Solve 2(4x – 3) = 2(x + 2) + 8 for x. A. x = –2 B. x = 4 C. x = 3 D. x = –5

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Solve the equation by applying the distributive property and combine like terms. Then use inverse operations to isolate the variable.

2(4x – 3) = 2(x + 2) + 8 Distributive Property

8x - 6 = 2x + 4 + 8 Add 4 + 8

8x - 6 = 2x + 12 Add 6 to both sides

8x = 2x + 12 + 6 Add 12 + 6

8x = 2x + 18 Subtract 2x from both sides

8x - 2x = 18 Subtract 8x - 2x

6x = 18 Divide by 6

x = 3

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ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 2 : 11. If the longest side of ΔABC measures 15 units, what is the length of the longest side of ΔDEF?

Answers

Answer:

82.5 cm

Step-by-step explanation:

For similar triangles, ratio of perimeter will equal to ratio of sides.

Here we are given that triangles ABC and DEF are similar.

This implies the corresponding sides are proportional.

By corresponding we mean that the longest sides of ABC with the longest side of DEF.

Hence Longest side of ABC/Longest side of DEF = Ratio of sides

= Ratio of perimeter.

Let the longest side of DEF be x.

i.e. 15/x = 2/11

Cross multiply to get

2x = 165

Divide by 2

x = 82.5 cm.

Hence the longest side of Triangle DEF = 82.5 cm.

Verify: Check proportions of longest sides

= $(15)/(82.5) =(2)/(11)$ which equals ratio of perimeters.

Thus verified.

Seven less than a number divided by three is five

Answers

let that number be x

$7 < (x)/(3) = 5$

-10.216 + C Equals 12.014

What is C
Confused

Answers

you need to take the -10.216 over to the 12.014,
c=12.014+10.216
c=22.23

If Bryce's bank account has a balance −$50, how much money does he owe the bank?A) −$100
B) $100
C) −$50
D) $50

Answers

Answer:

The answer is D

Step-by-step explanation:

she is down 50 dollars so she needs to pay it back to the bank

There is 15 girls and 25 boys in a science club . what percent of the members are girls?

Answers

Answer:

Step-by-step explanation:

Total member = 25 + 15 = 40

$girls percentage = (15)/(40)*100\n\n=(15)/(2)*5\n\n=(75)/(2)=37.5\n$

= 37.5%

The quotient of a number and -9 increased by 10 is 11.Translate the sentence into an equation. then find the number that is described in the sentence.
I would like you to use the two-step equation process please.

Answers

so the division of a number and -9 or
x/-9

+10=11 or

(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9

Your equation would look like this . . .

n/-9 + 10 = 11

*solve by subtracting 10 from both sides, and then multiplying both sides by -9

n = (11 + 10)*-9 = -9

n = -9

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