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3 years ago

15

The perimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which method can be used to find w, the wid

th of the rectangle?

1 answer:

pickupchik [31]3 years ago

5 0

Answer:

50-20 or perimeter-2length

Step-by-step explanation:

15 inches is the width

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You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa

Crazy boy [7]

Answer:

Part A) see the explanation

Part B) $C(12)=\$54$

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form $k=\frac{C}{x}$ or $C=kx$

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B) we know that

The linear equation is given by

$C=kx$

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

$k=\$4.50\ per\ book$

so

$C=4.50x$

For x=12 books

substitute in the equation and solve for C

$C=4.50(12)=\$54$

In function notation

$C(12)=\$54$

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3 years ago

There are 46 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are ther

Andrei [34K]

There are 40 chickens

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3 years ago

Elena has $225 in her bank account. She takes out $20 each week for weeks. After weeks she has d dollars left in her bank accoun

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Answer:

the equation to use would be D (255-20(5) = ?). To solve, first multiply 20 and 5 and you would get 100 so the equation would be 255 - 100 = ? Then you would subtract 100 from the 255 to get $155 left. To solve for 7 weeks you would replace the 5 in the equation with 7 so your equation would be 255 - 20(7) = ? Next you would multiply 20 and 7 to get 140. the equation would then be 255 - 140 = ? Subtract 140 from 255 and you would get 115. So after 7 weeks she would have $115 left in her account.

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3 years ago

A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati

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The $100(1-\alpha)\%$ confidence interval of a standard deviation is given by:

$\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}$

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,

$\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493$

Therefore, the 90% confidence interval for the standard deviation is given by

$\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\ \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59} \\ \\ \Rightarrow41.4\leq\sigma\leq63.7$

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3 years ago

(4x^4 - 14x^3 + 11) - (-14x^6 - 9x^5 - 12x^2) <br><br> Please simplify

yulyashka [42]

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3 years ago