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allsm [11]
3 years ago
9

If 2c - 5 = 3d + 4, what does c equal, in terms of d?

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

Answer:

d. \:  \frac{3d + 9}{2}

Step-by-step explanation:

Follow the steps below.

2c - 5 = 3d + 4 \\ 2c = 3d + 9 \\ c =  \frac{3}{2} d +  \frac{9}{2}  \: or \: c =  \frac{3d + 9}{2}

So D is correct.

saw5 [17]3 years ago
5 0

Answer:

D. \frac{3d+9}{2}

Step-by-step explanation:

2c - 5 = 3d + 4

Isolate 2c.

2c = 3d + 4 + 5

Simplify.

2c = 3d + 9

(2c ÷ 2 = c) Find c.

c = \frac{3d+9}{2}

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3 years ago
Which properly justifies the statement? If 4x=20, then x=5
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3 years ago
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
ycow [4]

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

Male = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Male = 9C3

Male = \frac{9!}{3!(9-3)!}

Male = \frac{9!}{3!(6)!}

Male = \frac{9 * 8 * 7 * 6!}{3!6!}

Male = \frac{9 * 8 * 7}{3!}

Male = \frac{9 * 8 * 7}{3*2*1}

Male = 84 ways

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

Female = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Female = 7C2

Female = \frac{7!}{2!(7-2)!}}

Female = \frac{7!}{2!(5)!}

Female = \frac{7 * 6 * 5!}{2!5!}

Female = \frac{7 * 6}{2!}

Female = \frac{42}{2*1}

Female = 21 ways

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

Total = 84 * 21

Total = 1764 ways

4 0
3 years ago
Could 8.8cm, 8.0cm, and 8.8cm be the side lengths of a triangle? Yes or no?
Ne4ueva [31]

Answer:

yes it could be

Step-by-step explanation:

the sum of any two sides needs to be greater than the value of the third, 8.8 +8.8 is greater than 8.0, 8.8 + 8.0 is greater than 8.8

4 0
3 years ago
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