The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and length.

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Answer 1

Answer: $w-the\ width\nl-the\ length\n\nw=l-12\n\nthe\ perimeter\ of\ rectangle:P=2(w+l)\ and\ P=156cm\n\n2(w+l)=156\to\ put\ w=l-12\ to\ equation:\n\n2(l-12+l)=156\n2(2l-12)=156\ \ \ \ |divide\ both\ sides\ by\ 2\n2l-12=78\ \ \ \ \ |add\ 12\ to\ both\ sides\n2l=90\ \ \ \ \ |divide\ both\ sides\ by\ 2\nl=45\n\nw=45-12=33\n\nSolution:the\ width\ equal\ 33cm\ and\ the\ length\ equal\ 45cm.$

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The ratio of D's to A's in the school was 4 to 72. If there were 1080 A's in the school this term, how many D's were there? Write your answer in a complete sentence.

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Answer:

To find the number of D's in the school, we can use the given ratio of D's to A's and the number of A's provided.

The ratio of D's to A's is given as 4 to 72. This means that for every 4 D's, there are 72 A's.

We are also given that there are 1080 A's in the school this term.

To find the number of D's, we can set up a proportion using the ratio:

4 D's / 72 A's = X D's / 1080 A's

Cross-multiplying, we get:

4 * 1080 = 72 * X

Simplifying further:

4320 = 72X

Dividing both sides by 72:

X = 4320 / 72

X = 60

Therefore, there were 60 D's in the school.

Step-by-step explanation:

If 1/4 inch represents 50 miles, how many inches are needed to represent 225 miles?

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0.25 inch ---> 50 miles
?? inches ---> 225 miles
so the answer is (225*0.25)/50 = 1.125 inches

How can I find the missing values to complete the table? I am a bit confused.

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To find the missing values, find the slope of the equations. Since both equations are linear, we know that the slope is linear. We can find the slope of the equations by using the equation for slope.

Slope for Y1:
m = (y2 - y1) / (x2 - x1) = (11 - 15) / (-3 - -5) = -4 / 2 = -2

Therefore, for Y1, you can subtract 2 from each previous answer to fill in the column. So underneath 15 would be 13, then 11, then 9, etc.

Slope for Y2:
m = (y2 - y1) / (x2 - x1) = (-12 - -15)) / (-4 - -5) = 3 / 1 = 3

Therefore, for Y2, you can add 3 from each previous answer to fill in the column. So underneath -15 would be -12, then -9, then -6, etc.

A tutor charging 30$ per hour for 3 hours is it proportional to time or non proportional to time