43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1


X-7y=8
5x+4y=20

Answers

Answer 1

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

https://brainly.com/question/2972832


Related Questions

What is 4 pounds as ounces? *

Answers

Answer:

64

Step-by-step explanation: I looked it up

The answer is 64 ounces

Help Please Just solve the question below

Answers

B. (3, 0.5).

Step by step explanation:

x + 2y = 4

2x - 2y = 5

Adding the 2 equations eliminates the y:

3x = 9

x = 3

Substitute for x in the first equation:

3 + 2y = 4

2y = 1

y = 0.5.

Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.

6 x + 8 y = 133. 2 x = y.

Which statements about the system are true? Check all that apply.

1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.

2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.

3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.

Answers

Answer:

The number 3 is more accurate

Answer:

Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.

Step-by-step explanation:

I’ll give 100 points

Answers

Answer:

cant even see the screen good

Step-by-step explanation:

2055

I think cuz when u substitute 170 min for x which is min and solve u get 2055

(feet) y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3 (round to nearest WHOLE number)

y = 2055 ft

hope this helps!

please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.

every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.

c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds

d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.

Answers

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

ANSWER 100 POINTS AND BRAINLY THIS IS MATH

Answers

Difference between relation and function?

Functions have unique range for each domain.Where as relation haven't.

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

What is the range of function g?

Answers

Answer:

C

Step-by-step explanation:

This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:

[tex]y \geq 2[/tex]

What is the correct answer?

Answers

Answer:

The first one:

Equation n+(n+1) +(n+2)=36

3n+3=36

the numbers are 11, 12,13

Step-by-step explanation:

So if you plug ll for n you get 36

So if you plug 12 in for in u get 39

Then in you plug 13 in for n u get 41

I hoped that helped

Answer: First option

The numbers are 11, 12, 13

11+12+13 = 36

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

Explanation:

Here's one way to solve for n

n+(n+1)+(n+2) = 36

3n+3 = 36

3n = 36-3

3n = 33

n = 33/3

n = 11

That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13

So the three numbers are 11,12,13

11+12+13 = 23+13 = 36 which confirms the answer

-------------

For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.

As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.

Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.

Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.

Answers

Answer:  8.6

Step-by-step explanation:

8.57142857143 -->     8.6

PLEASEEE HELPPP!!!!!

Answers

Answer:

-5+.3

Step-by-step explanation:

eeeeeeee

Will mark brainliest (give me 2 possible answers pls)

Answers

Answer:

x+5/x+6

Step-by-step explanation:

x+5/x+6 is the only possible answer.


I used the Web Algebrator website to check my answer. Picture added.

Plz help me do this

Answers

Answer:

the rise is 6 and the run is 4

Answer:

The rise is 6 and the run is 4

easy one for you folks. show work.
who ate more?​

Answers

What is the question

Answer:

regan ate more than maggie

Simplify 30 ÷3 of [37-{30÷(13-20+12)}-26]

Answers

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

also read similar questions: Simplify. - 2x - } – 5x + i + x - х - 17/3 - 3 + 10 х Enter your answer in the b…

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Evaluate. {3+ [-5 (2 – 4) : 2]} •3

https://brainly.com/question/25291236

Answer:

[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: The \: operation \: 'of'[/tex]

[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]

[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]

[tex]30 ÷3 [37-{6}-26][/tex]

[tex] \rm \: 30 \div 3\times [31 - 26][/tex]

[tex] \rm30 \div 3 \times 5[/tex]

[tex] \rm \: 10 \times 5[/tex]

[tex] \rm \: 50[/tex]

Which table represent a linear function

Answers

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.

Answers

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

137 - 16 x 5 = Y 137 - 80 = Y 57 = Y

Learn more about maths in https://brainly.com/question/25989509

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment​

Answers

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

The table below gives selected values for the differentiable and decreasing function f and it’s derivative. If f^-1(x), what is the value of g’(9)

Answers

According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.

By the inverse function theorem,

[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]

Thank You In Advance ;))

Answers

Answer:

17,984,000

Step-by-step explanation:

because it is

Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=

Answers

Answer:

3971.570

Step-by-step explanation:

The answer is 3,971.570

Please help meeeeeeeeeeeeeeeeeee

Answers

Answer:

[tex]\frac{3^{12}}{3^{10}}[/tex]

Step-by-step explanation:

+ or x you plus the indices

- or divide you minus the indices

so 3^8 x 3^4 would be 3^12

and 3^2 x 3^8 would be 3 ^10

ILL GIVE BRAINLIEST
Two machines are printing shirts. The first machine can produce 2,100 shirts in 140 minutes. The second machine can produce 2,400 shirts in 120 minutes. If the two machines work together, how long will it take them to produce 7,350 shirts? If necessary, round your answer to the nearest whole number.

Answers

Answer:

210

Step-by-step explanation:

so first i found out how many shirts each prints in a minute

the first machine produced 15/min

the second produced 20/min

now I added the 2 together and got 35

7,350/35 is 210

solve pls brainliest



Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *

Answers

Answer:

Reduction: new dimensios are 1.5ft x 2.5ft

Step-by-step explanation:

Since he is using a scale factor of 1/2, we merely multiply everything by 1/2

3 ft * 1/2 = 1.5 ft

5 ft * 1/2 = 2.5 ft

It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.

Answer:

The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.

Step-by-step explanation:

Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.

pls help me answer this it's due today​

Answers

Answer:

I think its 21 But if its times then its 240

Step-by-step explanation:

Hope this helped

Answer:

120

Step-by-step explanation:

formula for volume is area×height

so

v=1 /2b×h×l

v=1/2×5×4×12

v=2.5×4×12

v=10×12

[tex]v= {120cm}^{3} [/tex]

A new ferrari costs 213,054 how much would it cost after a 35% discount?

kinda need help fast

30 points

Answers

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING

Answers

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

red=4blue=6green=0

There is no green marbles

So it will never occur(impossible event)

Probability is 0

A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Circumference of a circle = pi x diameter

pi = 3.14

diameter = radius x 2
diameter = 10 x 2
diameter = 20

Circumference = 3.14 x 20
Circumference = 62.8 ft

Answer:

62.8 ft

Step-by-step explanation:

Circumference = 2πr

2 * 3.14 * 10 = 62.8

\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3

Answers

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%​

Answers

I think 80 percent… hope this helps

Write the equation of the line that passes through the point (4,5) and is perpendicular to the graph of y=2x-3

Answers

Hello there! :)

We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, make it negative, and flop it over:

2

-2

-1/2

So the slope of the line perpendicular to y=2x-3 is -1/2.

Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Now, let's plug our values into the equation:

y-y1=m(x-x1)

y-5=-1/2(x-4)

y-5=-1/2x+2

y=-1/2x+2+5

y=-1/2x+7

Hence, that is the equation of the line.

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

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