if AT= 4x-7 and CT = -x + 13, solv e for x

Answers

Answer 1
X = 4

If they are equal to one another set them in an equation equal to one another
4x-7 = -x+13

Add x on both sides to get the variables together and add 7 on both sides to get the variables alone
4x+x-7+7 = -x+x + 13 + 7

Simplify
5x = 20

Divide by 5 on both sides
5x/5 = 20/5

Simplify
X = 4

Related Questions

Sam has saved 1400 cents from selling lemonade how many dollars does Sam have

Answers

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.

Answers

*T-shirt=‘’X’’ for solving equations*

1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480

Answer: Carlene need 480 more T-shirts to sell to reach her goal.


Check answer:

1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)

Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?

Answers

Answer:

525 $

Step-by-step explanation:

Amount borrowed = $2500

Rate = 7%

Time = 3 years

therefor interest = $2500 X 7/100 X 3

     Hope it help You

When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME

Answers

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

7/16+3/8

Simplify or answer in regular fractions or improper fractions

Answers

Answer:

hope it helps you

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pls subscribe my channel

Answer:

13/16

Step-by-step explanation:

Turn [tex]\frac{7}{16} +\frac{3}{8}[/tex] into [tex]\frac{7}{16} +\frac{6}{16}[/tex]

If both denominators are the same the number it makes it easier to add.

Since 8*2 is 16 you have to do 3*2 in order for 3/8 and 6/16 to be equivalent.

then add the top numbers, not the bottom bc the bottom stays the same.

7+6=13 so the answer is 13/16

hope that helps:)

Find the value of x.
a) 21
b) 27
c) 31
d) 34

Answers

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

Where would the shape be located after a translation of 5 units to the right?

A. Quadrant 3

B. Quadrant 2

C. Quadrant 1

Answers

Answer:

It the shape would be in quadrant 1

Answer: Quadrant 1 I think

Step-by-step explanation:

72 is the result of x-20%

Help please--the way that I thought of solving this is not what the book says the answer is​

Answers

Answer:

The original cost was $90.

Step-by-step explanation:

"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"

Your equation contains an error that will lead to an incorrect answer.

This is the correct way to write the equation.

We don't know the original price, so we let x = the original price.

The discount was 20% off the original price, so the discount is 20% of x.

20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.

x - 0.2x

She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.

x - 0.2x = 72

Now we solve for x, the original price.

x - 0.2x = 72

Combine like terms on the left side.

0.8x = 72

Divide both sides by 0.8

0.8x/0.8 = 72/0.8

x = 90

Answer: The original cost was $90.

P.S.

You must be careful when writing the equation. What you wrote was

x - 20%

on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing

x - 20% = 72

you are in fact writing

x - 0.2 = 72

meaning that the discount was $0.20

A discount of 20% on $90 is really $18, not $0.20.

There is a big difference there.

If you have any questions, just ask in the comments.

Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend​ make?
What are the solutions of the​ inequality?

Answers

Answer:

instead of x < -4 it should be x > -4

Step-by-step explanation:

7x - 20x < 52

subtract 20x from 7x which is -13x

now the equation is -13x < 52

divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4

hope this helps :)


[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]

Answers

Answer:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

Step-by-step explanation:

Given

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Required

Simplify

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Rationalize:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]

Expand the numerator

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

WHAT IS THE PRUDTUCT OF 7\9 AND 6 A. 1 4/9 B. 3 7\9 C. 4 2\3 D. 7 5\7

Answers

Answer:

C.

Step-by-step explanation:

Find the length of AB

Answers

Answer:

69

Step-by-step explanation:

Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?

Answers

Answer:

40(i think)

Step-by-step explanation:

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

12 feet to 15 inches


------/---------

Answers

Answer:12533

Step-by-step explanation:

cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto? ​

Answers

Answer:

se necesitan aprox 50 galones para llenarlo por completo

NEED HELP ASAPPP please

Answers

Answer:

it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this

Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?

A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb

Answers

Answer:

5

Step-by-step explanation:

20÷4=5


A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000

Answers

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?

Answers

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

Beth bought x pounds of grapes. Mary bought 4/9 less than that

Answers

Answer:

[tex]\frac{5x}{9}[/tex]

Step-by-step explanation:

Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]

15-3x=-6 what is the answer​

Answers

Answer:

x=7

Step-by-step explanation:

Are there any vertical, complimentary, or any supplementary angles here ? And label for ex. 1 supplementary

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di

Answers

Answer:

3456/8 = 432

432 miles per hour

Step-by-step explanation:

WILL GIVE BRAINLIEST

A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Answers

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

Solving
This figure is made up of two rectangular prisms.
12 in.
What is the volume of the figure?
in.
Enter your answer in the box.

2 in.
7 in.
in
21 in.
1
2.
3
4

Answers

Answer:

The question is invalid. Please provide a diagram.

Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

what fraction of 9 is 3​

Answers

Answer:

1/3

Step-by-step explanation:

Take the part over the whole

3/9

We can simplify

Divide the top and bottom by 3

1/3

1/3

Step-by-step explanation:

3/9 is 1/3 because dividing both sides by 3 is 1/3

The population of a city decreases by 4.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Your answer

313866

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt

Answers

Answer:

$35.21

Step-by-step explanation:

100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer: $35.21

Step-by-step explanation: 100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

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