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leva [86]
3 years ago
14

To join a dance class, there is an enrollment fee of $50 plus a monthly fee of $65. How many months of dance, d, can Audra take

if she has $850 to spend on dance?
Mathematics
1 answer:
Luda [366]3 years ago
7 0

Hi Candisjhnsn,

To get the answer we need to add, subtract, and divide. So, for the first month we pay $115 cause $65 + $50 = $115. So, $850 - $115 = $735. Now, $735/$65 = 11.3076923077 but, you can't have .3076923077 of a class so, she will only have enough for 11 classes.

Hope This Helps!

Cupkake~

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The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins
garik1379 [7]

Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

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b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

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3 0
3 years ago
The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the re
AveGali [126]

Answer:

Length = 37 feets

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Step-by-step explanation:

Given that :

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Width, w = 7 + l

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Perimeter of a rectangle = 2(l + w)

P = 2(l + w)

162 = 2(l + (7 + l))

162 = 2(l + 7 + l)

162 = 2(7 + 2l)

162 = 14 + 4l

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148 = 4l

l = 148 / 4

l = 37 feets

Width = l + 7

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Width = 37 + 7 = 44 feets

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3 years ago
Suppose the average of 15 consectutive numbers is 15. What is the average of the first five numbers of the set?
Marina86 [1]
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The first five numbers of the set: 8, 9, 10, 11, 12
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