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iVinArrow [24]
3 years ago
8

There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run, How many runs can we paint?

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run. To find the amount of runs you can paint, you have to divide the total by the amount for each run.

7 \div \frac{5}{9}

When dividing fractions, you have to keep, change, and flip.

Keep\ 7 \\ Change\ \div\ to\ \times \\ Flip \frac{5}{9} = \frac{9}{5}

Your new equation is:

7 \times \frac{9}{5}

Multiply:

7 \times \frac{9}{5} = \frac{63}{5} = 12 \frac{3}{5}

You can paint 12 \frac{3}{5} or 12.6 runs.

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0
2 years ago
Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

\sqrt{61}=AC or 7.8102=AC

3 0
3 years ago
Write a real word problem that can be represented by the equation 3/4c=21
svetlana [45]

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

4 0
3 years ago
The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

y(x) = ab^x

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

P(t) = 25,000*1.12^t

8 0
3 years ago
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