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Taseem’s loose change consists of dimes and quarters. When you ask her how many of each type of coin she has, she gives you the following clues: 0.1x+0.25y=19.9 and x+y=100 What can you conclude? Select all that apply.

Taseems Loose Change Consists Of Dimes And Quarters When You Ask Her How Many Of Each Type Of Coin She Has She Gives You The Following Clues 01x025y199 And Xy10 class=

Sagot :

The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

0.1x + 0.25y = 19.9 and

x + y = 100

Let x = number of dimes

y = number of quarters

After solving the above system of equations by substitution method.

[tex]\rm \dfrac{398-5y}{2}+y=100[/tex]

y = 66

[tex]\rm x=\dfrac{398-5\cdot \:66}{2}[/tex]

x = 34

Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66

Learn more about the linear equation here:

brainly.com/question/11897796

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