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hammer [34]
3 years ago
9

If 1/2 gallon of paint covers 1/5 of a wall, then how much paint is needed for the entire wall

Mathematics
1 answer:
Blababa [14]3 years ago
6 0
2 1/2 gallons of paint.

If 1/2 gallon covers 1/5 of the wall, multiply 1/2 gallon by 5 to find how much is needed to cover 5/5, or the entire wall. You get 5/2. Now, simplify. 5/2 = 2 1/2 gallons of paint.
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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
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First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
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3 years ago
Bob can dig holes and plant 15 trees in 60 minutes. George can accomplish this same task in 120 minutes. If they work together,
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Answer:

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Step-by-step explanation:

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HAT MATH ARE U IN
i got part of it but it lost me the 
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SinA=5root3/10
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