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lora16 [44]
3 years ago
9

Find the area of the following figure.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

312

Step-by-step explanation:

Triangles

1/2 12 *10 = 6*10 = 60

there are two triangles meaning we have to multiply 60 by 2 = 120

Rectangle

12*16 = 192

Add the two and you have the area 120+192=312

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A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

==================================

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

5 0
3 years ago
Thom worked 20 hours last week at the sporting-goods store and earned
Ilia_Sergeevich [38]

Answer:

He must work additional 8 hours.

Step-by-step explanation:

Because 1550.00/20=7.75

217.00/7.75=28

28-20=8

So,an additional of 8 hours

6 0
3 years ago
Please help If 25% of some number is 40, then what is 75% of that number?
Nikitich [7]

Explanation : % is the symbol for percentage. It means out of 100. 75% means 75 out of 100 which is represented as 75/100.

8 0
2 years ago
Read 2 more answers
Find the slope-intercept form of the line that passes through given the point and has the given slope. Include your work in your
nataly862011 [7]
Y=-1·[x-(-1)]+5=-x-1+5=4-x
4 0
3 years ago
Brandi solved 16 / 5 by using a related multiplication expression. What multiplication expression did she is?
klemol [59]

The given question is wrong.

Question:

Brandi solved \frac{1}{6}\div 5 by using a related multiplication expression. What multiplication expression did she is?

Answer:

The related multiplication expression is  $\frac{1}{6}\times \frac{1}{5}.

Solution:

Given expression is \frac{1}{6}\div 5.

We can write 5 as a fraction with denominator 1.

$ \frac{1}{6}\div5=\frac{1}{6}\div \frac{5}{1}

Using the fraction rule  $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c},

$\frac{1}{6}\div \frac{5}{1}=\frac{1}{6}\times \frac{1}{5}

Now multiply the fractions using the rule $\frac{a}{b}\times \frac{d}{c}=\frac{a\times d}{b\times c},

$\frac{1}{6}\times \frac{1}{5}=\frac{1\times1}{6\times5}

Let us multiply the numbers in the numerator and denominator separately, we get

$\frac{1\times1}{6\times5}=\frac{1}{30}

Hence the related multiplication expression is  $\frac{1}{6}\times \frac{1}{5}.

8 0
2 years ago
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