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LuckyWell [14K]
3 years ago
14

What is the solution set of this inequality?

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

A.

x\ge \:4

Step-by-step explanation:

8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4

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There are 34 Pre-K children and 29 kinder garden children on the playground, some boys and some girls. The ratio of boys to girl
Natali [406]

There are 27 boys on the playground.

Step-by-step explanation:

No. of Pre-K children = 34

No. of kindergarten children = 29

Total no of children = 29+34 = 63

Ratio of boys to girls = 3:4

Total ratio = 3+4 = 7

Therefore,

boys proportion = \frac{3}{7}

Total number of boys = \frac{3}{7}\ of\ total\ number\ of\ children

Total\ number\ of\ boys = \frac{3}{7} *63\\Total\ number\ of\ boys = \frac{189}{7} \\Total\ number\ of\ boys = 27

There are 27 boys on the playground.

Keywords: Proportion, division.

Learn more about proportion at:

  • brainly.com/question/2283067
  • brainly.com/question/2284968

#LearnwithBrainly

5 0
3 years ago
What's the additive inverse of 0.75.
Sophie [7]

Answer:

additive \: inverse =  - 0.75

6 0
3 years ago
Turn 0.43,0.50 into a median <br> 20 points
Karolina [17]
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8 0
4 years ago
Read 2 more answers
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

6 0
3 years ago
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How to find the square root using long devision
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I found this, I hope it works and if it doesn’t then i’ll try again!
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