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Travka [436]
3 years ago
11

Which expression below is equivalent to -3x+5(x+2)

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:


                                         Step-by-step explanation:

1.) Apply the distributive law

                5x + 5 * 2

2.) Multiply the numbers

       5 * 2 = 10 is equivalent to 5x + 10

3.) Group like terms

                 5x - 3 + 10

4.) Add/subtract the numbers

                  -3 + 10 = 7 is equivalent to 5x + 7




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Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They
ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

P = 2

G = 3

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

This gives:

P(G_1\ and\ G_2) = P(G_1) * P(G_2)

P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}

P(G_1\ and\ G_2) = \frac{3}{10}

P(P_1\ and\ P_2) = P(P_1) * P(P_2)

P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}

P(P_1\ and\ P_2) = \frac{1}{10}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

P(Same) = \frac{3}{10} + \frac{1}{10}

P(Same) = \frac{3+1}{10}

P(Same) = \frac{4}{10}

P(Same) = \frac{2}{5}

8 0
3 years ago
The lines passing through points (1, 1), (2, 3) and (3, 7), (2,5) on a grid would be ___<br> lines.
Harman [31]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Help pls for 100 points!!!
Rus_ich [418]

Answer:

x\leq 9

Step-by-step explanation:

Subtract 7 From both sides

x+7-7\le \:16-7

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What are the values of the trigonometric ratios for this triangle?
Norma-Jean [14]
We know that
in the right triangle

<span>sinθ=opposite side/hypotenuse
</span><span>cosθ=adjacent side/hypotenuse
</span><span>tanθ=opposite side/adjacent side

in this problem
opposite side angle </span>θ=8
adjacent side angle <span>θ=15
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</span>sinθ=8/17
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4 0
3 years ago
6. Regroup the numbers in the following problems, putting the numbers that add up to 10 or a multiple of 10 in parentheses.
svetoff [14.1K]

Answer:

a) (2+8)+9

b) (3+7)+5+4

c) (4+16)+2

d) (31+9)+4

Step-by-step explanation:

a) 2+9+8

2 and 8 add up to 10, so we regroup them in parentheses

(2+8)+9


b) 3 + 5 + 4 + 7

3 and 7 add up to 10, so we regroup them in parentheses

(3+7)+5+4


c) 4 + 2 + 16

4 and 16 add up to 20 which is a multiple of 10, so we regroup them in parentheses

(4+16)+2


d) 31 + 4 + 9

31 and 9 add up to 40 which is a multiple of 10, so we regroup them in parentheses

(31+9)+4

4 0
3 years ago
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