Which values satisfy the inequality? |x| < 3 Choose all answers that are correct. A. x = –6 B. x = –5 C. x = –1 D. x = 2

Answers

Answer 1
Answer: Lets plug in the answer choices and see which one works

A. x = -6

| -6 | < 3
6 < 3

False, so A is not the answer

B. x = -5

| -5 | < 3
5 < 3

False, so B isn't the answer

C. x = -1

| -1 | < 3
1 < 3

True, so C is the answer.

But lets just check D to make sure C is the answer.

D. x = 2

| 2 | < 3
2 < 3

False, so D isn't the answer either.


C is your answer :)

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A manufacturer buys bolts from a supplier. The bolts cost 0.17 cents each, but the manufacturer made a deal with the supplier and get 4000 bolts for $595.50. To the nearest cent, how much money does the manufacturer save on 4000 bolts with this deal?

Answers

845 cents Because 4,000 x 0.17= 680. 680-595.50= 84.05. 84.05 is 845 cents.
He save exactly 845 cents because 4,000 X 0.17 = 680  680-595.50=84.5 which is equal to 845 cents.

What is 3/8 in simplest form

Answers

The simplest form of 3/8 is 3/8 because the greatest commondivisor of 3 and 8 is 1.

To simplify the fraction 3/8, we need to find the greatest common divisor (GCD) of the numerator (3) and the denominator (8) and then divide both the numerator and denominator by the GCD.

The divisors of 3 are {1, 3}, and the divisors of 8 are {1, 2, 4, 8}.

The GCD of 3 and 8 is 1, as it is the largest number that divides both 3 and 8 without any remainder.

Dividing both 3 and 8 by the GCD (which is 1) doesn't change their values:

(3 ÷ 1) / (8 ÷ 1)

= 3/8

Since the GCD is 1, the fraction 3/8 is already in its simplest form.

Hence, the simplest form of 3/8 is 3/8.

To learn more on Fractions click:

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3/8 is the simplest form. It cannot go any further because 8 divide by 3 equals a decimal. 

HELP NOW PLLLLLZZZZZ!A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? [1 mile = 1.6 km]

A. 0.3

B. 0.8

C. 2.5

D. 3.2

Answers

Answer:

In 0.3 gallon of fuel, the car will travel 20 km.

A is the correct option.

Step-by-step explanation:

We have been given that in 1 gallon of fuel the car can travel 40 miles.

Now, 1 mile = 1.6 km.

Hence, in 1 gallon the car travel 40×1.6 = 64 km

Let the car will consume x gallons of fuel to travel 20 km.

Thus, we have the equation

(1)/(64)=(x)/(20)

ON solving for x

x=(20)/(64)\n\nx=0.3

Therefore, in 0.3 gallon of fuel, the car will travel 20 km.

A is the correct option.

Answer: The car would need 0.3 gallons of fuel to travel 20km.

Step-by-step explanation: 40mile x 1.6km = 64km

                                           1 gallon     1 mile    1 gallon

20km ÷ 64km = 0.3125

A city manager made a scatter plot of number of retail stores in a certain cirty over years. The scatterplot had a trend like with an equation of y=11x+12, where y is the total number of retail stores and X is the number of years since 1990. Mark and his family moved to a city in 1997. How many retail stores were their in 1997

Answers

Answer: There were 89 retail stores in 1997.

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the number of years since 1990(x).

1997-1990 = 7 years

Now, we simply substitute x=7 (years) in the equation given

y=11x+12

y=11(7)+12

y=77+12

y = 89 retail stores

There were 89 retail stores in 1997.

Feel free to ask for more if needed or if you did not understand something.

Simplify: (66, 2/3)/(100)

Answers

66.2/3=22

22/100

is already in simplest form 



when writing a repeating decimal as a fraction, why does the fraction always have only 9s or 9s and 0s as digits in the denominator

Answers

When writing a repeating decimal as a fraction the denominators are not always only 9s or 9s and 0s

The repeating decimal is as a result of the numbers ( i.e. the numerator and denominator values ) and not necessarily because the digits in the denominator are only 9s or 9s and 0s.  as seen in the example below.

Example :  5/6  and 5/3 expressed as a decimal

5/6 = 0.83333333

5/3 = 1.66666---

Hence the repeating decimal as a fraction in number is dependent on the values of the numerator and denominator and not on 9s or 9s and 0s

learn more : brainly.com/question/602727

thats not necessarily true. 0.8333... is just 5/6 as a decimal. I suppose it depends on the number.