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3 years ago

Solve 5x-3y =1, 3x-y=5.

Mathematics

1 answer:

Ghella [55]3 years ago

3 0

Answer:

Below in bold.

Step-by-step explanation:

5x - 3y = 1

3x- y = 5 Multiply this equation by -3:

-9x + 3y = -15 Now add this equation to the first equation:

-4x = -14

x = -14/-4 = 3.5.

Now substitute for x in equation 1:

5(3.5) - 3y = 1

-3y = 1 - 17.5

-3y = -16.5

y = 5.5.

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A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

bija089 [108]

Answer:

r = 51.96 inches

Step-by-step explanation:

$V_{cone} = \pi {r}^{2} h \\ \\ \implies \: r^{2} = \frac{V_{cone}}{\pi h } \\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } }\\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } } \\ \\ \implies \: r^{2} =2700 \\ \\ \implies \: r= \sqrt{2700} \\ \\ \implies \: r=51.96 \: inches$

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2 years ago

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3 years ago

A kitchen sink holds 24 gallons of water. A full sink drains at 3 gal

Bess [88]

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2 years ago

A jet flew to the maintenance facility and back. The trip there took ten hours and the trip back took four hours. It averaged 42

Lana71 [14]

Speed is distance over time

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3 0

2 years ago

Copland completes in 27 swimming events this season. He wins either first place or second place in each event. Copland has 3 mor

lubasha [3.4K]

Answer:

First Place wins in 15 events

Second Place wins in 12 events

Step-by-step explanation:

Let

the number of events winning first place be "f"

the number of events winning second place be "s"

Total 27 swimming events, we can write:

$f+s=27$

First place wins is THREE MORE than 2nd place wins, so we can write:

$f=s+3$

Replacing 2nd equation in 1st equation, we can solve for "s":

$f+s=27\\(s+3)+s=27\\2s+3=27\\2s=24\\s=12$

We know

f = s + 3

so,

f = 12 + 3

f = 15

Thus,

<u>First Place wins in 15 events</u>

<u>Second Place wins in 12 events</u>

5 0

3 years ago