2(4x+3)=7x+5 Solve the equation above for x. Which of the following is correct?

A. 1

B. 2

C. -1

D. 11

Answer Explanation:

we follow the order operations to solve for the unknown value of x.

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.

Therefore, the Correct Answer is C.

Q #1: A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in table above. Which of the following would best display the data? Tree type Apple Orange Lemon Banana Pear Number of trees 20 10 12 25 21

A. Bar graph

B. Stem and leaf plot

C. Line graph

D. Scatter plot

Answer Explanation

Based on the above data, the horizontal axis will be tree type and vertical axis will represent the number of trees.

Based on these, a bar graph is appropriate to represent the number trees.
Q #2: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb =1 kg)

A. 110 lb

B. 220 lb

C. 52.2 lb

D. 22.7 lb

Answer Explanation

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

And

Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:

Thus, 50 kg is equal to 110 lb.
Q #3: An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?

A. 7 minutes

B. 8 minutes

C. 7.5 minutes

D. 8.5 minutes

Answer Explanation

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.

Total distance=4+4=8 miles

Total time=28+32 =60 minutes

From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.

So, the athlete covers 1 mile in 7.5 minutes.