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Ivenika [448]
3 years ago
14

Kurt is designing a table for a client. The table is a rectangular shape with a length 26 inches longer than its width. The peri

meter of the table is 316 inches. What is the width of the table in inches?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Width of the table is 66 inches.

<u>Step-by-step explanation:</u>

Perimeter of rectangle is twice of width and length,

i.e. P = 2( l + w )

According to question, length is 26 inches longer than width

∴ l = w + 26

Now,

<em>P = 2( l + w ) = 316 inches</em>

<em>⇒ 316 =  2( l + w ) </em>

<em>⇒ 316 =  2( w + 26 + w )      </em><em> </em>∵ l = w + 26

<em>⇒ 316 =  4 w + 52</em>

<em>⇒ 264 = 4 w</em>

<em>⇒ w =  </em><em>66 inches</em>

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The original price was 7.

Chloe got a 15% discount; this means she paid 100-15 = 85% of the price.  Letting x be the price, Chloe paid 0.85x.

Denise got a 20% discount; this means she paid 100-20 = 80% of the price.  Denise paid 0.8x.

We know that Chloe paid 35p more; this gives us the equation
0.85x = 0.8x + 0.35

We do not want a variable on both sides, so we subtract 0.8x from both:
0.85x - 0.8x = 0.8x + 0.35 - 0.8x
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Divide both sides by 0.05:
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4 years ago
The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random f
Marrrta [24]

Answer:

Pr = \frac{9}{49}

Step-by-step explanation:

Given

d = 28 --- big circle

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Required

Probability that a point selected lands on the small circle

Calculate the area of the big circle using;

A_1 = \pi r^2

Where

r = d/2

So, we have:

r = 28/2 = 14

This gives:

A_1 = \pi * 14^2

A_1 = \pi * 196

A_1 = 196\pi

The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle

This gives:

Pr = \frac{36\pi}{196\pi}

Pr = \frac{36}{196}

Simplify

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3 years ago
A basketball player made 36 free throws in 16 games. Find the ratio of free throws to games.
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Answer:

Step-by-step explanation:

Answers

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(s o t)(-7)=s(t(-7))=s(-21)=-439

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Are the directions asking you to solve these ?
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