To which sets of numbers does-1/4 belong
To which sets of numbers does-1/4 belong - 1

Answers

Answer 1
Answer: Rational and integers
Answer 2
Answer: rational im pretty sure 

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Marcie solved the following inequality, and her work is shown below: −2(x − 5) − 12 ≤ 4 + 6(x + 3) −2x + 10 − 12 ≤ 4 + 6x + 18 −2x − 2 ≤ 6x + 22 −8x ≤ 24 x ≤ −3 What mistake did Marcie make in solving the inequality?

Answers

This is what she did:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)
−2x + 10 − 12 ≤ 4 + 6x + 18
−2x − 2 ≤ 6x + 22
−8x ≤ 24 x ≤ −3

The mistake is in the last step.
she divided by -8 and she didn't chage the sign of inequality.
When you multiply or divide by a negative number the sign of the inequality has to be changed.

The right step would show:
x ≥ -3




write a compound inequality that represents each situations all real numbers that are greater than -8 but less than 8

Answers

Answer:

-8 < r < 8

Step-by-step explanation:

Let r = real number

Greater than  >

r>-8

less than  <

r <8

We want a compound inequality so we combine these

-8 < r < 8

Answer:

-8 < x < 8

Step-by-step explanation:

Your compound inequality will include two inequalities.

These are:

x > -8

x < 8

Put your lowest number first, ensuring that your sign is pointed in the correct direction.

-8 < x

Next, enter your higher number, again making sure that your sign is pointing in the correct direction.

-8 < x < 8

Carl has three lengths of cable. 5/6 yard long, 1/4 yard long, and 2/3 yard long. He needs at least 1 yard of cable. After Carl has used 1 yard of cable, how much cable will he have left? Explain how you found your answer.

Answers

so this wants you to add the fractions and subtract 1/1

we know that 6/8=3/4 because 3/4 times 2/2 (or 1) os 6/8

so we need the denomenators (bottom number) to be the same

so 5/6=10/12
1/4=3/12
2/3=8/12
add them together
10+3+8=21
21/12=1 and 9/12
subtract 1 and get
9/12 left or 3/4 yard left

Andrea went to the store to buy sweater that was on sale for 40% off the original price it was then put on clearance an additional 25% off the sale price she also use a coupon that saved her an additional five dollars and J did not spend more than $7.60 for the sweater what are the possible values for the original price of the sweater?

Answers

Answer:

The original price was $28.

Step-by-step explanation:

Let the original price be = x

There was 40% off on x.

So, sales price was = x-0.40x=0.60x

Tt was then put on clearance an additional 25% off the sale price.

Means the price now becomes: 0.60x-0.25(0.60x)=0.45x

With the help of coupon, she got $5 off and paid no more than $7.60, so the equation becomes:

0.45x-5\leq 7.60

=> 0.45x \leq 7.60+5

=> 0.45x \leq 12.60

=> x\leq 28

Hence, the original price of the sweater was $28.

Please answer the 33 3/4 one i need answer

Answers

33.75
that's the answer I got let me know if you need more help(:

1 gallon minus 1 quart, 1 pint, and 1 ounce

Answers

1 gallon minus 1 quart, 1 pint, and 1 ounce.

The smallest unit is the ounce. We need to know the number of ounces there are in 1 gallon, 1 quart, and 1 pint

1 gallon = 128 ounces
1 quart  =   32 ounces
1 pint    =    16 ounces

128 oz - 32 oz - 16 oz - 1 oz = 79 oz

There are 79 ounces left from the initial 1 gallon.

79 oz * 1gal/128 oz = 79 gal/128 = 0.617 gallon