Solve for x. Show each step and explain.
4.5(8-x)+36=102-2.5(3x+24)

Answers

Answer 1

Answer: x= -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

You can do it from here


Related Questions

Write each phrase or sentence as an algebraic expression or equation
6 more than y
3 times a number
5 less than the product of 10 and c
14 more than 6 times t
The sum of x and y is 18
A number minus 12 is y

Answers

6 more than y :    

                      y + 6

3 times a number:

x ← a number    

                           3x

5 less than the product of 10 and c :

10c   ← the product of 10 and c

                                         10c - 5

14 more than 6 times t :

6t  ← six times t

                        6t + 14

The sum of x and y is 18:

x+y    ← the sum of x and y

                                  x + y = 18

A number minus 12 is y:

x - a number

                   x - 12 = y              

How many cups of red paint should be added to 1 cup of white paint?​

Answers

Answer:

3/7 or .43

Step-by-step explanation:

1 goes in to 7, 7 times so all you have to do is 3/7

On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15 per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute. Which plan should you choose if you want only 200 minutes per month? Why? Justify your answer.

Answers

Answer:

The EZ Pay Plan because it would cost less than the 40 to Go Plan.

Step-by-step explanation:

You will have to calculate the amount that you would pay with each monthly plan if you have 200 minutes per month.

-EZ Pay Plan:

$0.15*200=$30

-40 to Go Plan:

$40+($0.05*200)=$40+$10=$50

According to this, the answer is that if you only want 200 minutes per month, you should choose the EZ Pay Plan because it would cost $30 which is less than the 40 to Go Plan that would cost $50.

Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.

Answers

Answer:

Step-by-step explanation:

Let the consecutive even integers be 2n and 2n+2.

lesser integer = 2n

Greater integer = 2n+2

If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;

2(less integer) = 2(greater integer) - 4

Substituting the given integers;

2(2n) = 2(2n+2)-4

2(2n) = 2[(2n+2)-2]

2n = 2n+2-2

2n = 2n

2 = 2

This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.

0.000028 what is the scientific method

Answers

Answer:

2.8 x 10^-5

Step-by-step explanation:

A line contains the points (−26, −37) and (−32, −61).

What is the slope of the line in simplified form?

Answers

Answer:

The slope of the line is 4

Step-by-step explanation:

You use the equation Y2 - Y1/ X2 -X1 to find the slope.

-61-(-37)/-32 - (-26)

-24/-6

4

Answer:

The answer is 4

help plz it’s due in five minutes

Answers

My answer - 44/7 or 6 2/7
I think its 1232x2 (2x+2y)2 I think

Please help ill give brainlist

Answers

Answer:

The answer is c

The answer is most likely C!!

*PLEASE HURRY* WILL GIVE BRAINLIEST* Write the equation in the form ax^2 + bx+c=0 where a > 0, if necessary. Then identify the values of a, b, and c. Do not actually solve the equation
3x^2 = 4x + 8

Answers

Answer:

a= 3

b=-4

c=-8

Step-by-step explanation:

3x²=4x+8

since the 4X is positive it will cross the equal sign and become negative and the same goes for 8,and this will leave nothing on the right of the equal sign therefore it will become 0

3x²-4x- 8= 0

the above equation is now in the form required

ax²+bx+c=0

so substitute the values according and u will see that a= 3

b=-4 and c=-8

hope this helps

A rectangle has perimeter 68 cm and length 25 cm. What is its​ width? In centimeters.

Answers

Answer: 9cm

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

To find it you must multiply the length by 2

25 × 2 = 50

Then subtract the result with the perimeter

68-50 = 18

And the result of that is your answer

Find the distance between the points -6.2 and -9.8. Show your work for full credit.

Answers

Answer:

-2

Step-by-step explanation:

Which graph shows the solution to the system of linear

Answers

Where are the graphs at...?

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?

dilation
reflection
rotation
translation

Answers

Answer:

dilation is the answer

ANSWER PLEAZE I MARK AS BRAINLIST ❗️❗️❗️❗️

Answers

Answer:

I have to say d,e,and b

Step-by-step explanation:

Hope this helps!!

Answer:

I'm think it would be c?

Step-by-step explanation: Im not really sure cause I'm lazy to do the math but... try this. so like for every 2a you have 3s so then for 4 a you would have 6s. The a and s stand for addition and subtraction

√116 rounded to the nearest tenth?

Answers

Answer:

10.8

hope this helps

Answer:

[tex]\boxed {10.8}[/tex]

Step-by-step explanation:

The equation:

[tex]\sqrt{116}[/tex]

Simplify:

[tex]\sqrt{116}[/tex]

[tex]2\sqrt{29} \approx 10.77[/tex]

-Round the approximation to the nearest tenth:

[tex]\boxed {10.8}[/tex]

5(3x+8)=175
with steps pls ​

Answers

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(3x+8)=175

(5)(3x)+(5)(8)=175(Distribute)

15x+40=175

Step 2: Subtract 40 from both sides.

15x+40−40=175−40

15x=135

Step 3: Divide both sides by 15.

15x/15=135/15

x=9

Please HELP! I’ll give BRAINLIEST :)

An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.

Answers

Answer:

Point, Line, and Plane

Step-by-step explanation:

The three undefined terms that form the basis for the subject are a point, a line, and a plane. A point is basically like a dot, which most people should know. A line is a straight one dimensional figure that extends to infinity in both directions. A plane a flat 2 dimension figure, that extends to infinity in all directions. You can think of a plane as infinite lines put next to each other.

You can visualize a point, a line, and a plane in a coordinate grid. A point on the coordinate grid is any point, from (0, 0), the origin, to (2039, pi). A line on the coordinate grid is linear. It can be of any equation from y=x to y=238490/239x + 123. You can think of a plane as the entire coordinate grid.

Point,line,plane i just had this same question

Use the vertical line test to determine whether or not the graph is a graph of a function. plz help

Answers

Answer:

pretty sure both are yes

SCUBA diving set

Slope:


SCUBA diving set

y-intercept:


SCUBA diving set

Slope intercept form:

Answers

Answer:

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

If a = 6 and b = 12 What is side c of a right triangle using the pythagorean
theorm?

Answers

Answer:

36 root 5 I believe

Step-by-step explanation:

Answer:

36 square root 5

Step-by-step explanation:

I need help! Please!!!

Answers

Answer:

with what

Step-by-step explanation:

Answer:

Yes I would be truly  willing to help u so what do u need help with

Step-by-step explanation:

Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?​

Answers

Answer:

60 baskets per hour

Step-by-step explanation:

given that every 2.5 hours, the machine produces 150 baskets

Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)

2.5 hours -------> machine produces 150 baskets

1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets

hence the unit rate  of production is 60 baskets per hour

Answer:

60 baskets per hour

Step-by-step explanation:

given that every 2.5 hours, the machine produces 150 baskets

Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)

2.5 hours -------> machine produces 150 baskets

1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets

hence the unit rate  of production is 60 baskets per hour

Calculate the slope of a line that passes through the points (-4,7) and (-1,3)

Answers

Answer:

The answer is

[tex] - \frac{4}{3} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

[tex]m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\ [/tex]

We have the final answer as

[tex] - \frac{4}{3} \\ [/tex]

Hope this helps you

PART 2
same for the other one last 3 question

Answers

Answer:

  1 of 8: (729, 81, 9, 1)

  2 of 8: 1 = (-1)^0 = 2^0

  3 of 8: 1

Step-by-step explanation:

The basic rule is that any non-zero value to the zero power is 1. It doesn't matter whether the value is positive or negative. Raising it to the zero power makes it 1.

So, for question 2 of 8, the two equivalent expressions can be anything raised to the zero power (or anything with a value of 1, for that matter).

__

In the order of the attachments, ...

3) 5^0 = 1

2) (-5.7)^0 = 1

  two other expressions could be (-1)^0 and 2^0.

1) Each row of the table is the previous row divided by 9. Top-down, the missing table values are 729, 81, 9, 1. (Note that 9^0 = 1.)

Solve the inequality.
|2x - 6| + 7 <15

Answers

Answer:

Inequality Form: -1 < x < 7

Interval Notation: (-1, 7)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Which is one method to help avoid cross-contamination?

Buy prepared food

Keeping peanuts away from other foods

Ensuring cold food is stored at 41°F

Store chicken over lettuce

Answers

keeping peanuts away from other foods???

The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.

How is this number expressed in standard form?

Answers

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A standard form is a form of writing an equation, number, or an expression in a form using certain rules.

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

What’s 3•-30+15

And the dot is multiplication!

Answers

Answer:

-75

Step-by-step explanation:

3(-30)=-90

-90+15 is -75

Brainliest to the first CORRECT answer, Thanks

Answers

Answer:

28 inches

Step-by-step explanation:

P = 2 (a + b) = 2 · (6 + 8) = 28

Plz help I’ll give branliest!!

Answers

k=2, because the bottom of the parabola shifted to the x value 2 from 0.

hope that helps

Answer:

2 is the correct option

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