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3 years ago

22/39 of 3/11 plz help asap :)

Mathematics

2 answers:

Natalija [7]3 years ago

7 0

Answer:

2/13

Step-by-step explanation:

To find a fraction of a fraction, you just multiply the two.

So 22/39 x 3/11 is 22x39 over 3/11

or 66/429.

Simplified would be 22/39.

Anton [14]3 years ago

4 0

Answer:

2/13

Step-by-step explanation:

22/39x3/11

2/13

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A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545 cents, how many d

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A dime is worth 10 cents and a quarter is worth 25 cents.

Let D be the number of dimes and Q be the number of quarters.

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Notice that we have found a 2x2 system of equations:

$\begin{gathered} D+Q=32 \\ 10D+25Q=545 \end{gathered}$

Solve the system using the substitution method. To do so, isolate D from the first equation and replace the expression for D into the second equation to obtain a single equation in terms of Q:

$\begin{gathered} D+Q=32 \\ \Rightarrow D=32-Q \\ \\ 10D+25Q=545 \\ \Rightarrow10(32-Q)+25Q=545 \\ \Rightarrow320-10Q+25Q=545 \\ \Rightarrow25Q-10Q=545-320 \\ \Rightarrow15Q=225 \\ \Rightarrow Q=\frac{225}{15} \\ \\ \therefore Q=15 \end{gathered}$

Replace back Q=15 into the expression for D to find the amount of dimes: