Jackie has a jar of 54 coins consisting of dimes and quarters. If she has a total of $10.05, how many dimes does she have?

Mathematics

1 answer:

Jlenok [28]3 years ago

8 0

31 dimes and 23 quarters

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11/15 minus 1/3 in simplified form

Mrac [35]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

$\frac{11}{15} - \frac{1}{3} \\ \frac{11}{15} - \frac{1 \times 5}{3 \times 5} \\ \frac{11}{15} - \frac{5}{15} \\ \frac{6}{15} \\ \frac{6 \div 3}{15 \div 3} \\ \frac{2}{5}$

6 0

2 years ago

Read 2 more answers

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

$4x+2y=222$

"He paid $213 for two hours skiing and three hours boating":

$2x+3y=213$

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$