation to be a function, the following must be true:
Each x value must be paired with exactly one y value
From the table of values, all x values have exactly one y value
This means that the relation is a function
Hence, the true statement is (a) it is a function
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The correct option regarding whether the relation is a function is:
It is a function.
When does a relation represents a function?A relation represents a function if each input X is mapped to only one output Y.
In this problem, this statement is true(input 3 is mapped to output 10 twice, same output so ok), hence it is a function.
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what is the dependent variable of "i did 60 brush strokes in 1 minute"
The dependent variable is time
How to determine the dependent variable?The statement is given as:
"I did 60 brush strokes in 1 minute"
The dependent variable is the variable that is dependent on the action that is done.
From the statement.
The action is the strokes of brush
And time is dependent on the number of strokes
Hence, the dependent variable is time
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Consider the following couple, who are engaged to be married. Assume that each person takes one exemption and the standard deduction. Answer the questions below using the tax rates in the table to the right.
The income tax of Rebecca and Steve will be $27020 and $20625.
How to illustrate the tax?Rebecca has an income of $96500. The income tax will be:
= 28% × $96500
= 27020
Steve has an income of $82500. The income tax will be:
= 25% × $82500
= 20625
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If a bond is trading at a premium, what is the relationship between the bond's coupon rate, current yield and yield to maturity?
A bond purchased at a premium, it will have a yield to maturity and current yield that is lower than its coupon rate.
What is a Premium bond?This is usually above its face value which may be as a result of the interest rate being higher than the current market interest rates.
When a bond is traded at a premium, the yield to maturity and current yield will be lower than its coupon rate.
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I need help solving this problem
Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will it take the boat to travel 36 miles downstream and 36 miles upsteam? (Two answers)
The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.how long will it take the boat to travel 36 miles downstream and 36 miles upstream?The time taken by the boat upstream will be calculated as:-
( B + W ) Td = D
( 12 + 3 ) Td = 32
( 15 ) Td = 32
Td = 32 / 15 = 2.1 hours
The time taken by the boat downstream will be calculated as:-
( B - W ) Tu = D
( 12 - 3 ) Tu = 32
9 Tu = 32
Tu = 32 / 9 = 3.56 hours.
Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
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Suppose N1 can be exchanged for £0.12, what is the value of N12 in pounds?
Answer:
£1.44
Step-by-step explanation:
N1 = £0.12
N12 = 12 × N1 = 12 × £0.12 = £1.44
If using the method of completing the square to solve the quadratic equation x^2-9x+2=0 which number would have to be added to "complete the square"?
The number that would have to be added to complete the square is 81/4.
What is a Quadratic Equation ?Quadratic equations are polynomials of degree 2 , It is represwented by ax² + bx +c = 0.
The quadratic equation given is
x² -9x +2 = 0
x² -9x + (81/ 4) - (81/4) + 2 = 0
x² -9x + (9/2)² - (81/4) +2 = 0
(x - 9/2)² - (73/4) = 0
Therefore , 81/4 will be added to complete the square to solve the quadratic equation.
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A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 8? Express your answer as a fraction or a decimal
number rounded to four decimal places.
Answer:
Step-by-step explanation:
Nines: (3,6), (4,5), (5,4), (6,3)
Tens: (4,6), (5,5), (6,4)
Elevens: (5,6), (6,5)
Twelves: (6,6)
4 + 3 + 2 + 1 = 10 outcomes possible
36 outcomes total for rolling two dice.
P(sum > 8) = 10/36 or 5/18 simplified.
At a harvest 16 ears are being picked foot every 18 peppers. If 19 peppers have been picked, how many eats of corn have been picked?
The number of eats of corn which have been picked is; 16.9 corns.
How many eats of corn have been picked?According to the question; 16 eats of corn are being picked foot every 18 peppers. In essence, the ratio of corns to peppers is; 16/18.
Hence, it follows that the number of corns which corresponds to 19 peppers been picked can be evaluated as follows;
16/18 = x/19
x = (19×16)/18
x = 16.9 eats of corn.
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Find the values of x and y.
Answer: is C
Step-by-step explanation: