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4 years ago

Which of the following steps would you perform to the system of equations below so that the equations have equal x-coefficients?

Mathematics

2 answers:

KatRina [158]4 years ago

6 0

Answer: A) Multiply both sides of the top equation by 2.

Step-by-step explanation: The x-coefficient of the first equation (the number that is next to the x) is 4, and the x-coefficient of the second equation is 8, in order to them to be equal, we need to multiply the first equation by 2 (both sides), so the correct answer is the corresponding to option A, the equations would be:

8x+4y=8 first equation (after multiply it by 2)

8x-y=18 second equation

12345 [234]4 years ago

5 0

<u>The answer is A. Multiply both sides of the top equation by 2</u>

So since we know that 4 × 2 = 8, it would only make sense to multiply both sides by 2 so that the top equation has the x coefficient be 8.

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A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad

pychu [463]

Answer:

48 feet

Step-by-step explanation:

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

AB/FD = BC/DE --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB/4 = 36/3

AB = 12

AB = 48

Hence, the height of the lighthouse is 48 feet.

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3 years ago

Write a numerical expression for the difference of 100 and x

frosja888 [35]

Answer:

100-x

Step-by-step explanation:

Hope this helps:)

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3 years ago

I the revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is

MA_775_DIABLO [31]

Revenue = $2000

Labour cost = 40 x 8 = $320

Percentage = 320/2000 x 100 = 16%

Answer: 16%

4 0

3 years ago

A fisherman sold some big fish at $4 each and twice as many small fish at

harina [27]

Answer:

The answer is 12 big fish.

5 0

3 years ago

The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to est

Reika [66]

*see attachment showing the line graph

Answer:

Step-by-step explanation:

The red line represents the line for women, while the blue line represents the line for men.

Age 45 is the middle of 40 and 45 on the x-axis.

The average number of awakenings during the night for 45 -year-old men ≈ 5

The average number of awakenings during the night for 45 -year-old women = 3

The difference = 5 - 3 = 2 times during the night.

6 0

3 years ago