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Lady_Fox [76]
3 years ago
5

9a - 3 (a - 6) = -6 a=___

Mathematics
1 answer:
leonid [27]3 years ago
7 0
9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4
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Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 w
Marat540 [252]

Answer:

She makes $1041 in 2 weeks

Step-by-step explanation:

First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.

17.35x6=104.1

She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week

104.10x5=520.50 a week

Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2

520.5x2=1041

She makes $1041 in 2 weeks

5 0
3 years ago
The perimeter of the rectangle is 22 meters, and the perimeter of the triangle is 12 meters. Find the dimensions of the rectangl
lianna [129]

Answer:

Length:8 m

Width:3 m

Step-by-step explanation:

<u><em>The complete question is</em></u>

If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.

step 1

<em>Perimeter of rectangle</em>

we know that

The perimeter of rectangle is equal to

P=2(L+W)

we have

P=22\ m

so

22=2(L+W)

Simplify

11=L+W -----> equation A

step 2

Perimeter of triangle

The perimeter of triangle is equal to

P=\frac{L}{2}+W+5

P=12\ m

so

12=\frac{L}{2}+W+5

Multiply by 2 both sides

24=L+2W+10

L+2W=14 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (8,3)

see the attached figure

therefore

The dimensions of the rectangle are

Length:8 m

Width:3 m

3 0
3 years ago
How many ways can you make 65 cents using nickels dimes and quarters
Neporo4naja [7]

Answer:

14 ways in all.

Step-by-step explanation:

A. If you use 2 quarters, you have to make the remaining 15� with either no

dimes or 1 dime and the rest in nickels.

That's 2 ways.

B. If you use 1 quarter, you have to make the remaining 40� with either no

dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.

That's 5 more ways.  

C. If you don't use any quarters, you have to make the entire 65� with either

0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.

That's 7 more ways.  2+5+7 = 14 ways in all.

4 0
3 years ago
49 divided by ? makes the 49 a lower number?
ad-work [718]

Answer:

im not sure what you mean can you elaborate

Step-by-step explanation:

8 0
3 years ago
Answer asap, please<br> needed by 2:00 pm
myrzilka [38]

Answer:

x < -3

Step-by-step explanation:

The domain in which the function is increasing or getting bigger is from x is negative infinity to  is -3

x < -3

7 0
3 years ago
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