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tangare [24]
2 years ago
7

What is the solution to the system of equations? y = –3x – 2 5x + 2y = 15 (–40, 19) (–19, 55) (19, –40) (55, –19)

Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0

Step-by-step Answer:

What is the solution to the system of equations?

y = –3x – 2 ..............(1)

5x + 2y = 15..............(2)

Substitute (1) in (2) to give

5x + 2(-3x-2) = 15

5x-6x-4 = 15

-x-4=15

solve for x:

-4-15 = x

x=-19

Now substitute x=-19 into equation (1)

y = -3x-2 = 57-2 = 55

Therefore the solution is (-19, 55)

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What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches, a width of 11 inches, and a length of 4
jolli1 [7]

Answer:

836

Step-by-step explanation:

4 times 19 times 11

7 0
2 years ago
Amy wants to carpet a room that is 12 feet by 8 feet.
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3 years ago
Area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
qwelly [4]
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:

area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2

Substitute the values in to the expression, 
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12

Final answer would be 12 units.

Hope this helps!
5 0
3 years ago
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consum
Mariulka [41]

Step-by-step explanation:

Mean = 81740

Standard deviation = 4590

Sample size = 15

Alpha level = 1-0.95 = 0.05

Df = 15-1 = 14

Critical value:

alpha/2 = 0.05/2 = 0.05

t0.025

t critical value = 2.145

Margin of error ME

2.145 x 4590/√15

2.145 x 4590/3.873

ME = 2542.09

Confidence interval

Lower CI = mean - ME

= 81740-2542.09

= 79197.91

Upper CI = mean + ME

= 81740+2542.09

= 84282.09

[ 79197.91, 84282.09]

B.

Using excel, exact answer for CI

Lower limit = 79198.142724212173

Upper limit = 84281.8572757827

C.

The assumptions to be made from the population are that

1. Samples are random

2. These samples are gotten from an approximately normal distribution

6 0
2 years ago
If Nicholas spends $8.10 on pixie sticks how many pounds did he purchase. Pixie sticks $4.50 per pound show word. Jane measure $
Ira Lisetskai [31]

Answer:

Nicholas bought 1.8 lbs, and Jane bought 3lbs.

Step-by-step explanation:

Divide the total amount by how much it is per pound, so 8.10 divided by 4.50 = 1.8 and 9.75 divided by 3.25= 3

8 0
2 years ago
Read 2 more answers
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