a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations​

Answers

Answer 1

4,-2

distribute and combine like terms

Answer 2

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)


Related Questions

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Answers

Step-by-step explanation:

X = 10 (use pyth)

Y = 11.18(use pyth)

Dans mother bought a car for 15,000 five years ago. She wants to sell it to Dan based on 12% annual rate of depreciation. At this rate, how much will Dan pay for the car?

Answers

Step-by-step explanation:

= P [ 1-R/100 ] T

= 15000 [ 1-12/100] ⁵

= 15000 [100-12/100]⁵

= 15000 [0.88]⁵

= 15000 × 0.52773

= 7915.95..

i hope it's correct....

Denise earns $4,500 per month plus 4% commission on her sales. One month she had sales of $50,000. What were her total earnings? • a. $50,000 • b. $2,000 • c. $6,500

Answers

Answer:

$6500

Step-by-step explanation:

Given data

Monthly Earnings= $4500

Commission= 4%

Sales= $50000

Let us find the amount of the commission

=4/100*50000

=0.04*50000

= $2000

Since the monthly earning is $4500, hence the total earning is

=2000+4500

=$6500

Find the area of the given shape

Answers

Answer:

Step-by-step explanation:

15 * 9=135

135 + 37.5 = 172.5

please help me get the answer i’ll give you a thanks and 10 points pls

Answers

586 cm squared i believe

Answer:

678.4 cm^2

Step-by-step explanation:

total surface area of prism is equal to ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Firstly, we calculate the perimeter of the base. This is equal to 10 + 14 + 10 + 14, or 48.

Secondly, we must calculate the height of the prism, which is shown as 8.3.

Lastly, we must calculate the area of the base, which is 10 * 14, or 140.

We can now substitute these values into the formula, ph + 2B to find the total surface area of the prism:

ph + 2B,

(48)(8.3) + 2(140),

398.4 + 280,

678.4

This means that the total surface area of this prism is 678.4 cm^2

The perimeter of a rectangular room is 24 meters.The width of the room is 4 meters. Find the length of the room.

Answers

Answer:

20 metes

Step-by-step explanation:

:)

ILL GIVE BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

True or false

If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.
Will give brainly

Answers

False it will be the reciprocal

Answer:

False

Step-by-step explanation:

if you are comparing two figures that are similar the scale factor will flip because you are altering the shape from the first shape

The surface area of a triangular prism is 18: square inches. What is the surface area of a similar solid that has been enlarged by a scale factor of 2.52?

Answers

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

What property is being used: 5 + x = x + 5 *

Answers

Answer:

The answer is The Commutative property

This means the Commutative property states that you can add or multiply regardless of how the numbers are grouped.

Answer:
Commutative property

Why? A+B=B+A (that’s the commutative property

Please help will mark brainliest

Answers

I think it’s A. If not, then B.

The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?

Answers

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons

Can someone please tell me the formula volume of a rectangular pyramid? Plz

Answers

the formula is v = lwh / 3

please answer fast!!!! The wheels on Jessica's bike are 64 inches in circumference. How many times do the wheels rotate if Jessica rides 300 yards?

Answers

Answer:

169

Step-by-step explanation:

Help I'll give Brainly Est

Answers

225 I think not sure

Given f(x) = x^4 -3x^3 +10x^2 -9x +1. Is (x-2) a factor? Is x=-3 a zero? Find f(-1) show all work.

Answers

Step-by-step explanation:

(x-2) is not a factor

x = -3 is not a zero

Please mark my answer as the brainliest for further answers :)

A shirt was sold for sh 1054 after a 15% discount . what was the discount given

Answers

Answer: discount was 186

Step-by-step explanation: original price is x.

15 % = 0.15x , and x -0.15x= 1054 and 0.85x = 1054

Then x = 1054/0.85 = 1240. Discount was 1240-1054 = 186

Jillian wants to download a new ringtone to her cell phone. There are 954 music tones, 158 voice tones, and 63 sound effects to choose from. How many possible choices does Jillian have for her ringtone?
A.
221
B.
1,175
C.
9,496,116
D.
3,165,372

Answers

Answer:

B

Step-by-step explanation:

Just take all three numbers (954, 158, 63) then add them all up.

HELP ⚠⚠⚠ MARKING BRAINLIEST, IF UR CONFUSED, I NEED HELP WITH QUESTION 9 BUT QUESTION 8 IS RELATED TO IT ⚠⚠⚠

Answers

Answer:

John has a sheet of paper that is 8 feet long. He cuts the length of paper into eighths, and then cuts the length of each of these [tex]\frac{1}{8}[/tex] pieces into fourths. How many pieces does he have? How many inches long is each piece?

Step-by-step explanation:

I need help with the first

Answers

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Which expression represents the volume of the prism? One-halfx3 (one-half x) cubed Five-halvesx3 (Five-halves x) cubed

Answers

Answer:

Volume = ½x³ units.

Step-by-step explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

How do you write 5.96 x 10^-5 in standard form

Answers

Answer:

Nan

Step-by-step explanation:

Plzzzz guys help me with this i don’t know

Answers

Answer: B

Step-by-step explanation:

if I'm wrong sry lol

Answer:

D

Step-by-step explanation:

- 117° is positioned in the 3rd quadrant where sine < 0

The related acute angle is 180° - 117° = 63°

Then

sin(- 117)°

= - sin63° → D

Help I will be marking brainliest!! No links please!

A. 42,757.2
B. 4,750.8
C. 128,271.6
D. 256, 543. 2

Show work, if possible. Thanks❤️

Answers

Answer:

42,757.2

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. You always multiply the numbers!

Please mark me brainliest!

Hey there, friend!

Here's my answer!

[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

B. 4,750.8

C. 128,271.6

D. 256, 543. 2

============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

Second, multiply 1,583.6 and 27

[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

That's my answer

Keep safe, friend

Which table represents a linaer function

Answers

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

PLSS helpppp:)))))))))))))

Answers

-8 = 6 - 14

use the number line:

go to 6 on the number line and count back until you reach -8; you should count 14

since it's a -8 that means the bigger number also has to be negative. between 6 and 14, 14 is bigger so it becomes a negative number

so your answer is -14

Please help you don’t even have to solve it, I just need the equation

Answers

Step-by-step explanation:

Since the 2 side lines are parallel,

[tex]2x + 40 + 5x = 180 \\ 7x + 40 = 180[/tex]

(Note that you can further simplify the equation if you wish to, this is a general equation.)

(Equation formed due to Corresponding angles and Sum of angles on the same straight line)

Chirs bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chirs bought?

Answers

Answer:

39.52

Step-by-step explanation:

just multiply 3.8 by 104 and thats how many liters

i am slow and i need help!!

Answers

Answer:

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO!!!!!!!!!!!!!!!!

Step-by-step explanation:

The answer is a. 4
:)

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

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