Mathematics Middle School

What is the solution to this inequality?

−4x − 8 > −20
Question 7 options:

x > −3

x < −3

x > 3

x <3

Answers

Answer 1

Answer:

[tex]\boxed{\sf{D. \quad x < 3}}[/tex]

Step-by-step explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

-4x-8>-20

First, add by 8 from both sides.

[tex]\sf{-4x-8+8 > -20+8}[/tex]

Solve.

-20+8=-12

Rewrite the problem down.

[tex]\sf{-4x > -12}[/tex]

Multiply by -1 from both sides.

(-4x)(-1)<(-12)(-1)

Solve.

Multiply the numbers from left to right.

(-12)(-1)=12

4x<12

Divide by 4 from both sides.

4x/4<12/4

Solve.


Divide the numbers from left to right.

12/4=3

x<3

Therefore, the correct answer is D. x<3 (last option).

I hope this helps you! Let me know if my answer is wrong or not.

Answer 2

Answer:

Option D.

Why is this the case, though?

These equations prove it true.

[tex]-4 * 2 - 8 = -16 > -20[/tex]

[tex]-4 * 1 - 8 = -12 > -20[/tex]

The only reason these two equations are correct, is because on the number line it shows: Any negative number further to the right than the last negative number is greater than that number.

Black dot is the main point, Blue dot is solution 1, and Red dot is solution 2

What Is The Solution To This Inequality?4x 8 &gt; 20Question 7 Options:x &gt; 3x &lt; 3x &gt; 3x &lt;3

Related Questions

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is incorrect/correct . Her uncle’s actual age is 24/35/47/51

Please help! Btw the / means or

Answers

Answer:

1) 24 of age

Step-by-step explanation:

Sophia's uncle Reynald is 24 years old

12+(5×3)-4

12+15=27-4=23

But the only closest option to the sum is 24.

The sum to this word problem is 24.

Answer:

Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47

Step-by-step explanation:

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]Hi!~I~am~beinggreat78,~and~I~will~help~you![/tex]

Let's start by breaking down the problem.

This is how it should look. ↓

[tex]60[/tex] ÷ [tex]20[/tex] ⇒ [tex]+ 3[/tex] ⇒ [tex]x * 5^2[/tex]

What does that x mean? x is just a substituted value for the first 2 equations.

Now, we can solve.

[tex]60[/tex] ÷ [tex]20[/tex] [tex]= 3[/tex]

Add 3

[tex]3 + 3 = 6[/tex]

Now, multiply 6 times 5 squared. What does 5 squared mean? 5 squared is just 5 times itself once. You most likely want to solve 5 squared before multiplying.

[tex]5^2~or~5 * 5 = 25[/tex]

And now for the last step, multiply 25 times 6

[tex]25 * 6 = 150[/tex]

With that information, the problem is solved! Your answer is 150

Answer: 78
This is a simple PEMDAS equation.
We will start with 5^2 because there are no parentheses and the second step is exponents. 5^2 is 25.
Now our equation looks like this: 60/20+3x25.
The next step will be multiplication. 3x 25 is 75.
Our equation now look like this: 60/20+75.
The next step is dividing. 60/20 is 3.
The equation now looks like this: 3+75 which is 78.
And that’s your answer.

Ally and Beth are at the grocery store. Ally buys a container of milk for $4 and 4.75 pounds of apples. Beth buys a box of cereal for $3 and 5.55 pounds of apples.

Solve for ‘a’ to determine how much 1 pound of apples costs if both shoppers spent the same amount.

4 + 4.75a = 3 + 5.55a

Answers

4 + 4.75a = 3 + 5.55a
4 - 3 = (5.55 - 4.75)a
1 = 0.8a
a = $1.25 [A.]
Explanation step by step:

Rearrange the term’s 4.75a-5.55a =3-4

Combine like terms-8a=3-4

Divide both side of the equation by the coefficients of variables a=-1/-0.8

Calculate a=5/4

Correct answer a=5/4

Help please!!!!!! :(

Answers

Answer:

Part A: the second choice

Part B: 72 blocks

Step-by-step explanation:

The prism has 3 layers and 24 blocks per layer. The base of each layer of the second choice has a width of 8 and length of 3.

8*3=24.

Multiply the 24 blocks on each layer with the 3 layers and we get 72 blocks in total.

We can check this by multiplying the dimensions of the prism together. 3*3*8=72 and this verifies that we are correct.

Answer:

Part A is the second choice & part B is 72

What is the solution to this inequality?

Answers

Answer:

Hi! I solved your question, just check the images.

Step-by-step explanation:

See image above.

Answer the following about 693/9 estimating.

Answers

Answer:

For (a), the answer is 720/9 because that is a closer estimate of 693/9 than 630/9. For (b), its a overestimate because 720/9 is greater than 693/9.

Find the perimeter and area of the shaded figure below.

Answers

perimiter 10
area 6
Perimeter - 10 units
Area - 6

Explanation: Perimeter: 2 + 3 + 2 + 3 = 10
Area: 2*3 = 6

WILL GIVE BRAINLIEST AND ALSO 5 STARS + 100 POINTS. ANSWER QUICK AND CORRECTLY WITH NO LINKS

Answers

Answer:

x = -40

Step-by-step explanation:

Rewrite "(x - 4)/4" in a different way:

⇒ 8 + x/2 = (x - 4)/4 - 1

⇒ 8 + x/2 = x/4 - 4/4 - 1

Simplify the R.H.S:

⇒ 8 + x/2 = x/4 - 1 - 1

⇒ 8 + x/2 = x/4 - 2

Add 2 both sides and subtract x/2 both sides:

⇒ 8 + x/2 = x/4 - 2

⇒ 8 + 2 = x/4 - x/2

⇒ 10 = x/4 - 2x/4

Simplify the R.H.S:

⇒ 10 = x/4 - 2x/4

⇒ 10 = -x/4

Use cross multiplication:

⇒ 10 × 4 = -x

⇒ -(40) = x = -40

Answer:

xx=-40xAnswer

Step-by-step explanation:

The ratio x : 8 is equivalent to the ratio 8 : [tex]x^{2}[/tex]. What is the value of x?

Answers

x=4

4:8 is equivalent to 8:16 because both can be looked at as 1:2
x/8=8/x^2
64=x^3
x is 4

Assignment

1. The mark up price of a pair of shoes which costs $125.00 is 8.35%. a)What is the final price? If the tax is 6 1/2% How much will be paid for that pair of shoes?

2. A TV set costs $175. How much will the store get if the commission of the sales person is 12 1/2% ?

3. The bag that costs $86.50 was discounted $15.50. How much was paid for the bag? What was the discount rate?

4. The dress that Rhea bought costs $75.00. It was taxed $12.75. How much did she pay? How much was the tax rate?

Answers

Answer:

Look at photo

Step-by-step explanation:

Look at photo

Nikita performed an experiment in which she randomly pulled a marble from a bag, recorded its color, placed it back in the bag, and then repeated. The results are shown in the following table.

Result Frequency
Red 20
Purple 24
Blue 12

Based on the experiment, what is the probability of drawing a blue marble?

Answers

i believe the answer is 3/14
not quite sure but thats my guess:)

Help me please I do not understand.

Answers

Answer:

there is given length and time

Boomerang 15.3 ft/s
Greased Lightning 25.74 ft/s
space mountain 26.25 ft/s
Rajun Cajun 15.3 ft/s
flight of Icarus 15.3 ft/s

To calculate the rate, the formula is s= d/t where s = speed, d= distance in feet, t= time in seconds. The roller coasters that has a proportional relationship are boomerang, rajun cajun, and flight of Icarus as they all have the same rate.

please solve this for me I need help!

Answers

Answer:

24

Step-by-step explanation:

15+ 9=24

3x5=15

1/2(6x3)=9

I’m going to say it 24.
Because the triangle if you do the formula it is 9. Then 5•3 gets you 15 add those two together 15+9 should give you 24.

Write the expression 53.7124 x 10^{3} as a single number

Answers

Answer:

53712.4

Explanation:

[tex]\sf\rightarrow 53.7124\:x\:10^3[/tex]

10³ = 1000

[tex]\sf\rightarrow 53.7124\:x\:1000[/tex]

[tex]\sf\rightarrow 53712.4[/tex]

Answer:

53712.4

Step-by-step explanation:

To represent this expression as a number, we need to simplify the expression to obtain a specific number (solution). The first step would be to simplify the exponent in the expression.

Simplifying the exponent:

⇒ 53.7124 x 10^{3}

⇒ 53.7124 x 10 x 10 x 10

Note: Each 10 will shift the decimal 1 place to the right.

⇒ 537.124 x 10 x 10

⇒ 5371.24 x 10

⇒ 53712.4

Solve f(x)=2, if f(x)=1/2x-3

Answers

Answer:

10

Step-by-step explanation:

Solve f(x)=2, if f(x)=1/2x-3

Both equations are set to equal f(x) so the solution would be the two equations set to equal each other

2 = 1/2x - 3

==> add 3 to both sides

5 = 1/2x

==> multiply both sides by 2

10 = x

Answer:

x = 10

given:

f(x) = 2

======

[tex]\sf \rightarrow \dfrac{1}{2} x- 3= 2[/tex]

change side

[tex]\sf \rightarrow \dfrac{1}{2} x= 2+3[/tex]

simplify the following

[tex]\sf \rightarrow \dfrac{1}{2} x= 5[/tex]

change side

[tex]\sf \rightarrow x= 5*2[/tex]

final outcome

[tex]\sf \rightarrow x= 10[/tex]

Needs help with 8th grade maths.

Answers

D :because if you go down then you are parallel them you go over and it is the same thing
Answer is D.
I chose this answer because Figure R must go down, not up (obviously) and rotation of 180 degrees would make it upside down so reflecting it across a vertical line would give Figure Q

6. Find Each missing measure in the following problem

Answers

M/7:180-(21+131)=28
M/6:90-32=58
M/1=90
M/2=180-(90+32)=58
M/3=180-(21+58)=101
M/4=180-131=49
M/5=360-101-49-58=152

For the data set summarized in the boxplot, identify the interquartile range (IQR). A) 22 B) 32 C) 57 D) 75

Answers

Answer:

IQR = 22

Step-by-step explanation:

The interquartile range, or the IQR, is quartile 3 - quartile 1. The box in the middle contains quartile 1, median, and quartile 3. The median is the line inside the box, quartile 1 is the line to the left of the median, and quartile 3 is the line to the right of the median. In this case, the IQR is 70 - 48.

IQR = 22

I hope this helps and please mark me as brainliest!

The interquartile range of the data set summarized by the box plot is 22.

What is the interquartile range?

On the box in a box plot, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile. The third line on the box represents the upper (third) quartile.

Interquartile range = Q3 - Q1

70 - 48 = 22

To learn more about box plots, please check: https://brainly.com/question/27215146

Please help me!!! Due tonight thank you, you will make my day so much!!!

Answers

Answer:

The area increases by 25.68 [tex]cm^2[/tex]

Step-by-step explanation:

The surface area of a cuboid is 2lw + 2wh + 2lh, where l = length, w = width, and h = height. The current surface area is 2*18*3.4 + 2*3.4*30 + 2*18*30, which is 1406.4. If the height is increased by 0.6 cm, the surface area will be 2*18*3.4+2*3.4*30.6+2*18*30.6, which is 1432.08. The difference is surface area is 25.68 [tex]cm^2[/tex]

Answer:

The area increases by 25.68

Step-by-step explanation:

I NEED HELP CUZ I BAD

Answers

Answer:

Given:

∠1 = 63 - 2x°∠2 = 72 - 3x°

And if we look at the diagram, we can see that angles 1 and 2 are corresponding, and corresponding angles are congruent(meaning they measure the same degrees).

So all we need to do now, is set up the equation to angle 1 being equal to angle 2.

(63 - 2x) ← [angle 1] = (72 - 3x) ← [angle 2]

Solve;

63 - 2x = 72 - 3x

+2x            +2x

63 = 72 - 1x

-63     -63

9 - 1x = 0

+1x      +1x

9 = x, the value of 'x' measures 9°.

The Articles of Confederation were ________.

A. a set of rules for governing the nation
B. able to unite the colonies
C. responsible for bringing peace to the new colonies
D. written to give Congress full power to pass and enforce laws

Answers

Answer:

The Articles of Confederation were A. a set of rules for governing the nation.

Whoever answers correctly can have brainliest
but answer asap

Answers

Answer:

3 1/3

Step-by-step explanation:

Make the fractions into improper fractions:

2 1/2 = 5/2

1 1/3 = 4/3

5/2 × 4/3 =

5×4/2×3 =

20/6 =

10/3 =

3 1/3

CAN SOMEOME HELP ,E?

Answers

Answer:

B

Step-by-step explanation:

Setting up long division we get:

B. If you need any help tell me

!!please help, the correct answer gets brainiest!!

Sarah is building a garage on her property. She wants the garage to be 10 feet by 9 feet.
Note: Model the area of the garage using a coordinate plane.
What is the total area of the garage?

Please explain how you got your answer legibly!!

Answers

In order to find area, you use L(length)•W(width). Since her garage is 10x9, the equation would be 10•9, which makes the total area of the garage 90ft^2

Helppppppppppppppppppppp

Answers

Flora starts with ten, then spends 60 dollars, leaving her with 50 dollars in debt. She then refunds 30 dollars leaving her with 20 dollars in debt.
10-20= -10 then she spends $40 which makes her be $50 in debt and lastly she gets back $30 leaving her still in $20 in debt.

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

[tex]beinggreat78~is~here~to~help.[/tex]

The answer is 19 - 4, because of PEMDAS.

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Any expression wrapped in parentheses always comes first. Whether the sky is pink or blue, parentheses still come first.

PENDAS - (Parentheses, exponents, multiply, divide, add subtract)

its 19-4

Two more questions(Please help i need this done by today)

Answers

Answer:

for question 19 the answer is 6,12

Step-by-step explanation:

and then I'm sure of the last one

pls mark brainlest!!

BRAINLIEST

Complete the missing number problem.

N = 32 ÷ (5 - 1)
N = 32 ÷ _

N = _

Answers

n=32÷4

n=8

N=8 because you subtract the 5 from 1 and get 4 then you divide 32 and 4 and you get 8

Isabella makes $15.35 an hour at her company. Skyler, who works at the same company, earns $18.35 an hour. His hourly wage increases by $0.25 each year. How many years ago did Skyler start working at this company if his starting pay was the same as what Isabella makes now? Show your work or explain your reasoning.

Answers

Answer-the answer is 3 years

Step-by-step explanation:So what I did is subtract skylers wage by isabellas wage(18.35-15.35=3)and I go 3 so he has been working 3 years at this job

12 years, if you subtract the wages you’ll get a 3 dollar difference. Then you divide 3 by 0.25 to get 12

What can we say about -E?

Answers

A is the answer I had that question before I understand how dreadful it is

Answer:

-E=A

Step-by-step explanation:

e is 4 segments away from zero in a positive direction. assuming that each segment has a value of one you are at 4 and the point a is at -4 wich is the negative version of 4 therefor option A is correct

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