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2 years ago

Six carpenters can build six dog houses in six days. how many days will it take three carpenters to build two dog houses

Mathematics

1 answer:

patriot [66]2 years ago

6 0

It would take 4 days for them to build the houses.

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Total consumption of fruit juice in a particular country in 2006 was about 2.09 billion gallons. The population of that country

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2 years ago

Write a word problem that can be solved using a drawing 4 x 8 ?

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Bill was designing his living room. Bill decided his room was twice the size of his rug. His rug was 4x8, how big was his room.

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2 years ago

Pls help this is due today! A circular plate has a circumference of 14p in. Find the area of the same plate.

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A change jar contains nickels, dimes and quarters. The total amount of money in the jar is $1.90. The amount of nickels is one m

telo118 [61]

Answer:

Number of dimes = 3

Number of nickels = 7

Number of quarters = 5

Step-by-step explanation:

Let x be the number of dimes in the jar.

The amount of nickels is one more than twice the number of dimes, then the amount of nickels is $2x+1.$

The number of quarters is one half the total number of nickels and dimes, so the number of quarters is $\frac{1}{2}(x+2x+1)=\frac{1}{2}(3x+1)$

Fill in the table

$\begin{array}{ccc}&\text{Number of coins}&\text{Value in these coins in cents}\\ \\\text{Dimes}&x&10x\\\text{Nickels}&2x+1&5(2x+1)\\\text{Quarters}&\frac{1}{2}(3x+1)&25\cdot \frac{1}{2}(3x+1)\end{array}$

Thus, the total sum in cents is

$10x+5(2x+1)+\dfrac{25}{2}(3x+1)\\ \\=10x+10x+5+\dfrac{75}{2}x+\dfrac{25}{2}\\ \\=20x+37.5x+5+12.5\\ \\=57.5x+17.5$

The total amount of money in the jar is $1.90 that is 190 cents. So,

$57.5x+17.5=190\\ \\575x+175=1,900\ [\text{Multiplied by 10}]\\ \\575x=1,900-175\\ \\575x=1,725\\ \\x=3$

Number of dimes = 3

Number of nickels = 7

Number of quarters = 5

Check the total amount of money in the jar:

$3\cdot 10+7\cdot 5+5\cdot 25=30+35+125=190\ cents =\$1.90$

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2 years ago