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Orlov [11]
2 years ago
15

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First Equat

ion: 5x − 4y = 28 Second equation: 3x - 9y = 30
Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

The correct answers are the equation 5x - 4y = 28 should be multiplied by 9 and 3x - 9y = 30 should be multiplied by 4.

Step-by-step explanation:

The two equations are given by 5x - 4y = 28 and 3x - 9y = 30.

We need to solve these two equations simultaneously for the value of x.

Thus we need to eliminate the y-terms to get the value of x in the fewest steps.

Therefore if we multiply  5x - 4y = 28 by 9 and 3x - 9y = 30 by 4, then the coefficient of y would be equal, to 36, and then we can subtract both the equations to get the value of x in the fewest step possible.

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The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the w
Alex787 [66]
Hey there,

Your question states: <span>The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the width of the poster. What are the dimensions of the poster? </span>

l= 16 \ x  \ 1.25 = 20  in

Your correct answer would be \boxed{20}

Hope this helps.
4 0
2 years ago
Read 2 more answers
What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?
MrRa [10]

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

8 0
2 years ago
Read 2 more answers
Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, an
wlad13 [49]
In science, rate is a<span> quantity measured with respect to another measured quantity. For the data given, we get the rate of each by calculating the slope. We do as follows:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week
Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Therefore, the plant that grew at a faster rate would be </span><span>Megan’s at 2.5 inches per week.</span>
4 0
2 years ago
Read 2 more answers
Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide. She
aalyn [17]

the diagonal of a rectangle is square root of (w^2 +l^2)


so square root of (14^2 +10^2) = 17.2 inches

since 20" is longer than 17.2 it can't be a rectangle

4 0
2 years ago
Read 2 more answers
A commuter railway has 800 passengers a day and charges each one 2 dollars. ?
Fiesta28 [93]

Answer:

I= -20p^2 + 840p

Step-by-step explanation:

When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.  

You can put information into these equations of:

passenger- = (800-2x)

ticket price= p = $2 + 0.1x

Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.

p= $2 +0.1x

p-$2 = 0.1x

x= 10p- $20

If  p= ticket price, the function for the number of passengers it will be:

passenger = (800-2x)

passenger = 800- 2(10p- $20)

passenger =800- 20p+40

passenger =840- 20p

The function of I will be:

I= passenger x ticket price

I=  840- 20p * p

I= -20p^2 + 840p

4 0
2 years ago
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