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Cloud [144]
3 years ago
5

The product of a number and -8 gives eight times the sum of that number and 36. Find that number

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

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A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peop
yKpoI14uk [10]

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

4 0
3 years ago
Liam has 3 games and 10 songs on his computer. How many outcomes are possible when randomly choosing a song and a game?
cupoosta [38]
3 outcomes are possible because you only have 3 games on it, and it is mandatory to only have 1 game and 1 song at a time.
5 0
3 years ago
What is an equation of the line that passes through the point (-4,-7) and is perpendicular to the line 2x+3y=18??
Bezzdna [24]

Answer:

y = 3/2x - 1

Step-by-step explanation:

Given: 2x + 3y = 18

The equation of the line in the slope-intercept form is y = -2/3x + 6.

slope = m = -2/3

The slope of the perpendicular line is negative inverse.

m = 3/2.  

Equation of the perpendicular line:

y = 3/2x + a.

Use the given point of (-4, -7) to find a:

-7 = (3/2)(-4) + a

a=−1.

y = 3/2x - 1

6 0
3 years ago
Jan jdjnznxwjzn help
Katyanochek1 [597]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
I need help ;^; pleeeeease​
GREYUIT [131]

Answer:

- 9 \sqrt{48}  - 8 \sqrt{12}  \\  =  - 9 \times 4 \sqrt{3}  - 8 \times 2 \sqrt{3}  \\ =   - 36 \sqrt{3}  - 16 \sqrt{3}  \\ =   \sqrt{3} ( - 36 - 16) \\ =   \sqrt{3}  \times  - 52 \\  =  - 52  \sqrt{3}  \\ thank \: you

7 0
2 years ago
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