Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answers

Answer 1

Given:

The inequality is

[tex]-10+8x<6x-4[/tex]

To find:

The missing step in solving the given inequality.

Solution:

Step 1: The given equation.

[tex]-10+8x<6x-4[/tex]

Step 2: Subtract 8x from both sides.

[tex]-10+8x-8x<6x-4-8x[/tex]

[tex]-10<-2x-4[/tex]

Step 3: Add 4 on both sides.

[tex]-10+4<-2x-4+4[/tex]

[tex]-6<-2x[/tex]

Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.

[tex]\dfrac{-6}{-2}>\dfrac{-2x}{-2}[/tex]

[tex]3>x[/tex]

Therefore, the missing step is [tex]3>x[/tex].


Related Questions

2(x + 1 ) - 3(x + 5) ≥ 0
plss help

Answers

Answer:

Inequality form x less than or equal to -13

Step-by-step explanation

Answer:

x ≤ -13

Step-by-step explanation:

2(x + 1) - 3(x + 5) ≥ 0

Distribute the 2

(2 × x) + (2 × 1)

2x + 2 - 3(x + 5) ≥ 0

Distribute the -3

(-3 × x) + (-3 × 5)

2x + 2 - 3x + (-15) ≥ 0

2x + 2 - 3x - 15 ≥ 0

Combine like terms

2x - 3x + 2 - 15 ≥ 0

-x + (-13) ≥ 0

-x - 13 ≥ 0

   +13    +13

-x ≥ 13

Divide both sides by -1 and flip the sign

x ≤ -13

There is 3/4 of a box of cereal remaining. You eat 2/5 of the remaining cereal. What fraction of the box do you eat? Hint: What mathematical operation does the word “of” mean?
the answer must be a fraction

Answers

Answer:I think it’s 7/20

Step-by-step explanation:

Jamal spends $63.50 on supplies to make some woodworking items. If he sells his items for $7.25 each, how many items does he have to sell to make back his investment and make $50 profit?

Answers

Answer:

16 items

Step-by-step explanation:

He spent $63.50 so he has to earn that back by selling items and also make a $50 profit. So you add $63.50+$50 which is 113.50 and then divide that by $7.25 because that is how much each item he sells costs. Once you do that you get 15.6551 but you can’t sell 15.6551 items so you round up to a whole number which gives you the answer that he has to sell 16 items.

Jamal will have to sell 15.65 items to make back his investment and make profit of $50.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Amount spends by Jamal on woodworking items = $63.50

Also,

Jamal sells each item for $7.25.

Let Jamal sells n items,

To make profit of $50,

Total selling price of woodworking items = 63.50 + 50 = 113.50

To find the number of items, use ratio property,

n x 7.25 = 113.50

n = 113.50/7.25

n = 15.65

Hence, Jamal will sell 15.65 items to make profit of $50.

To know more about Ratio on:

https://brainly.com/question/23724140

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A bricklayer charges $165 to lay 5 pallets of bricks, at the same rate what would he charge to lay 7 pallets?

Plz help

Answers

$231.

165 divided by 5= 33
33 x 7= 231
$231

uhh pls help with my hw thanks

Answers

girl my mind can’t comprehend that goodbye

The point (0, –4) is located . A coordinate plane.

Answers

Answer:

On the x- axis

Step-by-step explanation:

help please i only have 10 mins left
ill give brainliest!!!

Answers

A - 3
B is 33.333%
C is 66.666% are the answers

Clayton climbed down 120 meters. He climbed down in 30-meter intervals. In
how many intervals did Clayton make his climb.

Answers

Answer:

4 intervals.

Step-by-step explanation:

120/30=4

Answer:

40x30=120

Step-by-step explanation:

Which type of symmetry occurs when a line reflects a
figure onto itself?

Answers

reflectional symmetry

which one of these is. linear function

Answers

I think it’s c: y = -4. Lmk if it’s wrong or right
Pretty sure the answer is c

PLEASE SOLVE ITS QUICK
Solve | X +6| = 16

Answers

I haven’t done math in a year but to solve for X I think the answer will be X=10

Answer:

|x| = 10

should be your answer

Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)

Answers

Answer:

I think its 'r= 15/7=0.467'

Step-by-step explanation:


How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: https://brainly.com/question/20005135

Andy spent $46.95 at the grocery store. The cashier gave him $2.97 in change from a $50 bill. How much change should the cashier have given Andy? A) $2.95 B) $3.00 09 $3.05 D $3.15​

Answers

The cashier should have given Andy back $3.05

so the answer is C-$3.05

The cashier should have given Andy back $3.05 if Andy spent $46.95 at the grocery store option (c) $3.05 is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Andy spent $46.95 at the grocery store. The cashier gave him $2.97 in change from a $50 bill.

Let x be the change the cashier should have given Andy.

x + 46.95 = 50

x = 50 - 46.95

x = $3.05

Thus, the cashier should have given Andy back $3.05 if Andy spent $46.95 at the grocery store option (c) $3.05 is correct.

Learn more about the arithmetic operation here:

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which of the following is not a case of direct variation

Answers

Answer:

I can't understand.. can you add pictures also

Given f(x) = 50 + 30x, find x when f(x) = 410
please answer asap!!! by nov 19 12:45pm eastern time

Answers

The answer is 13
because you gotta Replace F(x) with 410 in the Problem

3.14 x 8 = please answer

Answers

Answer:

The answer is 25.12.

Step-by-step explanation:

3.14 * 8 = 25.12

Find an equation for the line below.
Help me please :(

Answers

Answer:

y=3/2x+5/2

Step-by-step explanation:

I used the Y2-Y1/X2-X1

In this equation you can see that there are 2 points (-5,-5) and (1,4)

If you substitute, you will get

4+5/1+5

9/6 and if you simplify this, you will get 3/2

Now that we have the slope, we just have to use y=mx+b

(I'm using the point (1,4))  4=3/2(1)+b

                                         4=3/2+b

                                         5/2=b

What’s the slope of the line ?

Answers

Answer:

y= 2x-2

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Find two lattice points

I chose (-2, 0) and (0, -2)

Since you are using a graph, you don't need an equation.

Starting from (-2, 0), you go down -2 points and 2 across to get to the second point.

-2/2 = -1

Solve the equation and show your work please!
3(2y - 0.3) = 19.4 - y

Answers

Answer:

y=2.9

Step-by-step explanation:

3(2y - 0.3) = 19.4 - y

6y-0.9=19.4

6y+y-0.9=19.4

6y+y=19.4+0.9

7y=19.4+0.9

7y=20.3

7y/7=20.3/7 (divid each one by seven. that's what /7 means)

y=2.9

Round 95.9153055893 to the nearest tenth

Answers

Answer:

100

Step-by-step explanation:


Which number produces an irrational number when added to 0.4?
O A. 0.444...
B. 9
C. 3pi
D. 2/7

Answers

Answer:  C) 3pi

pi is irrational, and so is 3pi

The expression 3pi+0.4 is overall irrational as well.

If x is irrational and y is rational, then x+y is irrational

This is why choice C is the answer.

The other answer choices are rational values which would make the sum rational, so that's why we can rule them out.

Subtract.
Your answer should be a polynomial in standard form.
(-7d^3-5d^3f^3-3f^3) - (8d^3+4d^3f^3+2f^3)

Answers

Answer:−93 3−153−53

Step-by-step explanation:

wrong answer but the answer is on google

josh wants to determine the number of loaves of bread he can bake using the 13 1/3 cups of flour he has

Answers

Answer:

C 4 loaves

Step-by-step explanation:

Please help me with this problem.

Answers

Answer:

Help him with this problem peeps

Step-by-step explanation:

Travis takes out a loan from his bank for $3,500. At the end of the year, Travis will need to pay the loan back to his bank along with a 8.2% interest fee on the money. Determine how much money Travis will need to pay the bank back after one year.

Answers

Answer:

$3,787

Step-by-step explanation:

frist find the amount of intrest

3,500 X 0.082 X 1 = 287

next add the oragial amount to the amount of intrest

3,500 + 287 = 3,787


Don’t know what to do

Answers

Answer:

try and solve it sir

Step-by-step explanation:

Answer:

ask your friends of they are intelligent

Write an expression in standard form for
the area of the rectangle.
4x - 1
+
2x + 5

Answers

Answer:

6x +4

Step-by-step explanation:

add or subtract like terms

Each bowling ball weighs 7.3*10^3 grams. The bowling alley has 2.0*10^2 bowling balls. How much do they all weigh, combined? Express your answer in scientific notation.

Answers

Answer:

1.46 x 10⁶g

Step-by-step explanation:

Given parameters:

Weight of each bowling ball  = 7.3 x 10³g

Number of balls in the bowling alley = 2.0 x 10²bowling balls

Unknown

The weight of the balls in the alley  = ?

Solution:

To find the weight of the balls in the alley, multiply the mass of each balls with the total number of balls;

 Weight of the balls = 7.3 x 10³ x 2.0 x 10²

 Weight of the balls  = (7.3 x 2.0) x 10³⁺²

 Weight of the balls  = 14.6 x 10⁵g

 Therefore, the weight of the balls  = 1.46 x 10⁶g

Erica's Burgers cooks its burgers either well done or medium. Last night the restaurant served 60 burgers in all, 45 of which were well done. What percentage of the burgers were well done?

Answers

Answer:

75

Step-by-step explanation:

75 times 60 divided by 100 is 45 and 45 is the amount that were well done

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