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:

r = 9.7

Step-by-step explanation:

r-4=5.7

+4 on both sides

r=9.7

:]

R=9.7
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Answers

Answer:

Dilation of 0.5 about the origin

Step-by-step explanation:

Half of -2 is -1, so that equals -3 and half of 0 is 0, just leaving that zero. This process is completed for W and V, getting you your other answers.  

The answer is 1.5 want me to explain

HELLP FOR 20 PTS PLEASEEE

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Answer:

This is only 1 of em but no. 9 has the same angles

9. similar
10. not similar
11. not similar
12. similar

A triangle is 180 degrees, so i subtracted 180 by the angles provided.

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
18 = p + 12; p = $6

Answers

Answer: $6

Step-by-step explanation: 12+6

Answer:

Step-by-step explanation:

it increased by 6 because 18-12=6

the book increaced by 6$

Here are the Other questions!

Answers

Answer:

Umm i'm not sure about these questions, but I think if you asked your teacher for help i'm pretty sure they'll be willing to help you. Or you can look up videos on how to solve these problems.

number 8 is the third option

Help me pleased whoever's right will get brainiest :")
1

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

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

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 i need this answer

Answers

Answer:

It is 2214 base 5

Step-by-step explanation:

2214 its the answer i think

The results of a survey show that 40% of 300 students chose conserving natural resources as the top priority for their generation. How many students chose conserving natural resources. Make a model to find the answer.

Answers

Answer:

120

Step-by-step explanation:

multiply the first number together

4 x3 = 12 plus a 0 because it’s 300

Answer:

The answer is 120

If one book is 2.3 inches wide and another is 1.049 inches wide, how much wider is the first?

Answers

The first book is 1.249 inches wider

Answer: 1.251

Step-by-step explanation:

Can someone pls help?

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Answer:

simplify = 9.61

evaluate = 9.61

Step-by-step explanation:

9.16 for both the words kinda means the same thing

A motorcycle travels 93 miles in 3 hours. What is the unit rate in miles per hour?

15 points

Answers

93/3= 31 mph

hope this helps lol

Answer:

31

Step-by-step explanation:

93/3=31

31mph

help me please :)()()()()(

Answers

b) 29:19 . that is the answer b
The answer is B or 26:19

I need a very described answer please.

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

..........................................................................................................

Answers

Line g: 3/4
Line k: -5/6
Line m: -2
Answer: g =3/4

Answer: k = -5/6

Answer: m = -2

What is the slope of this graph?

Answers

Answer:

y=-3x+2 (this is the answer)

-3/2 or
Y=-3/2
The -3 is the rise and the 2 is the run

please help asap i need help

Answers

Answer:

B

Step-by-step explanation:

If we are working in base five, then in the 1203, there would be 3 in the ones place. 3

In the 5 place, there is 0.

In the 25's place, there is a 2, which means 2*25=50

In the 125's place, there is a 1, 1*125=125.

125+50+3=178

Answer:

B. 178

Step-by-step explanation:

1203 to base 5 equals:

[tex](1 \times {5}^{3} ) + (2 \times {5}^{2} ) + (3 \times 1)[/tex]

[tex]125 + 50 + 3 = 178[/tex]

Enter the sum of numbers as a product of their GCF
25+30

Answers

GCF of 25 and 30 will be 5
The answer is 5 because 25 30 theirs 5 more to get to 30

DP 2.6 Similar Polygons

Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?
41∘
82∘
180∘
164∘

What characteristics are needed to determine that two polygons are similar?



The quadrilateral PQRS in the diagram is a parallelogram. Which of the following statements would be true if P′Q′R′S′ is the image of PQRS after applying a dilation centered at a point O with scale factor 3?
P′Q′=PQ
P′Q′=3PQ
PQ=3P′Q′
Cannot be determined from the information given

Answers

A. Because changing the size of a polygon doesn't change its angles, it would stay at 82°.

B. The characteristics needed to prove they are similar are just their angles.

C. The scale factor is 3, so P'Q'=3PQ.

Emilio has a gift card with $250 on it. He uses the gift card to buy 5 DVD's.

Adam has a gift card with $150 and uses it to purchase 4 DVD's.

If they both now have the same amount left on their gift cards, how much did each DVD cost?

Answers

Answer: Each DVD cost $100

Step-by-step explanation:

So it's a system of equations, where x = DVD price and y = remainder...

250 - 5x = y

150 - 4x = y

Now let's find x by making the y's cancel out.

In order to do this, multiply one equation by -1!

-250 + 5x = -y

150 - 4x = y

Which equals to...

-100 + x = 0

Add 100 to both sides...

x = 100

MEANING that each DVD cost $100. Quite pricey if you ask me!

$100 is the answer i believe

Yall please help , its so difficult

Answers

Answer: 10

Step-by-step explanation:

g= -2

-5(-2)= 10

I Have three more questions after this one so check out my questions on my profile! After all are answered I will open a another question that you open to claim your 2000 points

Answers

Answer:

10.5

Step-by-step explanation:

cross multiply 3/8 and x/28

we get 8x=84

1: 10.5

2: The same shape but not the same size.

3: false

4: 3

5: 2/5

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Answers

Answer:

x/2 • y • 3 ≤ 12

Step-by-step explanation:

Hope this helps!

Btw, if this is correct, could I get Brainliest? Thanks!

Answer:

2x/3 < 12

Step-by-step explanation:

ABC computers sold 30 tablets this week. Their goal is to sell at least 33% more next week. Graph an inequality that represents their goal.

Answers

So 30 + 33% = 39.9 which I’m assuming will round up to 40

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8 units
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Answer:

10 units

Step-by-step explanation:

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Step-by-step explanation:

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

Part A: How much money did Carl budget for car payment each month?

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

Answers

Answer:

$600 for car payment

$200 for food

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

food = 0.05 × 4,000 = 200

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

Step 2 95-100 is 5 which is 5%

Step 3 5% of $4000 which is 5% x 4000 = $200

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Answers

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

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