Solve the system of equations by substitution.
3x + 4y - 12
x + 7y = 8

Answers

Answer 1

Step-by-step explanation:

[tex]3x + 4y = 12 \\ x + 7y = 8 \\ x = 8 - 7y \\ 3(8 - 7y) + 4y = 12 \\ 24 - 21y + 4y = 12 \\ 12 = 17y \\ y = 0.705 \\ x = 8 - 7(0.705) = 3.065 = 3.07[/tex]

Related Questions

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *

Answers

Answer:

(x, y) → (4x, 4y)

Step-by-step explanation:

Dilation is applied by the rule:

(x, y) → (kx, ky), where k is the scale factor

We have

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

-8 = -2k and 12 = 3k ⇒ k = 4

So the rule is

(x, y) → (4x, 4y)

WILL MARK BRAINIEST!
Rob is making for his young son a replica armchair of one he uses. The ratio of the length of the arm of the old chair to that of the new chair is 3:2. The arm of the old chair is 9 inches long. How many inches long will the arm of the new chair be?

Answers

Answer:

As the ratio of the length of the arm of the old chair to the length of the arm of the new chair is 3/2, and the length of the old chair is 9 inches, hence the length of the arm of the new chair is 6 inches.

The new length of the arm will be 6 inches

Which value of c makes the ratios equal?

5/6=9/c

A. c = 11
B. c = 10.8
C. c = 10.2
D. c = 5.8

Answers

c5/5=9(6)/5

c=54/5

c=10.8

the answer is B. c=10.8

Factoring.

The answer is supposed to look like this.

EXAMPLE:

5x(6x+2)(6x-2)

Answers

Step-by-step explanation:

2y×(5-4y)×(5+4y) here you go now please help me if you can

plz help its timed I need to get my grades up

Answers

5 1/4
Explanation:
1/2 is equivalent to 2/4
10 divided by 2 is 5

Answer:

4 12/18, simplified is 4 6/9

Step-by-step explanation:

You change the fractions to improper fractions so 10 1/2 to 21/2 and 2 1/4 to 9/4. Since we can't divide, we change 9/4 to 4/9 and multiply. 21 times 4 is 84 and 2 times 9 is 18. Since that is an improper fraction, we have to change it to a mixed number. 18 can go into 84 4 times, and 18 x 4 is 72. 84 minus 72 is 12 so the final answer is 4 12/18 (simplified 4 6/9)

Hope this helps :)

The difference between six times a
number and one is seventeen

Answers

Answer: 6x-1=7 (the difference means substract ion between 6 times a number, which is x, equals 7)

early algebra pls help!!

Answers

Answer:

6(4a + 5b) is the answer

PLEASE HELP! WILL MARK THE BRAINLIEST!

These might be easy, just try

Answers

For question 39, the answer is D.
The answer to the other question is C.

❗️HELP ASAP❗️
Which pair of angles is congruent??
F. 21 and 22
G. 21 and 24
H. 24 and 23
I. 24 and 22

Answers

I think the answer is G.

I think this because of the fact families (like my elementary teacher used to say)
It’s like about multiplication of fact families so make it where it would have fact families with those numbers as the sums.
I hope this helps! Be safe out there.

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

The correct answer is 3..

Find the GCF of 14x and 18xy

Answers

Answer:

Step-by-step explanation:

first find the GCF of 14 and 18

and then find the GCF of x and x

= 2x

hope it's helpful ❤❤❤❤

THANK YOU.

The greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.

What is LCM?

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The GCF of 14x and 18xy

As we know, GCF is the greatest common factor.

The greatest common factor of 14 and 18 or

GCF(14, 18) = 2

And the greatest common factor of GCF of x and xy

= x

the greatest common factor of 14x and 18xy is:

= 2x

Thus, the greatest common factor of 14x and 18xy is 2x if the numbers are 14x and 18xy.

Learn more about the LCM here:

brainly.com/question/20739723

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1 of 5
The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many
students are girls?

Answers

Answer:20 girls

Step-by-step explanation:the difference between 3 and 4 is one so there will be a difference of one between the 2 questions.

13^2 as a multiplication of factors is

Answers

Answer:

169!

Step-by-step explanation:

How many 1\8 teaspoons are equal to 4 3\4 teaspoons.

A. 18
B. 12
C. 1 7\12
D. 1 1\24

Answers

Answer:

Step-by-step explanation:

Answer:

24 1/8 teaspoons are equ to 4 3/4 teaspoons

-9(-5k + 3m) + 9m -5(-5m + 9k)

Answers

7m -36k
Here’s the answers

-9(-5k+3m) + 9m - 5(-5m+9k)

multiple -9 by -5k+3m

45k-27m + 9m -5(-5m+9k)

multiply -5 on -5m+9k

45k-27m + 9m +25m -45k

45k -45k -27m + 9m + 25m
0k. +7m

= 7m

A rectangular prism measures 3 1/2 cm long, 2 1/2 cm wide, and 1 1/2 cm high. How many cubes with side lengths of image cm are needed to fill the prism?

A.13 cubes

B.35 cubes

C.6 cubes

D.105 cubes

Answers

Answer:

D. 105

Step-by-step explanation:

A scientist is testing lake water at different depths. Order the samples of lake water from greatest depth to least depth. At what depth could the scientist take a new sample that would be shallower than the shallowest sample?

Answers

Many photosynthetic organisms and large amounts of light

Value of g, h, k, m. Please!!

Answers

Answer:

H = 137, by linear pair postulate

G = 43, by vertical angles theorem

M = 49, by linear pair postulate

K = 131, by vertical angles theorem

Identify the following as perfect squares, difference of squares, or trinomials.

Answers

It is a trinomial because it has three terms and it is not a perfect square nor a difference of squares.

6x4? multiplication answer

Answers

Answer:

24 ;)

Step-by-step explanation:

have a great day!

An arrow is moving at 35 m/s and travels for 5 seconds. How far did the arrow travel?
PLEASE SHOW WORK!

Answers

Answer:

175 metres it will travel this is answer hope it helps

175 meters 35 times 5 equals 175

The price of gasoline rose from 3.00$ to 3.15$ in one month. By what percent did the gas price rise?

Answers

Answer:

Step-by-step explanation:

3.15/3= 1.05

So, it rose by 0.05x which is equal to 5%

If you combine 4x and -2x how many x's will we have left?

Answers

Answer:

Step-by-step explanation:

4x+(-2x)=2x

what is the value of p so that the expession 6x+3-(8x-5) is equivalent to (px+8)?

Answers

Answer:

-2

Step-by-step explanation:

The first equation simplifies to -2x+8 so p should be replaced with -2

The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression, 6x+3-(8x-5)

another expression, (px+8)

Value of p for which both the expressions are equivalent = ?

So now, we can compare both the expressions

⇒ 6x+3-(8x-5)

⇒ 6x+3-8x+5

⇒ -2x+8

if compare it with (px+8)

then, p = -2

Hence, the values of p is -2

To know more about Expressions check:

brainly.com/question/16804733

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If x=5,then 3x+4x-15

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3*5) 15+(4*5) 20

20+15= 35-15= 20

Your answer is 20 I believe.

what is 3/8 x 4/5 plzzzzz help

Answers

Answer:3/10 or 0.3

Step-by-step explanation:

URGENT!! PLEASE HELP!! What method could be used to prove the below triangles similar?

Answers

Answer:

Step-by-step explanation:

i have to factorise it in middle term: x^2+2x-3 kindly help

Answers

Answer:

Answer:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml turn it to 0.285 L 10÷2=5

280ml :

Lower Bound: 275ml turn it to 0.275 L

Upper Bound: 6.75 L 0.5÷2=0.25

6.5 Litters :

Lower Bound:6.25 L

6.75÷0.275=24.54 or 25

6.25÷0.285=21.92 or 22Answer:

Joy definitely does have enough soup for 22 people.

Step-by-step explanation:

Upper Bound: 285ml turn it to 0.285 L 10÷2=5

280ml :

Lower Bound: 275ml turn it to 0.275 L

Upper Bound: 6.75 L 0.5÷2=0.25

6.5 Litters :

Lower Bound:6.25 L

6.75÷0.275=24.54 or 25

6.25÷0.285=21.92 or 22

Step-by-step explanation:

Tyler ate lunch at a restaurant. The bill came to $15. If he left a 15% tip, how much was the tip?

Answers

$2.25 because 15 x .15 = 2.25

John needs to wrap the edge of his rectangular desk with duct tape. He knows the width is 10/8 of a meter and the length is 3/8 of a meter. How much duct tape does he need to wrap the desk’s perimeter?

Answers

Answer: 1 and 5/8

Step-by-step explanation:

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Solve the system of equations by substitution. 3x + 4y - 12 x + 7y = 8

Answers

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Solve the system of equations by substitution.
3x + 4y - 12
x + 7y = 8