Ellason wants to solve the following system using the elimination method: 5x + 2y = 30
x + y = 8

What number should the equation x + y = 8 be multiplied by to eliminate y?

Answers

Answer 1
Answer: 5x + 2y = 30
x + y = 8

when multiplying an equation every term is multiplied
eg:
x + y = 8 //multiply by 3
3*x + 3*y = 3*8
3x + 3y = 24

in elimination method two equations are added when there are oposite coefficients of chosen variable

5x + 2y = 30 coefficient of y is 2
x + y = 8 //multiply by -2

5x + 2y = 30
-2x - 2y = -16
-------------------- sum
5x-2x+2y-2y=30-16
3x = 14  //y has been eliminated (elimination method)

answer: the number is -2


Answer 2
Answer: Solutions 

1) Multiply the 2nd row by 5

5x+2y=30

5x+5y=40 

2) 
Subtract the 2nd row from the 1st row

−3y=−10 

3) 
Solve for the variable y in the above equation

⇒ Solve for y

−3y=−10 

⇒ Divide both sides by −3

y=−10 / −3

⇒ Simplify 10 / −3 to 10 / 3

y=10 / 3 

4) 
Substitute y=10 / 3 into any of the two equations above.Let's pick the first equation 5x+2y=30. 

5x+2× 10 / 3 = 30 

5) Solve for x in the above equation  

(there are more steps but the answer is below) 

x=14 / 3 

Therefore,

x=14 / 3 

y=10 / 3


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The class of 2015 decides to start a T-shirt company. After initial expenses of $280, the purchase each t-shirt for $3.99. They sell each t-shirt for $10.99. how many must they sell to break even?

Answers

$280=budget

10.99-3.99= $7 profit made with each shirt

$280/7= 40

Therefore the class must sell at least 40 t shirts to break even
70 bc, if u round up 3.99 it equals 4. then 4x70=280 the number you want. and if you round up 10.99 to 11 its 770 so you would have 490 left over to buy more

You have just purchased a 6-lb bag of apples for $4.80 at a local produce stand. How much would you expect to pay for a 10-lb bag of apples?

Answers


First, find out how much money it cost per 1 lb of apples.

Divide $4.8/ 6 lbs

$0.8/ 1 lbs

Multiply amount per pound by cost

0.8 * 10 = 8

$8.00 for 10 lb bag of apples.

12.28 as a mixed number

Answers

12.28 is equal to 12 + 0.28. Since 0.28 is read as "twenty-eight hundredths", that's exactly how we write it in fractions: 28/100. Next, we need to simplify the fraction into its simplest form by looking for number that can be divided to both numerator and denominator. Hence, we have 12.28 = 12 + 28/100 = 12 + 7/25 = 12 7/25. Answer is 12 7/25.

Answer: 12 7/25

Just got this on khan and this was the right answer!

What is the area of the whole rectangle

Answers

Answer:

Step-by-step explanation:

it is divided into 4 rectangles

first rectangle ( 100 cm ^2)

area = l × b

= 10 × 10 = 100 cm^2

second rectangle ( 60 cm^2)

area = l × b

= 6 × 10 = 60 cm^2

third rectangle ( 20 cm^2)

area = l × b

= 2 × 10 = 20 cm^2

fourth rectangle ( 12 cm^2)

area = l × b

= 2 × 6 = 12 cm^2

so total area of the rectangle = 100 + 60 + 20 + 12 cm^2

= 192 cm^2

hope this helps

plz mark it as brainliest!!!

Relative minimum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A 35 -inch long stick is cut into two pieces. If the ratio of their lengths is 2:3, how long is each piece?

Answers

Answer:

14 inches and 21 inches

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 = 5 parts

divide length of stick by 5 to find the value of one part of the ratio

35 inches ÷ 5 = 7 inches ← value of 1 part of the ratio , then

2 parts = 2 × 7 = 14

3 parts = 3 × 7 = 21

the 2 pieces are 14 inches and 21 inches long

Answer:

Step-by-step explanation:

Answer:

14 inches and 21 inches

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 = 5 parts

divide length of stick by 5 to find the value of one part of the ratio

35 inches ÷ 5 = 7 inches ← value of 1 part of the ratio , then

2 parts = 2 × 7 = 14

3 parts = 3 × 7 = 21

the 2 pieces are 14 inches and 21 inches long