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Verizon [17]
3 years ago
7

5 times a number increased by 4 is at least nineteen

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

5(x+4) ≥ 19

x ≤  -1/5

Step-by-step explanation:

5(x+4) ≥ 19

5x + 20 ≥ 19

5x ≤  -1

x ≤  -1/5

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If six cans of soda cost nine dollars, how much would it cost for 8 cans.
AnnZ [28]

Answer:

Solution:

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Combine and Simplify:<br> 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3<br> WRITE 2 WAYS!
Bezzdna [24]

Answer:

Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

Step-by-step explanation:

We need to combine and simplify

48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

<u>Like terms</u>: terms having same variable

48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})

Now we take LCM of like terms

=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32

So, Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

6 0
3 years ago
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rjkz [21]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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GREYUIT [131]

Answer:

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Step-by-step explanation:

The factoring of the sum of cubes is ...

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1. a=2x, b=1

  = (2x)³ + 1³

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2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

  = (2x)(x³ +2³)

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3. a=x, b=2

  = x³ +2³

3 0
3 years ago
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