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

Related Questions

hi need help with this

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

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

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Solve for x show work for brainly

Answers

Answer: x = 18

Step-by-step explanation:

90 + 64 + ( x + 8 ) +180

x + 8 = 26       x = 18

18 add all then divide

help asap i need this answer

Answers

Answer:

It is 2214 base 5

Step-by-step explanation:

2214 its the answer i think

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:

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

Can someone pls help?

Answers

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

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

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

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

help me please icxdis

Answers

The answer is QR and CD

Determine the length of the line segment shown.


6 units
8 units
10 units
36 units

Answers

8 units is the answer

Answer:

10 units

Step-by-step explanation:

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

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

Answers

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

Yall please help , its so difficult

Answers

Answer: 10

Step-by-step explanation:

g= -2

-5(-2)= 10

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
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

the two images below are my question...

Answers

Answer:

r = 9.7

Step-by-step explanation:

r-4=5.7

+4 on both sides

r=9.7

:]

R=9.7
R-4=5.7
+4 on both sides
R=9.7

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

help very much needed

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:

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

HELLP FOR 20 PTS PLEASEEE

Answers

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.

can someone help :"(((((((((((((

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

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.

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

Hope this helped also lmk if you want me to explain it.

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

With what I don’t see your question

Answer:

YEA

Step-by-step explanation:

e

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]

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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