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4 years ago

Write 6 1/4% as a decimal.

Mathematics

2 answers:

IceJOKER [234]4 years ago

6 0

The decimal is 0.0625

Lena [83]4 years ago

4 0

6 1/4 % as decimal

6 1/4 = 6 + 0.25 = 6.25

6 1/4 % = 6.25%

6.25/100

= 0.0625

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Question 13 options:

natka813 [3]

Answer:

The jar has 32 dimes and 18 quarters

Step-by-step explanation:

To solve this problem we can create a system of linear equations in terms of two-variables (say $x$ and $y$ ) and solve it. To begin let us analyze the problem further. We know that the values of each coin type are:

Dimes ( $x$ ) = $0.10

Quarters( $y$ ) = $0.25

Total Value = $7.70

Total Coins = 50

Now let us set up our system of equations as:

$0.10x+0.25y=7.70$ Eqn.(1)

$x+y=50$ Eqn.(2)

Lets take Eqn.(2) and rerrange it to solve for $x$ as:

$x=50-y$ Eqn.(3)

Now lets plug this, in Eqn.(1) so we get the value of $y$ as:

$0.10(50-y)+0.25y=7.70\\\\5-0.10y+0.25y=7.70\\\\-0.10y+0.25y=7.70-5\\\\0.15y=2.7\\\\$

$y=\frac{2.70}{0.15} \\\\y=18$

Plugging in $y=18$ back in Eqn.(3) we finally have:

$x=50-18\\x=32$

Thus we conclude that in the jar the coins are:

Dimes ( $x$ ) $=32$

Quarters( $y$ ) $=18$

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Mrac [35]

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