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Otrada [13]
3 years ago
7

What is the value of s in the equation 4(2s − 1) = 7s + 12? (4 points)

Mathematics
2 answers:
avanturin [10]3 years ago
6 0

Answer:

B. 16

Step-by-step explanation:

Solve for s:

\longrightarrow 4(2s - 1) = 7s + 12

Expand out terms of the left hand side:

\longrightarrow 8s - 4 = 7s + 12

Subtract 7 s from both sides:

\longrightarrow (8s - 7s) - 4 = (7s - 7s) + 12

8s - 7s = s:

\longrightarrow s - 4 = (7s - 7s) + 12

7s - 7s = 0:

\longrightarrow s - 4 = 12

Add 4 to both sides:

\longrightarrow s + (4 - 4) = 4 + 12

4 - 4 = 0:

\longrightarrow s = 12 + 4

12 + 4 = 16:

\longrightarrow s = 16

notka56 [123]3 years ago
3 0

Answer:

B) 16

8s-4=7s+12

s-4=12

s=16

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Write an equation of the lines passes through (4,1) and is parallel to y= -2x+7
Nastasia [14]

Answer:

y = -2x + 9

Step-by-step explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

-2 = \frac{y - 1}{x - 4}

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5 0
2 years ago
A catering service offers
Fiesta28 [93]

Answer:

There are 52920 ways to do the banquet

Step-by-step explanation:

* Lets revise the combination to solve this problem

- A combination is a collection of the objects where the order

 doesn't matter

- The order is not important in this problem, so we can use the  

  combination nCr to find how many ways can this done

* Lets solve the problem

- A catering service offers 6 appetizers, 7 main courses, 10 desserts.

- A customer is to select 5  appetizers,  4  main courses, 5  desserts

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∵ We want to select  5  appetizers from 6

∴ There are 6C5 ways to chose the appetizers

∵ 6C5 = 6

∴ There are 6 ways to chose the appetizers

∵ We want to select  4  main courses from 7

∴ There are 7C4 ways to chose the main courses

∵ 7C4 = 35

∴ There are 35 ways to chose the main courses

∵ We want to select  5  desserts from 10

∴ There are 10C5 ways to chose the desserts

∵ 10C5 = 252

∴ There are 252 ways to chose the desserts

- To find the number of ways to do the banquet multiply all the

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∵ The total ways = 6C5 × 7C4 × 10C5

∴ The total ways = 6 × 35 × 252 = 52920

* There are 52920 ways to do the banquet

5 0
3 years ago
Evaluate -(2^-6)(2^3) apex <br> A.-1 over 8<br> B. -8<br> C.1 over 8<br> D.8
Andrews [41]

Answer:

option c is the correct answer.

5 0
3 years ago
I really need help for this geometry question, I would appreciate any help thank you.
Vsevolod [243]
You know that you have the Opposite side and the Adjacent side. therefore you would use Tangent (T= O/A)
because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
Your answer is 31°
8 0
2 years ago
Is it c or d ?im confused on this question
sladkih [1.3K]
It’s D, when lines are perpendicular, the slopes of the lines are opposite reciprocals.
8 0
3 years ago
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