What is the value of x?
Corey359 avatar

Answers

Answer 1
Answer: 3x/7 + 5/7 = 4/7

First, since the fractions carry the same denominator (luckily), we can easier combine the first two fractions, resulting in having to add the numerators.
(3x + 5)/(7) =  (4)/(7)

Second, our next step is to multiply both sides by 7. Our goal is to get the variable (x) by itself on one side of the problem, so we have to do everything on the other side. 
3x + 5 =  (4)/(7) * 7

Third, let's simplify 4/7 × 7. To do so, we multiply the whole number by the numerator. Basically, 7 × 4 = 28. 
3x + 5 =  (28)/(7)

Fourth, we can now simplify 28/7. To do this, we can ask ourselves, what can multiply into 7 to equal 28? 7 ÷ 28 = (4), so 4 is our answer for this.
3x + 5 = 4

Fifth, we can continue doing everything on one side. We will need to subtract 5 from each side. 
3x = 4 - 5

Sixth, let's simplify 4 - 5, which is easily -1. Our problem will look like 3x = -1, but we have one more step to do. Our last step is to divide each side by 3. This will create a fraction. Our fraction will be negative because we carried our -1 over.
x = - (1)/(3)

Answer in fraction form: \fbox {-1/3}
Answer in decimal form: \fbox {-0.3333}

Related Questions

3 5\16 in decimal form
What strategies have you learned for solving proportions
Michael made a baby quilt that was 3 feet wide. It's perimeter was 16 feet. What was it's area?
Carmen has 10 boxes of seashells with 6 seashells in each box. She gave away 5 seashells. Which steps can you use to find the number of seashells she has now?
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 12 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 12 mile in order to arrive just as school begins today? 4

Evaluate the expression 2×2×2[1/4+4(36÷12)]

Answers

2*2*2[(1)/(4)+4(36:12)]=8((1)/(4)+4*3)=8*((1)/(4)+12)=8*12,25=98

Nick read 3 pages in 1 minute. Write the ordered pairs for 0, 1, 2, and 3 minutes.

Answers

6 in 2 mins 9 for 3 mins 1 for 3 mins and 0 for 0 mins

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. Explain your answer. 7.81 units
8.17 units
8.58 units
10.4 units

Answers

Answer:

A 7.81

Step-by-step explanation:

Use the distance formula to find the distance between coordinates.

d = √((2--4)^2 + (5-0)^2) \nd = √((2+4)^2 + (5)^2) \nd = √((6)^2 + (5)^2) \nd = √(36 + 25) \nd = √(61) \nd=7.81

Answer:

hello ik you asked the question like 2 years ago but i just took it and it was 7.81!

Step-by-step explanation:

What is 13.8924439894 rounded to the nearest tenth

Answers

1st decimal place=tenth
2nd=hundreth

to round, you look at the place after it
so 13.8924439894 to tenth
look untill hundreth
13.89
if hundreth>5, round tenth up
if hundreth place<5 leave tenth as is

13.89
9>5
round up
8+1=9
13.9 is to theh tenth

the answer is 13. 90 if you round it to the nearest tenth. the nearest tenth is the 9 the first nine.( if the number is 0-5 then it will become a 0 but if the number is 5-9 you would add one to the number in front of it) since the number is 9 then the 8 would become a 9 so your answer would be 13.90


hope I explained it well enough.

during unusually cold weather , the tempature in miami beach was 10cº.This was 12degrees more than the tempature in tallahassee. what is the temp in tallahassee

Answers

the degrees in tallahassee was -2c degrees
Since this says that maimi has a temperature more than tallahassee, that means TAs temp will be less than miamis. So subtract 12 from 10 giving you -2* :)

a server to cook ratio of 5 to 2. the total number of cooks and servers are 42 how many servers does stand steakhouse employ.

Answers

if you divide 42 into groups of 7 then that means that each group would have 5 servers and 2 cooks. so the steps are, you divide 42 by 7 and get 6 (there are 6 groups of 7) so 6*5 would be the number of servers and 6*2 would be the number of cooks. #server = 30 #cooks=12
Other Questions