What is the solution to the inequality -4(5/2+3/2x)>8?

A. x > -1/2
B. x < 1/3
C. x < -3
D. x > 3

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given

- 4([tex]\frac{5}{2}[/tex] + [tex]\frac{3}{2}[/tex] x) >  8 ← distribute parenthesis on left side

- 10 - 6x >  8 ( add 10 to both sides )

- 6x >  18

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity

x < - 3 → C


Related Questions

Maten forgot some of her 12 facts. She wants to find 6x12 , but all she can remember is 5x12=60 . How could she use the fact 5x12=60 to find 6x12? Explain

Answers

Answer:

5 times 12 = 12 times 5

Step-by-step explanation:

You flipped the factors since they were the same. 5 times 12 = 60 when you flip the factors 12 times 5 = 60

PLEASE HELP!
Which function is represented by the graph?

Answers

Answer:

Step-by-step explanation:

b

Answer:b

Step-by-step explanation:

a movie theater charges $10.50 per ticket and $5 per bucket le popcorn. you never buy the popcorn because you think it's too expensive​

Answers

Answer:

any other info pls tell me

Step-by-step explanation:

Answer:the answer is yes

Step-by-step explanation:

Matti built a greenhouse in his backyard as shown below.

How much cubic space is in Matti's greenhouse?

A. 191.1 ft 3
B. 367.5 ft
C. 382.2 ft3
D. 735.0 ft

Answers

Answer:

B) 367.5 ft

Step-by-step explanation:

BECAUSE ITS NOT A

Answer:

the answer is b

Step-by-step explanation:

don't mind this question, there's gonna be another one thats actually relevent

Answers

Answer:

oke

Step-by-step explanation:

Which of the following is the correct solution to the linear inequality showin
V<1/2x-4

Answers

Answer:

Image attached.

Step-by-step explanation:

The given inequality is [tex]y<\frac{1}{2}x-4[/tex].

Let us make a table for [tex]y=\frac{1}{2}x-4[/tex]

x  0   2

y  -4  -3

Then we draw the dotted line and shade below it because of the "<" sign.

Learn more: https://brainly.com/question/1594198

Write an equation for the line shown

Answers

the equation is Y=3x+0

A coin is tossed two times, then a month of the year is randomly selected. What is the probability of getting tails each time, and a month that starts with the letter J? I got 1/8 is that correct if not what’s the answer

Answers

Answer:

1/16

Step-by-step explanation:

1/2 getting tails

1/4 getting tails twice

3/12 getting a J month =1/4

1/4 x 1/4 =1/16

Answer:

1/16

Step-by-step explanation:

Given a fair coin, the probability of getting tails on any one toss =

P(tails) = 1/2

if a coin is tossed twice and  we get tails both times,

P( 2 tails on 2 consecutive tosses) = (1/2)(1/2) = 1/4

Total number of months = 12 months

Months that start with J = January, June, July = 3 months

P(selecting months that start with J) = 3/12 = 1/4

Hence the probability of tossing 2 consecutive tails then selecting a month that starts with J

= (1/4) x (1/4)

= 1/16

List the following numbers in order from least to greatest.
4.2 x 10-2, 0.088, 8.9 x 10-3, 0.01

Answers

Answer:

0.01 , 0.088 , 4.2 x 10-2 , 8.9 x 10-3

Step-by-step explanation:

4.2 x (10.2).

4.2 x 8

=33.6

8.9 x (10-3)

8.9 x 7

=62.3

0.01 , 0.088 , 4.2 x 10-2 , 8.9 x 10-3

A circle with area 36 π has a central angle of 11/6 π radians

Answers

Answer:

33pi or 103.62 square units

Step-by-step explanation:

central \: angle \: ( \theta)  \\ =  \frac{11}{6}  {\pi}^{c}  = \frac{11}{6} \times 180 \degree = 330 \degree  \\  \\ area \: of \: sector  \\ =  \frac{ \theta}{360 \degree}  \times area \: of \: circle \\  \\  = \frac{ 330 \degree}{360 \degree}  \times 36 \: \pi \\  \\  = \frac{ 330 }{10 } \pi \\  \\  =  \red{ \bold{33\pi}} \:  {units}^{2}  \\  = 33 \times 3.14 \\  = 103.62 \: {units}^{2}  \\

What is the distance between the points (-3,-5) and (3, 3)?
A. 14
B. 2
C. 10
D. -2

Answers

Answer:

-2

Step-by-step explanation:

                             

Answer: IT IS NOT -2 IT IS 10

Step-by-step explanation:

Is the following number rational or irrational 0.5555?

Answers

Answer:

Simple.

The decimal 0.5555 is a rational number. It's a terminating decimal, since it doesn't end with an ellipsis.

Answer these questions about the steps of simplifying this rational expression: 4x-8/x^2+3x-10 Part A What is the greatest common factor (GCF) of the terms in the numerator and in the denominator? Rewrite the expression by factoring out the GCF.

Answers

Answer:

GCF: (x - 2)

4 / (x + 5)

Step-by-step explanation:

The expression given is:

(4x - 8) / (x² + 3x - 10)

To find the greatest common factor, we have to factorise the numerator and denominator individually.

NUMERATOR:

4x - 8 = 4(x - 2)

DENOMINATOR:

x² + 3x - 10 = x² + 5x - 2x - 10

x² + 3x - 10 = x(x + 5) - 2(x + 5)

x² + 3x - 10 = (x - 2) ( x + 5)

So, the expression becomes:

4(x - 2) / [(x - 2) ( x + 5)]

We observe that the common factor in both numerator ad denominator is (x - 2).

This is the greatest common factor (GCF).

Factoring out (x - 2), the expression can be rewritten as:

4 / (x + 5)

Answer:

The terms in the denominator have a GCF of 1, so nothing gets pulled out in the denominator. The GCF of the terms in the numerator is 4.

Step-by-step explanation:

6x^2=726
[tex]6x^2 = 726[/tex]

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 6

[tex]6x^2 / 6 = 726 / 6[/tex]

[tex]x^2 = 121[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{121}[/tex]

[tex]x = 11[/tex]

Answer:  [tex]x=11[/tex]

Answer:

[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]

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

Answers

Answer:

[tex]125.9 ft^2[/tex]

Step-by-step explanation:

Missing question:

An artist is making a rectangular canvas for a custom painting. the canvas has a width of 9 1/2 feet and a length of 13 1/4 feet . what is the area of canvas in square feet?

The area of a rectangle is given by the formula

[tex]A=L\cdot w[/tex] (1)

where

A is the area

L is the length

w is the width

In this problem, we have a rectangular canvas, so we want to find its area.

We know that:

[tex]w=9\frac{1}{2}ft[/tex] is the width, converting into an improper fraction,

[tex]w=\frac{9\cdot 2+1}{2}=\frac{19}{2}[/tex] ft

[tex]L=13\frac{1}{4}ft[/tex] is the length, converting into improper fraction,

[tex]L=\frac{13\cdot 4+1}{4}=\frac{53}{4}[/tex] ft

Substituting into eq (1), we can find the area of the canvas:

[tex]A=\frac{19}{2}\cdot \frac{53}{4}=\frac{1007}{8}=125.9 ft^2[/tex]

Consider the geometric sequence 4,20, 100, 500, 2500, 12500, 62500, 312500. Give the values of g1, r, n.

Answers

The formula for geometric sequence is (g1) times ((r)^n)). g1 = 4. R is the rate = 5. N is the power. In this case N = 0, 1, 2, 3, 4, 5, 6, and 7.

If the volume of the pyramid shown is 360 inches cubed, what is its height?
A rectangular pyramid with base of 12 inches by 10 inches and a height of h.

1 in.
3 in.
6 in.
9 in.

Answers

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is

Here we have volume (V), base (L), and width (W)

V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction:  3V = L×W×H

Then we need to divide both sides by (L×W) to get:

Now we can plug in the given values:

The height is 9 inches

Answer:

9

Step-by-step explanation:

edge

help me plzzzzzzzzzz im begging youuuuu

Answers

Answer:

If the poster is enlarged by the scale factor 5/2 then,

length=12×5/2=30ft

And,

breadth=3×5/2=7ft

>>>>correct ans is 7.5 by 30

Answer:

7.5 feet by 30 feet

Step-by-step explanation:

i believe you would take 12 and divide it by 2 and then multiply it by 5=30. And then do the same for 3. 3 divided by 2 =1.5 and 1.5 multiplied by 5 =7.5

The answer would be 7.5 feet by 30 feet

Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 15?


−2/3

1/3

3/2

3

Answers

Answer:

3/2

Step-by-step explanation:

If you want to get the coefficient of x to be 1, you multiply by the reciprocal of the coefficient. The reciprocal is 3/2, so you multiple by 3/2

A rectangle has a perimeter of (20x+12y). If one side of the rectangle is (3x-4y), write the expression for the other side

Answers

Answer:

(7x + 10y)

Step-by-step explanation:

To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.

(3x - 4y) + (3x - 4y) = 6x - 8y

Subtract this from (20x + 12y)

(20x + 12y) - (6x - 8y) = 14x + 20y     Divide this by two to get the length of one side

14x + 20y / 2 = 7x + 10y

If this answer is correct, please make me Brainliest!

The expression for the other side of the rectangle, when one side is (3x-4y) and the perimeter is (20x+12y), is (7x + 10y).

To determine the expression for the other side of the rectangle with a perimeter of (20x+12y) and one side being (3x-4y), we must remember that the perimeter of a rectangle is calculated by adding together twice the length and twice the width (P = 2l + 2w). Since we have one length, we can solve for the width by dividing the perimeter by 2 and subtracting the length.

First, let's find half of the perimeter by dividing the given perimeter by 2:

(20x + 12y) / 2 = 10x + 6y

This represents the sum of one length and one width. We then subtract the given side (one length) from this to find the other side (one width):

(10x + 6y) - (3x - 4y) = 10x + 6y - 3x + 4y = 7x + 10y.

Select the correct answer.

Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar saved

what was left of his earnings after paying all of his monthly expenses. At the end of the year, he had saved $3,360. What were Cesar's average

monthly expenses, rounded to the nearest dollar?

A

$1,288

B. $1,680

C. $2,403

D. $2,511

E. $2,791

Answers

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses. This means that your answer is: D. $2,511.

Answer:

D. $2,511

Step-by-step explanation:

$23 x 28 x 52 = $33,488

$33,488 ÷ 12 = $2,790.66 = $2,791

12($2,791) - $3,360 = 30,132

$30,132 ÷ 12 = [$2,511]

Rounded to the nearest whole number, what is the approximate population density of Michigan, according to the table shown below.

Answers

Answer:

~102 per square mile.

Step-by-step explanation:

9883640 divided by 96,716 is 102.19 so rounding down to 102.

Simplify 9 to the 2nd over 9 to the 7th. (4 points)
Group of answer choices

95

1 over 9 to the 9th

1 over 9 to the negative 5th

1 over 9 to the 5th

Answers

1 over 9 to the 5th. The math is attached below

Answer:

[tex]\frac{1}{9^{5} }[/tex]

Step-by-step explanation:

[tex]\frac{9^{2} }{9^{7} } \to 9^{2-7} \to 9^{-5} \to \frac{1}{9^{5} }[/tex]

Helper's Message:

Hi! I hope this helped you :)

I wouldn't mind a Brainliest or a five-star rating!

-ChocoChocoCho

I need help with this please. I don’t understand how to do this

Answers

Answer:

i can help!

Step-by-step explanation:

all you have to do is first add all the # after you should be left with 2 # multiply them together and there you have your answer!

What is the value of the expression when a = 4, b = 3 ,and c = 10?
3a4b−c
1
4
6
12

Answers

Step-by-step explanation:

hope it will help you....

Complete the following table with the properties used to solve 4(x + 3) =20
Statements Proof:
4(x + 3) = 20:
4x + 12 = 20:
4x = 8:
x =2:

Answers

Answer:

distributive property, subtraction, division

Step-by-step explanation:

i don't know the exact name of the last two but that's what i'm assuming they're called lol

Final answer:

The properties used to solve the equation 4(x + 3) = 20 are the distributive property, subtraction property of equality, and division property of equality. First, the distributive property is used to expand the left-hand side, then subtraction is used to isolate 4x. Finally, division is used to find x = 2.

Explanation:

The question provides an algebraic equation and uses properties to solve for the variable 'x'. The steps taken demonstrate the following properties:

Distributive property: The equation starts as 4(x + 3) = 20. Through the distributive property (a*(b + c) = a*b + a*c), this is expanded to 4x + 12 = 20.Subtraction property of equality: Next, 12 is subtracted on both the sides giving 4x = 8. This property states that we can subtract the same value from both sides of the equation and it will still hold true.Division property of equality: Finally, the equation is divided by 4 on both sides, which results in x = 2. This property tells us that if we divide both sides of the equation by the same non-zero number, the equation will still be equal.

Learn more about Algebraic Properties here:

https://brainly.com/question/32858114

#SPJ3

What does it mean when we write √100 = 10 in terms of squares and side lengths? Explain. *

Answers

Step-by-step explanation:

[tex]\sqrt{100}=10[/tex]  because [tex]10^{2}=100[/tex]. 10 is the square root of 100, which means that 10 multiplied by itself (10×10=[tex]10^2[/tex]) is equal to 100. So, when you are trying to find the square root of a number, the square root is itself multiplied by itself.

It means 100 squared would equal to 10.
For example 16squared=4 because 4 x 4 = 16
Hope this helped :)

How would you classify number 125?
A perfect square
B perfect cube
C both a perfect cube and a perfect square
D neither a perfect square nor a perfect cube

Answers

Answer:B (perfect cube)

Step-by-step explanation: 125 is the cube of 5

At a raffle, 250 tickets are sold at $1 each for 3 prizes of $100, $50, and $10. You buy 1 ticket. What is the expected value of your gain? Should you play this game? 1. Explain HOW to determine the expected value. (one paragraph) 2. Interpret the meaning of the expected value for this scenario. (one paragraph)

Answers

Answer:

enervsorry it glitched, but the expected value would be 50  

Step-by-step explanation:

How do you think inequalities are different from equations you have worked with before?

Answers

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.

Hope this helps, and have a nice day

Step-by-step explanation:

Good luck! :)

Answer:yes they are different

Step-by-step explanation:

1. An equation is an equality of two mathematical expressions. That's why it has an equal(=) sign . For example:

12x=10x +2x

Or

3x+4y=5

2. While an inequation is an inequality of two expressions and here the greater than and lower than signs are used with equal sign i.e. >,< or=

For example

4y+5a > 5

Or

8a< 7b

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