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dalvyx [7]
3 years ago
11

One number is 7 less than 3 times the second number. Their sum is 29. Find the numbers.

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

<h3>The numbers are 20 and 9 </h3>

Step-by-step explanation:

Let the first number be x

Let the second number be y

<u>For the first equation </u>

One number is 7 less than 3 times the second number is written as

x = 3y - 7

<u>For the second equation</u>

The sum of the two numbers is 29

So we have

x + y = 29

Substitute the first equation into the second one

That's

3y - 7 + y = 29

4y = 29 + 7

4y = 36

Divide both sides by 4

<h3>y = 9</h3>

Substitute y = 9 into x = 3y - 7

That's

x = 3(9) - 7

x = 27 - 7

<h3>x = 20</h3>

The numbers are 20 and 9

Hope this helps you

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3 0
3 years ago
A triangle is removed from the rectangle. Find the area of the remaining figure.
Mariulka [41]

Answer

C) 160 in^2


Step by step explanation

First, let's find the area of the rectangle.

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The area of the rectangle = 20 * 10

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Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

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The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

=  200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

5 0
3 years ago
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Answer:

3

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4 0
3 years ago
The slope of (17,2) and (18,-17)
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<u>m= -19/1</u>

We need to use the slope equation

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We are working with the points,  

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  x1    y1                       x2       y2

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<u>m= -19/1</u>

4 0
3 years ago
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