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sergiy2304 [10]
3 years ago
14

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y = 5x + 7 x = 8 A. (8, 47) B. (0

, 7) C. (8, 15) D. (0, 8)
Mathematics
1 answer:
Fed [463]3 years ago
4 0

Assuming the system is composed of the equations y = 5x+7 and x = 8, then the answer is (8,47) which is choice A

To get this answer, we simply replace x in the first equation with 8, and then compute

y = 5x+7

y = 5*8+7 .... replace x with 8

y = 40+7

y = 47

So together x = 8 and y = 47 pair up to get us the solution (x,y) = (8,47)

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Leto [7]

Answer:

DA = 285.7 m

Step-by-step explanation:

First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:

AB^2 = BC^2 + AC^2

AB^2 = 300^2 + 400^2

AB^2 = 25000

AB = 500 m

We can find the angle ABC with the tangent relation:

tangent(ABC) = 400/300 = 4/3

ABC = 53.13°

From triangle ABC, we have:

ABC + BCA + CAB = 180°

53.13 + 90 + CAB = 180

CAB = 36.87°

From triangle DAC, we have:

DAC + ACD + CDA = 180

36.87 + 45 + CDA = 180

CDA = 98.13°

Now to find the side of DA, we can use law of sines in triangle DAC:

DA/sin(DCA) = AC/sin(CDA)

DA/sin(45) = 400/sin(98.13)

DA = 400 * 0.7071 / 0.9899 = 285.7258 m

Rounding to nearest tenth, we have DA = 285.7 m

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

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A home has a triangular backyard. The second angle of the triangle is 6º more than the first angle. The third angle is 14º more
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Answer:

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Answer:

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