10( x + 1) = 2 x-7
Solve For x

Answers

Answer 1
Use distributive property
10x + 10 = 2x - 7
Add 7 to both sides
10x + 17 = 2x
Subtract 10x
17 = -8x, solution: x = -17/8
Answer 2

Answer:

x = -17/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(x + 1) = 2x - 7

Step 2: Solve for x

Distribute 10:                                10x + 10 = 2x - 7Subtract 2x on both sides:          8x + 10 = -7Subtract 10 on both sides:           8x = -17Divide 8 on both sides:                x = -17/8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    10(-17/8 + 1) = 2(-17/8) - 7Multiply:                               10(-17/8 + 1) = -17/4 - 7Add:                                     10(-9/8) = -17/4 - 7Multiply:                               -45/4 = -17/4 - 7Subtract:                              -45/4 = -45/4

Here we see that -45/4 does indeed equal -45/4.

∴ x = -17/8 is the solution to the equation.


Related Questions

Jana continues training for a triathlon that includes a 112-mile bike ride. Today, she rode her bike 12 miles in 60 minutes. Then she ran for 15 miles in 2 hours. What is Jana’s running rate in miles per hour?

Answers

Answer:

16 miles

Step-by-step explanation:

Calculate the average rate of change for the given function, from x = −3 to x = 7.

Answers

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

Average rate = -5

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

Average rate = -5

15. Express 2/5 as a percentage​

Answers

Answer:

[tex]40\%[/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \times 100 = 40\%[/tex]

Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.

2/5 = 0.4

0.4x100 = 40

2/5 = 40%

What is the value of point a on the number line?

I need help ASAP

Answers

Answer:

The answer is 7/6

helppp i need help yall

Answers

Answer: The answe is D

Step-by-step explanation: A and B is wrong and C was the same as D but it is wrong becuase the slope has to be neagtive

D is the answer I think sorry if wrong

Millie has 2 apples, If millie picks 158 more, How many apples does millie have in all.

Answers

Answer:

160 APPLES

Step-by-step explanation: I WISH U ALL THE BEST IN EVERY OF YOURS

PLS MARK AS BRAINLIEST.

Answer:

160 apples

Step-by-step explanation:

For a left-tailed test, the critical value of z so that a hypothesis test would __________ the null hypothesis at 5% significance level would be __________

Answers

Answer:

A) Reject

B) [tex]-Z_0_._0_5=-1.64485363[/tex]

Step-by-step explanation:

From the question above

Significance level =5%=0.05

a)Generally the first dash is Reject to aid the alternative hypothesis without which the is no need to test

b)Generally we solve mathematically for a critical value

critical value [tex]= -Z_\alpha[/tex]

From normal table

[tex]-Z_0_._0_5=-1.64485363[/tex]

Answer:

1.65

Step-by-step explanation:

gang gang

(a) Complete the table of values for the graph x + y = 6

Please help ❤️ complete the table leave the graph bit as I know how to do it

Answers

Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

The steps Thomas used to solve an equation are shown.
Given: 10-2(x-1)=8
Step 1: 8(x-1)=8
Step 2: x-1=1
Step 3: x=2

Answers

Answer:

There is an error in step 2

Step-by-step explanation:

you have to multiply -2 with x and -1 first and not subtract -2 from 10 first.

Answer:

there is an error in step 2

Step-by-step explanation:

10-2(x+1)=8

8(x-1)=8

8x-8=8

   +8  +8

8x= 16

/8   /8

x=2

Help plssssssssssssssssss

Answers

Answer:

It would be C.

Step-by-step explanation:

This is because they allow it to be 50 dollars and less, making it C.

11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6

Answers

Yh I think the missing number will be 6 because they are equivalent to 1:2

Answer:

c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu

need the answer please thank you!

Answers

Answer:

Step-by-step explanation:

Givens

a1 = -70

d = -10

an = - 100

Formula

an = a1 + (n - 1)*d

Solution

-100 = -70 + (n - 1)*-10               Remove the brackets.

-100 = - 70 + -10n + 10              Combine

-100 = -60 - 10n                        Add 60 to both sides

-100+60 = -60+60 - 10n           Combine

-40 = - 10n                                 Divide by - 10

-40/-10 = n

n = 4

PLEASE HELP !!
ILL GIVE BRAINLIEST
MATH PROBLEM!!
Find scale factor

Answers

Answer:

I think the scale factor is 2.5

Step-by-step explanation:

because 20 divided by 8 is 2.5

can anyone help me with math

Answers

Answer:

B

Step-by-step explanation:

Hope this helps plus happy new year!

C. What temperature is halfway between 3 degrees and -11degrees? And what is the mid point between -6 degrees and -10? And what is the midpoint between -60 degrees and 8 degrees?

Answers

Answer:

-4 is in between 3 and -11 is

-8 is in between -6 and -10

-26 is in between -60 and 8

#4 . Simplify the expression 2(x − 8) + 2(12). *

Answers

Answer:

x = -4

Step-by-step explanation:

2x-16+24 = 2x+8

2x = -8

x = -4

Hey there!

2(x - 8) + 2(12)

DISTRIBUTE 2 WITHIN PARENTHESES

= 2(x) + 2(-8) + 2(12)

= 2x - 16 + 24

COMBINE the LIKE TERMS

= 2x + (-16 + 24)

= 2x + 8


Therefore, your answer is: 2x + 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

37.
A bag contains 7 raspberry candies, 13 caramel candies, and 5
coffee candies. You are going to reach into the bag and pull out
some candies without looking. What is the least number of
candies that you must pull out to be sure that you have
removed at least three coffee candies?
if August 3rd wos four days after one

Answers

Answer:

15

Step-by-step explanation:

There are total cadies in the bag:

7 + 13 + 5 = 25

Probability of pulling a coffee candy is:

5/25 = 1/5

So each 5th candy should be coffee candy

Then you need to pull at least:

5*3 = 15 candies

Note:

To ensure 3 coffee candies you would need to pull 25 - 2 = 23 candies

George is given two circles, circle O and circle X, as shown. If he wants to
prove that the two circles are similar, what would be the correct second step
in his proof?
Given: The radius of circle O is r, and the radius of circle Xis t.
Prove: Circle Ois similar to circle X.
1.c - 2sr and C'- 2rr' by the definition of circumference.
2.
3. d= 2rand d = 2 by the definition of diameter.
4. d 2r and d ;by the division property of equality.
5.2 and by the substitution property.
d'-2r
6. Circle Ois similar to circle Xbecause all the linear dimensions are in the
same proportion.
(

Answers

Answer:

B the division one

Step-by-step explanation:

The solution is, : B.) The correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

We want to find the correct second step for the given proof.

Recall that from division property of equality, when we have;

a=b and c=d, dividing the equations by each other, the equation will still be equal;

a/c = b/ d

For the given Prove;

statement 1 states that the circumference circle 1 and 2 can be expressed as;

C = 2πr and, C' = 2πr'  

So, for step 2;

Applying the division property of equality, we have;

C/C' = 2πr/2πr'

which then equals,

C/C' = r/r'

Therefore, the correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

To learn more on division click:

brainly.com/question/21416852

#SPJ7

Noah earned $232.70 at his job for 13 hours . How much money did he earned each hour

Answers

Answer: $20.82 per hour

Step-by-step explanation:

Answer:

$17.90 per hour

Step-by-step explanation:

Take $ 232.70 and divide it by 13 hours. Noah earned $17.90 every hour he worked.

At the neighborhood grocery, 55 pounds of steak cost \$20.60$20.60. How much would it cost to buy 44 pounds of steak?

Answers

Answer:

$16.48

Step-by-step explanation:

Create a proportion where x is the cost of 44 pounds of steak:

[tex]\frac{55}{20.60}[/tex] = [tex]\frac{44}{x}[/tex]

Cross multiply and solve for x:

55x = 906.4

x = 16.48

So, the cost of 44 pounds of steak is $16.48

· The list price of an article is 25% above the selling price and the cost
price is 40% below the list price. Find the rate of discount and profit?

Answers

Answer:

p=25%

discount=25%

Step-by-step explanation:

Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x

Cost Price = .75x

S P = C+P

Profit = Selling price - Cost price

= x - 0.75x

=0.25x

the Profit is 25 %

Discount is 25 %

What is the answer for number 8 and 9 do not worry about 10

Answers

Answer:

8. 2

9. C

Hope this helps :)

Please help me I need to turn in tomorrow

Answers

Answer:

D. 0.5

Step-by-step explanation:

There are 4 groups

1. Alto

2. Bass

3. Tenor

4. Soprano

The question says "what is the probability that this member comes from the alto section"

Since there are 4 groups, I did 4/8 (since there are 8 people in Alto) and I got 0.5.

Hope I got it right and it helped you

*Note* I most likely got it right I just doubt myself too much lol

But just in case, I hope I got it right.

Answer:

there are 4 parts in that choir and the alto members are 8 in number so we say those in alto divided by the number of parts, we get→ 4÷8 =0.5, that's the ans.

what is 33.7 divided by 9.5 equals ?

Answers

Answer:The answer is 3.5273684211

Step-by-step explanation:

I your round it up then it would be 3.5

Answer:

33.7/9.5 = 3.547368421...

Which is the best estimate for 19% of 205?


A- 40
B- 50
C- 100
D- 400

Answers

A. 40 is the correct answer

The best estimate for expression of 19% of 205 is 40.

Option A is the correct answer.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.

In this case, we want to find 19% of 205.

To do this, we first convert 19% to a decimal by dividing it by 100:

19 ÷ 100 = 0.19

This tells us that 19% is equivalent to 0.19 as a decimal.

Next, we multiply the decimal by the given number, which in this case is 205:

205 x 0.19 = 38.95

Therefore,

The best estimate for 19% of 205 is 40.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

The difference of five times a number and 6 totals 29

Answers

Step-by-step explanation:

Let x represent the number.

We have 5x - 6 = 29 or 6 - 5x = 29.

=> 5x = 35 or 5x = -23

=> x = 7 or x = -4.6.

The number can be 7 or -4.6.

We have 5x - 6 = 29 or 6 - 5x = 29.

=> 5x = 35 or 5x = -23

=> x = 7 or x = -4.6.

The number can be 7 or -4.6.

A bag contains colored tiles.

* 7 tiles are red

* 6 tiles are green

* 7 tiles are blue

A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

Answer:

0.35

Step-by-step explanation:

Help please!!!!!!!!!!!!!!!!

Answers

All you would have to do is substitute!
Answer:

First one will be 2
Second one will be 10
Third one will be undefined

Explanation:
So for the first one you are substituting x for -3 so then the equation would look like this: -3^2+9/-3^2, this will equal to 9+9/9 which your answer would be 2 since 18/9 is 2. For the second one it will look like this -1^2+9/-1^2 which would be 1+9/1, this would equal to 10. For the last one it will look like this 0^2+9/0^2 which would just be 0+9/0 9/0 would be undefined.

Mark casts a shadow that is 4 feet long . At the same time , a nearby tree casts shadow that is 20 feet long . If Mark is 6 feet tall , how tall is the tree?

Answers

If Mark is 6 feet tall and his shadow is 4 feet long 6-4 = 2 so there is a 2 foot difference so the tree would be 18 feet tall

For the equation, x-7=24, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence?

Answers

we add 7 to both sides, making x=31. we can substitute 31 and make the true number sentence.
only 31 can be substituted, as it is only one x value, holding only one true value, which we found out is 31.
hope this helped!! xx

Answer:

1 variable or 31

Step-by-step explanation:

7+24=31 giving you the only variable

Other Questions
6.(02.06 MC)Which of the following correctly describes the Anti-Federalist position on including the Bill of Rights?It would protect states from possible abuses of government.It could be added later after the Constitution itself was approved by the states.It wasn't necessary because the Constitution strictly limited government power.It would give the Constitution more support from European allies. What type of number is v64?Choose all answers that apply:A)Whole numberB) Integerc Rational d) irrational Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams? PLEASE ANSWER IT'S A BIG THING PLEASE HELP ME-Study the following ocean currents map.Which statement is most likely correct about the average temperatures in San Francisco, California as compared to Norfolk, Virginia?(A) It is higher in Norfolk because of the cool ocean currents from the north.(B) It is higher in Norfolk because of the warm ocean currents from the south.(C) It is lower in San Francisco because of the cool ocean currents from the south.(D) It is lower in San Francisco because of the warm ocean currents from the north. Complete the flow proof Calculate the pressure in pascals if a 200N force is applied to an area of 0.5m2. HELP PLSS Solve the equation 17(3x+5)=3x6 A bag contains 36 marbles either red or green in color. The ratio of red marbles to green marbles is 3 to 1. How many green marbles are there? 7 divided by 276 is what? I am terrible at division Ltd say we're given the quadratic equation x + 2x2 - 4 = -7x + 6Enter your answers separated by a comma An ice sculpture is melting because of heat. Assuming its height changes by negative 2 over 25 m every hour, what will be the change in the height after 5 hours? negative 2 over 5 meter negative 2 over 125 meter 2 over 125 meter 2 over 5 meter Which event in Stantons life inspired her to seek equality with boys?her brother graduating from collegeher father wishing that she were a boyher becoming interested in horsesher showing a talent for learning What was gained by the U.S government in prohibiting slavery in the treaties with the native American tribes?A) Native Americans could hire settlers to do their manual labor.B) Native Americans would be forced to practice white culture.C) Washington, if admitted as a state, could avoid involvement in the Civil war.D) Washington, if admitted as a state, would be a free state. Find the perimeter of the figure High-angle grain boundaries exhibit a higher grain boundary energy than low-angle grain boundaries. Group of answer choices True False You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period.Time (weeks)012345678Weight (lb)150144143141140137137132129If you lost 13 pounds in the first five weeks, what is the average rate of change of weight with respect to time over the first five weeks of the program?a.+0.38 pounds per weekb.-0.38 pounds per weekc.+2.6 pounds per weekd.-2.6 pounds per week explain how to find 45% of a number A-multiply the number by 0.45. B-Divide the number by 4.5. C-Divide the number by 45. D-multiply the number by 4.5. Indicate the opposite Absolute Superlative.(notice genderl singular or plural & watch spelling)5. Delgadisimas =6. Bellisimas =7. Pobrisima =8. Bajisima =Plz answer will mark as brainlest What is the surface area of the cube below?4 m4 m4 m12 square meters64 square meters80 square meters96 square meters Cameron invests $1000. He has a choice of two schemes:Scheme A offers $25 every year.Scheme B offers 2% interest compounded annually. Over what periods of investment (in whole years) is scheme A better than scheme B? Steam Workshop Downloader