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Rainbow [258]
2 years ago
5

What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

Mathematics
1 answer:
Stells [14]2 years ago
3 0

Answer:

y-intercept is -4

Step-by-step explanation:

(Refer to image)

Substitute the point and slope with the slope formula: y=mx+b and simplify

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I want to install carpet in my living room, which is 200 inches long and 50 ft wide. The carpet is sold for 5000 naira per yard2
inn [45]

Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units.  I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

7 0
2 years ago
How far above sea level is the ranger station?
Schach [20]
Since he descended 12 meters, we subtract this from the overall height of Mount Ka'ala, so then we are only calculating how high ABOVE the sea level it is.

1232 - 12 = 1220

The height of Mount Ka'ala is therefore 1,220 meters.
To calculate how much a fifth of Mount Ka'ala is (since the ranger station is 2/5's up), we would divide this number by 5

1220 ÷ 5 = 244

Since ONE fifth of the height is 244 meters, TWO fifths would be double that amount.

244 x 2 = 488

488 meters.
The ranger station is 488m above sea level.
3 0
2 years ago
Use the multiplier method to increase £72 by 12%<br> You must show your working.
cricket20 [7]

Answer:

£80.62

Step-by-step explanation:

100+12%=112%

112/100= 1.12

1.12*£72 =£80.62

5 0
3 years ago
Last week, Tina worked 40 hours in 4 days. She worked the same number of hours each day. How many hours did she work each day? W
blsea [12.9K]

She works 10 hour per day

3 0
3 years ago
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
2 years ago
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