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SVETLANKA909090 [29]
4 years ago
12

a square drive thru window at the local coffee shop has a perimeter of 120 inches what is the length of each side

Mathematics
2 answers:
Alex17521 [72]4 years ago
7 0
120÷4
4 sides
120÷4=30
koban [17]4 years ago
3 0
120 divided 4 = 30 inches on each side

it is divided by 4 becasue it is a square drive thru and it has four sides.

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Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kin
xz_007 [3.2K]

Answer:

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x----> the number of dimes

y----> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 ------> equation A

x=y+3-----> equation B

z=y-4 -----> equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

<em>Find the value of x</em>

x=y+3 -----> x=7+3=10 dimes

<em>Find the value of z</em>

z=y-4 -----> z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

6 0
3 years ago
Which function is the inverse of Rx) = 8x + 4?
babunello [35]

Answer:

B.~f^{-1}(x)=\frac{x-4}{8}

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

x=8y+4\\x-4=8y\\\frac{x-4}{8}=y

5 0
2 years ago
Read 2 more answers
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
Please help me, I have no clue what its asking and I have to explain it in class tomorrow morning
Nat2105 [25]

Answer:

The term was obtained by grouping and adding the all x terms in the expression.

Step-by-step explanation:

The example has already provided this step:

(x -4) +(x +1) +(¼x +5)= \frac{9}{4} x + 2

Thus, the question is asking how is \frac{9}{4} x derived from the expression.

The attached picture shows the intermediate working to arrive at the final perimeter expression.

This expression is later equated to 20 since it is given that the perimeter of the traingle is 20 inches.

3 0
3 years ago
Which of the following is a function?
seropon [69]

Answer:

C

Step-by-step explanation:

For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.

7 0
3 years ago
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