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Tanya [424]
3 years ago
10

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the

following absolute value inequalities matches this scenario?
Question 1 options:

A) 
|x + 25| > 6

B) 
|x – 25| ≤ 6

C) 
|x + 25| ≤ 6

D) 
|x – 6| > 25
Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

|x – 25| ≤ 6

Step-by-step explanation:

Given:

Car run per gallon = 25 miles per gallon

Fluctuate value = 6 miles per gallon

Find:

Equation

Computation:

x ≤ 25 ± 6

|x – 25| ≤ 6

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If the ratio was 0.5 in to 1.5, what is the actual length of the car
Sonja [21]

Answer:

Actual length = 36

Step-by-step explanation:

<u>0.5 inches</u> = <u>12 inches</u>

    1.5         =      x

0.5x = 18      Solve for x

x = 36

I hope this helped and please mark me as brainliest!

7 0
2 years ago
The equation x+5=27 is solved below. When we describe the first step we say that we "Subtract 5 from both sides." We do not say
vagabundo [1.1K]

Answer:

If you were to move five to the other side, the equation would have a completely different outcome. Instead of x + 5 = 27 it would be x = 27 + 5. Then the answer would be x=32 rather than x=22. You need to do the inverse of the original equation to get the correct solution. (AKA: balancing the equation)

I hope this helps :))

5 0
3 years ago
You mow 3 lawns in 5 hours. How long will it take to mow 9 lawns? Explain your thinking​
Korolek [52]
It will take 15 hours to mow 9 lawns
5 0
3 years ago
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 poin
beks73 [17]

Answer:

Third one

Step-by-step explanation:

30x would be 30 times the amount of fish (x)

+ 80y would be 80 times the amount of octopus captured (y)

- 15z would be subtracting 15 times the amount of crabs she captures

6 0
2 years ago
Can someone please help on both questions!! Thank you
mafiozo [28]

Question 7

<h3>Answer: A) 15</h3>

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

<h3>Answer: B) 17</h3>

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

  • angle A = angle E
  • angle B = angle D
  • angle C = angle F

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

7 0
3 years ago
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