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Veronika [31]
3 years ago
8

Q + 12 - 2 (q - 22) > 0 Please explain how you got the answer.

Mathematics
2 answers:
NARA [144]3 years ago
8 0

\text{Hello there!}\\\\\text{Solve for q:}\\\\q + 12 - 2 (q - 22) > 0\\\\\text{Distribute the -2 to the variables inside the parenthesis}\\\\q + 12 - 2q +44 > 0\\\\\text{Combine like-terms}\\\\-q+56>0\\\\\text{Subtract 56 from both sides}\\\\-q>-56\\\\\text{Divide both sides by -1. Flip the inequality since you're dividing by}\\\text{a negative}\\\\\boxed{q

cluponka [151]3 years ago
7 0

Answer:

<h3>q<56</h3>

Step-by-step explanation:

To solve this problem, first, you have to isolate it on one side of the equation. Isolate q on one side of the equation.

q+12-2(q-22)>0

q+12-2(q-22)-12>0-12 (First, subtract by 12 from both sides.)

0-12 (Solve.)

q-2(q-22)>-12

<u><em>DISTRIBUTIVE PROPERTY:</em></u>

A(B+C)=AB+AC

A(B-C)=AB-AC

-2(q-22) (Expand.)

-2*q=-2q

-2*22=44

-2q+44

q-2q+44>-12

q-2q=-q (Add & subtract the numbers from left to right.)

-q+44>-12

-q+44-44>-12-44 (Subtract by 44 from both sides.)

-12-44 (Solve.)

-12-44=-56

-q>-56

(-q)(-1)<(-56)(-1) (Multiply -1 from both sides.)

(-56)(-1) (Solve.)

(-56)(-1)=56

q<56

In conclusion, the correct answer is q<56.

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Nari says, "The sum of 10 and one-third of a number is 25." She uses the bar model to write an equation to represent her
Mariana [72]

Answer:

25=10+\frac{1}{3}n.

Step-by-step explanation:

It is given that the sum of 10 and one-third of a number  is 25.

Let as consider n be the unknown number.

One-third of a number =\frac{1}{3}n

Sum of 10 and one-third of a number =10+\frac{1}{3}n

The sum of 10 and one-third of a number  is 25. It can be written as

25=10+\frac{1}{3}n

Therefore, the required equation is 25=10+\frac{1}{3}n.

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What is the area of this? Please help
Slav-nsk [51]

Answer:

<u>364 cm²</u>

Step-by-step explanation:

Area of the figure :

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  • 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
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What is the total cost of the menu? The total cost of the menu is $______ (approximately 2 decimal places)
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Answer:

4.67

Step-by-step explanation:

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Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for was
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Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

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27x = 300

x = 300/27

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B. Diego makes more money for washing each window than Elena makes for making each call.

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10 windows = $11.11

Each window = $11.11/10

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Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

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18 windows = 18 × $1.11

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E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

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