Mathematics Middle School

Determine which integers in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false.

S:{16, 32}
S:{−8, 16}
S:{−32, −8}
S:{−32, 32}

Answers

Answer 1

Credit to swapnalimalwadeVT

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The integer that can make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen

This can be written as,

(1/4)(m - 4) ≤ (1/8)(m - 16)

The number that will make the inequality true.

S = {−32, −8, 16, 32}

We will check each value.

m = -32

1/4 x -36 ≤ 1/8 x -48

-9 ≤ -4

Not true

m= -8

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

True

m = 16

1/4 x 12 ≤ 1/8 x 0

3 ≤ 0

Not true

m = 32

1/4 x 28 ≤ 1/8 x 16

7 ≤ 2

Not true

Thus,

The integer that can make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

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Step-by-step explanation:

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Answer:

4x-18 = x/2 + 6

Step-by-step explanation:

so on the lhs we have 18 less than 4 times a number which u can write as 4x-18. On the rhs we have 6 more than half of x which will give you x/2 + 6.

hope it helps

Answer:4x-18 = x/2 + 6

Carl’s monthly income is $4,000. The circle graph below shows Carl’s monthly budget.

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Part B: How much money did Carl budget for food each month?

Answers

Answer:

$600 for car payment

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Step-by-step explanation:

all you need to do is change the percent to a decimal 15% = 0.15 5% = 0.05

then multiply that decimal with the amount of money in this case, $4,000 so...

car payment = 0.15 × 4000 = 600

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Answer:

Part A: Carl spent $600 for car payment each month.

Part B: Carl spent $200 for food payment each month.

Step-by-step explanation:

Part A: 15% of $4000 which is 15% x 4000 = $600

Part B: Step 1 50+20+15+10=95

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Step-by-step explanation:

90 + 64 + ( x + 8 ) +180

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Answers

Answer: D. 140

Step-by-step explanation:

Goal: Find x and solve the equation

1) Since they are parallel angles, you can move QXY up to SQR.

Note: I don't really know how to explain this... Hope this is enough.

2) Set up the equation and solve

4x+40+2x-10 = 180

6x+30=180

6x = 150

x = 25

3) Solve the PQS equation

4x+40

4(25)+40 (Substitute x here.)

100+40

140

The answer would be D.one hundred and 40

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Answers

Answer:

10.5

Step-by-step explanation:

cross multiply 3/8 and x/28

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1: 10.5

2: The same shape but not the same size.

3: false

4: 3

5: 2/5

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If one book is 1.6 inches wide and another is 1.471 inches wide, how much wider is the first?

A: 1.29 inches
B: 0.129
C: 3.071
D: 0.307

Answers

Answer:

B. 0.129

Step-by-step explanation:

If one book is 1.6 inches wide and another is 1.471 inches wide, how much wider is the first?

A: 1.29 inches

B: 0.129

C: 3.071

D: 0.307

1.6 - 1.471 = 0.129

Answer: B

Step-by-step explanation:

HELP ASAP MY MOM MAD
Liz wanted to buy a new book. When she checked the price last week, it was $12. This week, the same book was listed for $18. Write and solve an equation to show how much the book increased in price.

18 = p − 12; p = $30
2p = 18; p = $9
12 + p = 30; p = $18
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Answers

Answer: $6

Step-by-step explanation: 12+6

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Dilation of 0.5 about the origin

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Answer:

B

Step-by-step explanation:

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Answer:

B. 178

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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