Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answers

Answer 1

Answer:

Step-by-step explanation:

Distribute –4 to get –8x + 4 > 5 – 3x.

Answer 2

We can actually deduce here that the correct first step in solving the inequality –4(2x – 1) > 5 – 3x is: A. Distribute –4 to get –8x + 4 > 5 – 3x.

What is inequality?

An inequality refers to the relationship that exist between two expressions that shows that they are not equal to each other. The signs used in an inequality are:

≠ ‘not equal to’, > ‘greater than’, < ‘less than’, etc.

We see here that the first step is to use -4 to multiply the digits in the bracket. If that happens, we will have: –8x + 4 > 5 – 3x.

Then solving the inequality:

-8x + 3x > 5 - 4

-5x > 1

x < -1/5

Thus, we see that option B: Distribute –4 to get –8x + 4 > 5 – 3x. is the correct answer.

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Related Questions

if 50% of 160 is 80, what is 75% of 160?​

Answers

Answer: 120

Step-by-step explanation:

Math

Which ratio is equivalent to the ratio 18:24

Answers

Hahah shahs hahah hshshshhshs

Answer:

8 : 24 36 : 48 54 : 72 72 : 96 90 : 120

108 : 144    126 : 168      144 : 192   162 : 216 180 : 240

Step-by-step explanation:

MAth

The minute hand of a clock is 1.4 centimeters long. How far does the tip of the minute hand travel in 40 minutes? (Round your answer to two decimal places.)

Answers

Answer:

2.93cm

Step-by-step explanation:

I have to admit, this stumped me but I got o work and here's what I have for you. Hope this helps. TIP: remember it is the minute hand not any other hand.

For this one you will have to find the circumference of the clock because as the min hand goes round and round, it will act as a radius and it will go in a circular motion.  

Formula will be π2r= 3.l4 * 2 * 1.4cm=8.792cm per every one revolution of the minute hand. Remembering that for the minute hand to revolve round the clock it has to cover 1 hr = 60min. For you to get the total circumference,

you'll have to take 8.792cm but since it is  per every one revolution of the minute hand, multiply it by 40/60min. The answer will be 2.93066cm before rounding off. After rounding off you will have 2.93cm. Quite lengthy but I assure you after practicing you'll have at your fingertips.  

Translate this phrase into an algebraic expression. 63 decreased by twice Carlos's height Use the variable c to represent Carlos's height.​

Answers

Answer:

63-2c

Step-by-step explanation:

You write 63 and substitute decreased with a subtraction sign. Twice means to multiple by 2. so for twice of Carlo's height you would write 2c.

I hope this helps!!!!!

Find all the real solutions of x3 + x² – 17x + 15 = 0,

Answers

Answer:

x=−5 and x=3

Step-by-step explanation:

Stacy was sitting in a seat at a football game when another ticket holder told her she was in the wrong seat. The other ticket holder politely told Stacy she needed to go 2 rows up and 4 seats to the left. Which rule describes the translation needed to put Stacy in the correct seat?
1. (x, y)--->(x – 4, y + 2)
2. (x, y)--->(x – 2, y + 4)
3. (x, y)--->(x + 4, y – 2)
4. (x, y)--->(x + 2, y – 4)

Answers

Answer:

1

Step-by-step explanation:

So it has to be positive 2 because its going up not down and its going left making it negative 4 and up is the y value and left is the x value

7(-5)(4) PLZ I NEED HELP WITH THIS ONE

Answers

Ok, so for this problem, all you need to do is multiply 7 by -5, then multiply that answer by 4.

7 x -5 = -35

-35 x 4 =  -140

In 1989, Carl Lewis established a world record when he ran the 100. meter dash in 9.92 seconds. What was his average speed (in m/s) for the race?

Answers

Answer:

he went 10.08ms speed I just did the math

4.5a - 2.6a =
helpp me

Answers

Answer:

1.9a

Step-by-step explanation:

Please Help!!!! Find two consecutive odd numbers whose product is 47 more than their sum.

Answers

7 and 9

7 x 9 = 63

7+9=16

63-16 = 47

Louise bought a frame and canvas online for $125. Then she bought all the supplies shown in the table and paid a 7% sales tax on the supplies
only.
Item
Cost ($)
Brushes
12.50
Paint
19.50
She took the amount that she spent on the canvas, frame, and supplies, and marked up the price by 115%. How much did she charge for her
painting? Round to the nearest cent.

Answers

9514 1404 393

Answer:

  $342.37

Step-by-step explanation:

When a quantity is marked up by x%, its marked-up price is (1 +x/100) times its original price. Tax is effectively a markup.

Louise's costs are ...

  $125 + (12.50 +19.50)(1.07) = $159.24

Louise priced her painting at ...

  $159.24·(1 +1.15) = $342.37

Graph the inequality on the number line. x≥−3 1/2

Answers

Answer:

I've done this before my friend...

The value of the inequality equation is x ≥ - 3 1/2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

Now , the value of A is

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

The value of x ≥ - 3 1/2

On simplifying the equation , we get

The value of x ≥ -7/2

Now , converting the number into decimal form , we get

The value of x ≥ -3.5

So , the number x satisfies for all the values that are above -3.5

Therefore , the value of x is greater than all the numbers greater than -3.5

And the graph for x ≥ -3.5 is given below

Hence , The value of the inequality equation is x ≥ - 3 1/2

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solve the inequality -3/10x -7 < 1/2

Answers

Step-by-step explanation:

-3/10x=1/2+7

=15/2

x=15/2×10/-3=-25

-25<1/2

Difference between they both was

1/2-(-25)

1/2+(25)

=51/2

=25.5

Write an equation to represent the situation: The bank, b, is 50 feet shorter than the fire house, f. PLEASEE I WILL GIVE BRAINLESTTTT I NEED THIS TODAYY

Answers

Answer:

F-50=B

also chill

P/6=2 is for the next problem

Identify the slope and y-intercept of the function y=-2x+ 1.
A. The slope is 1.
The y-intercept is (0,2).
B. The slope is 1.
The y-intercept is (0, -2).
C. The slope is 2.
The y-intercept is (0,1).
D. The slope is -2.
The y-intercept is (0,1).

Answers

Answer:

The slope is -2 and the y-intercept is 1

ANSWER = D!

Step-by-step explanation:

Please mark brainliest it is appreciated!

The bakers at Healthy Bakery can make 350 bagels in 5 hours. How many bagels can they bake in 20 hours? What was that rate per hour? SHOW WORK, ITS RATIOS!!

Answers

Step-by-step explanation:

It is given that,

The bakers at Healthy Bakery can make 350 bagels in 5 hours.

We need to find how many bagels can they bake in 20 hours.

In 5 hour = 350 bagel

In 1 hour = 70 bagel

To find no of bagel in 20 hours, multiply 20 by 70 as follows :

In 20 hours = 70×20

= 1400 bagels

So, 1400 bagels can they bake in 20 hours. Also, the rate per hour is 70 bagel/hour.

find two numbers whose sum is 27 and product is 365​

Answers

x^2 + (x-27)^2=365

(hopefully that was the answer you were looking for)

Answer:

There are no real number solutions to this.

Step-by-step explanation:

x + y = 27

xy = 365

y = 365/x

x + 365/x = 27

x^2 + 365 = 27x

x^2 - 27x + 365 = 0

x = [27 +/- sqrt(27^2 - 4 * 1 * 365)] / 2

x = (27 +/- sqrt (-731)/2

- No real roots.

Find the greatest common factor of 20c^2 and 12w

Answers

Answer:

60c

Step-by-step explanation:

12x6

10x6

hope i helped bud! ;)

A recipe calls for 1/3 of a cup of milks for 10 cookies How many cups of milk are needed to make 120 cookies​

Answers

Answer:

You are gonna need 4 cups of milk.

Step-by-step explanation:

1/3 for 10 cookies so x 3= 1 cup for 30 cookies. 1 cup and 30 cookies x 4 = 4 cups and 120 cookies

julie is enlarging a digital photograph on her computer. the original photograph is 5 inches by 7 inches. if she enlarges the dimension by 1.5 times, what will be the perimeter and area of the new image

Answers

Answer:

52.5

Step-by-step explanation:

so sorry if im wrong hope this helps

Answer:

Perimeter:  36 inches

Area: 78.75 inches

Step-by-step explanation:

1. Multiply 5 and 7 by 1.5. The new dimensions are 7.5 inches by 10.5 inches.

2. Do 7.5 x 10.5 to find the area.

3. Do (7.5 x 2) + (10.5 x 2) to find the perimeter.

What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)

Answers

What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)
Answer: 67
The answer to you question is 67

Which one is correct? Please hurry <3

Answers

Answer:

1500

Step-by-step explanation:

I did the math and got it right

1500 I got this by multiplying 15,000 x 0.02 x 5.

Hellllllllp please!!!!!!!!!!!

Answers

Answer:

ok, tell me what you need, I will be glad to help!!

Step-by-step explanation:

The second H-shaped polygon is a scaled copy of the first. The height of the original H is 5 units. The width is 10. The center bar is 4 across. The height of the copy is about 1.25 units. The width is about 2.5. The center bar is 1 across. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. Consider using colored pencils to highlight corresponding parts or labeling some of the vertices. What scale factor takes the original polygon to its smaller copy? Explain or show your reasoning.

Answers

Answer:

a. See attachment 2

b. Scale factor is 1/4

Step-by-step explanation:

See attachment 1 for complete question

Given

Original

[tex]Height = 5[/tex]

[tex]Width = 10[/tex]

[tex]Center = 4[/tex]

Scaled Copy

[tex]Height = 1.25[/tex]

[tex]Width = 2.5[/tex]

[tex]Center = 1[/tex]

Solving (a): Corresponding Points & Sides

The corresponding points of the original copy to the scaled copy can be gotten by writing out the measurements as : (x,y)

Where x represents the original and y represents the scaled copy

Taking the height as a point

We have:

[tex]Height: (5,1.25)[/tex]

This will be represented as a dot or point.

A dot at the tip of the line representing height in the original and scaled copy can be colored green

And the width and center as sides

We have:

[tex]Width: (10,2.5)[/tex]

[tex]Center = (4,1)[/tex]

These will be represented by lines

For width:

Two lines representing width in the original and scaled copy respectively can be colored yellow

For center:

Two lines representing center in the original and scaled copy respectively can be colored red

See attachment

Solving (b): The scale factor

To solve for the scale factor, we simply divide the measurement of the scaled copy by the original copy

Recall that:

[tex]Height: (5,1.25)[/tex]  ,  [tex]Width: (10,2.5)[/tex]   and   [tex]Center = (4,1)[/tex]

Using Height:

[tex]Scale\ Factor = \frac{1.25}{5}[/tex]

This gives:

[tex]Scale\ Factor = \frac{1}{4}[/tex]

For width:

[tex]Scale\ Factor = \frac{2.5}{10}[/tex]

This gives:

[tex]Scale\ Factor = \frac{1}{4}[/tex]

For the center:

[tex]Scale\ Factor = \frac{1}{4}[/tex]

Hence, the scale factor is 1/4

Can someone help me with this one??
Write the obese equation in slope intercept form
Slope= 1; y intercept = -4

Answers

Answer:

y = x - 4

Step-by-step explanation:

In y = ax + b form, a is the slope and b is the y intercept so a = 1 and b = -4, thus y = x - 4

So, this is pretty simple. First, we need to know that slope intercept form is y=mx+b, m equals slope and b equals y intercept. Thus, the equation will be y=1x-4. When you have a positive number as your y intercept then it would have a + after mx but, since we have a negative number here it will have a - after mx.

I hope this helped! Have a great day and reach out to me if you need any more help!

If the figures below are similar, give the scale
factor of Figure A to Figure

Answers

Answer:

A to B is a scale of 1.2

Step-by-step explanation:

Answer:

The answer is 1.2

The total bill of a meal at a restaurant is 25x-115. Five friends agree to split the cost of the meal equally. What could you do to find the amount that each person must pay? Explain. ​

Answers

Answer:

Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.

i took the test.

Answer:

Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.

Step-by-step explanation:

I took the test, I got 100%

Identify the domain and range of the relation. –5, –2, 1, 4 ,5, 10, 11

Answers

domain is -5 -2 1 5
range is 10 11 4 10

List three ordered pairs that represent solutions to the equation 2x - y = 3.

Answers

Answer:

(0,-3)

(1.-1)

(2,1)

Step-by-step explanation:

those are the only possible solutions to the equation.  Choose any value for  

x  that is in the domain to plug into the equation.

I need the answer for this question cuz I dint know how tii oh do it

Answers

Answer:

blue

Step-by-step explanation:

because there are more

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