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Ainat [17]
3 years ago
7

The number of buckets of paint n needed to paint a fence varies directly with the total area of the fence and inversely with the

amount of paint p in a bucket. It takes three 1-gallon buckets of paint to paint 72 square feet of fence. How many 1-gallon buckets will be needed to paint 90 square feet of fence?
(Please show your work so I know how you got your answer and thanks in advance!)
Mathematics
1 answer:
Vesna [10]3 years ago
6 0
It takes three 1-gallon buckets to paint 72sqft, if you simplify or find the unit rate, you can know that you can paint 24sqft with one 1-gallon bucket of paint. Since you need to paint 90 sqft, you can’t use three buckets because it only covers 72sqft, but if you use 4 buckets, it will cover 96sqft.

THE ANSWER IS 4 1-GALLON BUCKETS OF PAINT
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Please help fast! (see picture)
valentina_108 [34]

m =  \frac{y2 - y1}{x2 - x1}  \\ m(x2 - x1) = y2 - y1 \\ m(x2 - x1) + y1 = y2
3 0
2 years ago
Can an expert help with this
SVEN [57.7K]

The formula of an area of a circle:

A_O=\pi r^2

We have

r = 1.8 m

π ≈ 3.14

Substitute:

A_O=\pi\cdot1.8^2=3.24\pi\ m^2\approx3.24\cdot3.14=10.1736\ m^2\approx10.17\ m^2

7 0
2 years ago
What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0
3 years ago
HELP ME PLEASE Find the slope of the line and write it as a rate of change.
Eduardwww [97]

Answer:

1

Step-by-step explanation:

6 0
2 years ago
on a grid starting at (0,0) if you were go to 1 unit and 2 units left what coordinates would you end up at? What quadrant would
snow_tiger [21]

Answer:

tou would be in quadrant #2

6 0
3 years ago
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