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zavuch27 [327]
3 years ago
5

In one year Megan spent 359.94 on her gym membership at the same monthly rate of 59.99. Write an equation to represent this situ

ation. Identify and define your variable
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

359.94 = 59.99 * X

Step-by-step explanation:

The situation is determined by the following equation:

T = M * X

Being M the monthly value, that is to say 59.99

T the total value, that is 359.94

And X would be the number of months, and at the same time the variable.

In this case it would be like this:

359.94 = 59.99 * X

If we solve for X, we are left with:

X = 359.94 / 59.99

X = 6

That is to say that Megan went to the gym for 6 months of the year

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The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.
Salsk061 [2.6K]
The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units 

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

3 0
3 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Convert the following Logarithmic Equation into a Exponential Equation.<br><br> log_3(-2x+1)=-2y+6
lozanna [386]

Answer:

3^(-2y + 6) = (-2x+1)

Step-by-step explanation:

We have;

log_3_(-2x+1) = -2y + 6

What this means in exponential form is that;

3^(-2y + 6) = (-2x+1)

3 0
3 years ago
Fourteen less than the quotient of a number and 5
Ede4ka [16]

Answer:

Step-by-step explanation:

14-(a/5)

6 0
3 years ago
Find the area of the equilateral triangle whose sides are 4 yd.
suter [353]

Answer:

The first one. 4 times square root of 3.

Step-by-step explanation:

The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.

4 0
3 years ago
Read 2 more answers
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