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serious [3.7K]
2 years ago
5

13 – 6x = 2(8 + 3x) x= ???????

Mathematics
2 answers:
ruslelena [56]2 years ago
8 0

Answer:

13-6x=2\left(8+3x\right)

13-6x=16+6x

13-6x-13=16+6x-13

-6x=6x+3

-6x-6x=6x+3-6x

-12x=3

\frac{-12x}{-12}=\frac{3}{-12}

x=-\frac{1}{4}

or

x=-0.25

Alika [10]2 years ago
6 0

Answer:

-1/4 = x

Step-by-step explanation:

first, we distribute the 2 into the parenthesis

13 - 6x = 2(8 + 3x)

13 - 6x = 16 + 6x

then, we add 6x to both sides to move all of the x terms onto one side

13 - 6x = 16 + 6x

13 = 16 + 12x

next, we subtract 16 on both sides

13 = 16 + 12x

-3 = 12x

next, we divide both sides by 12 to isolate x

-3 = 12x

-3/12 = x

finally, we simplify the fraction

-3/12 = x

-1/4 = x

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Sally drives 66 miles in 3 hours and Molly drives 72 miles in 4 hours. What is the difference between their average speed, in mi
Scrat [10]

Answer: A


Step-by-step explanation:

Sally: 66/3=22

Molly: 72/4=18

22-18=4


5 0
3 years ago
Margret is inviting 3 friends to a party. If each friend will get 8 cookies and each box has 6 cookies, how many boxes does Marg
Alisiya [41]

Answer:

Margret need to get 4 boxes of cookies.

Step-by-step explanation:

Total friends = 3

Cookies each friend will get = 8

Each box has cookies = 6 cookies

How many boxes does Margret need to get?

Total cookies will be= Total friends x Cookies each friend will get

Total cookies will be= 3 x 8 = 24

If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes

Number of boxes = Total cookies/ number of cookies in one box

Number of boxes = 24/6

Number of boxes  = 4

So, Margret need to get 4 boxes of cookies.

3 0
2 years ago
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
7. A bag of M&amp;Ms contains the following distribution of colors:
lys-0071 [83]

Answer:

a) 21/1240 = 0.017

b) 9/1240 = 7.26*10^-3

c) 3/2480 = 1.21*10^-3

Step-by-step explanation:

There are total 32 M&Ms in the bag

a) Probability that all three are blue M&Ms (without replacement)

         (9/32)*(8*31)*(7/30) = 21/1240 = 0.017

b)     Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red

         (9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3

c)     Probability that the first two selected are red, and the third one selected is yellow

        (4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3

3 0
3 years ago
You have an equation y=x+7. Is the ordered pair (1,6) a solution? Yes or no?
vaieri [72.5K]
Answer:
no

step-by-step explanation:
y=x+7
x is the slope of 1
7 is the y-intercept
because 7 is the y-intercept and the slope is positive it never touches (1,6)
8 0
2 years ago
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