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jeka94
3 years ago
5

Simplify each expression using the distributive property 9(-7q-6)​

Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(* ̄▽ ̄*)ブ

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George bought a shirt and a pair of pants at a clothing store. The pants cost $5.23 more than the shirt, and he used a $10 off c
tekilochka [14]

The pants cost $36.06 ⇒ answer D

Step-by-step explanation:

George bought a shirt and a pair of pants at a clothing store

1. The pants cost $5.23 more than the shirt

2. He used a $10 off coupon to purchase the shirt

3. The equation s - $10 = $20.83 is used to determine the cost of the

    shirt before the coupon

We need to find the cost of the pants

∵ s represents the cost of the shirt before the coupon

∵ s - 10 = 20.83

- Add 10 to both sides

∴ s = $30.83

The cost of the shirt before the coupon is $30.83

∵ The cost of the pants is $5.23 more than the cost of the shirt

∴ The cost of the pants = the cost of the shirt + $5.23

∵ The cost of the shirt is $30.83

∴ The cost of the pants = 30.83 + 5.23

∴ The cost of the pants = $36.06

The pants cost $36.06

Learn more:

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6 0
4 years ago
Find the ordered pair of both 4x-3y=6 and 6x + y =42
WINSTONCH [101]

Answer:

(-60/11,111/11)

Step-by-step explanation:

Solving simultaneously, 4x - 3y=6

-3(6x + y=42)

then it becomes, 4x - 3y=6

-18x - 3y= 126 subtracting the two equations,

22x= -120, x= -60/11 and y = 111/11

7 0
3 years ago
A scale drawing of an apartment is shown. What are the actual dimensions of the Living Space?
OLEGan [10]

Answer: 12 Centimeter

Step-by-step explanation:

3 by 4 multiplied by 2

3cm x 4cm x 2

= 12cm x 2

= 24cm

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4 years ago
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Step-by-step explanation:

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3 years ago
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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
4 years ago
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