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3 years ago

Factor the expression 36x + 27 using the GCF.

Mathematics

2 answers:

Masja [62]3 years ago

6 0

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

and

are both multiples of

and

We use

because it is the highest common factor:

Divide

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

This will give us the original expression:

9(3+4x)=27+36x

laila [671]3 years ago

4 0

Answer:

9(4x+3) :)

Step-by-step explanation:

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3 years ago

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

sleet_krkn [62]

It costs $ 3.4 to fill the hot tub

<h3>Solution:</h3>

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

The volume of cuboid is given as:

$\text{Volume of cuboid } = length \times width \times height$

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

Thus volume of rectangular hot tub is:

$volume = 6 \times 5 \times 3 = 90$

Thus volume of rectangular tub is $90 ft^3$

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ $\frac{5}{1000}$

Find for 673.247 gallons

673.247 gallons = $\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4$

Thus it costs $ 3.4 to fill the hot tub

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2 years ago

Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le

dimulka [17.4K]

Answer: The answer is (22, 15).

Step-by-step explanation: Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

$x-y=7,\\\\3x+2y=96.$

Multiplying the first equation by 2 and adding to the second equation, we have

$2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.$

So,

$y=x-7=22-7=15.$

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

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3 years ago

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The answer is 28
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2 years ago

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