Answer with Step-by-step explanation:
Let there be d dimes and q quarters
A woman has 21 total coins in her pocket.
⇒ d+q=21 ------(1)
1 dime=$ 0.1
1 quarter=$ 0.25
The total value of her change is $3.90
⇒ 0.1d+0.25q=3.90
Multiplying both sides by 100,we get
10d+25q=390 --------(2)
(2)-10×(1)
10d+25q-10d-10q=390-210
15q=180
Dividing both sides by 15, we get
q=12
Putting value of q in (1),we get
d=9
Hence, Number of dimes=9
and number of quarters=12
Write the number of dimes, then the number of quarters separated by a comma.
9,12
Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get

Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1

<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1

Thus you must travel at 42 mph for 4 hours
Hi there! The answer is 5/6 hours (which is 50 minutes)
To find the total time Ann spent on her papers, we must add the fractions.

In the first step, we had to make the denominators the same. We need to use the LCM of the numbers 2 and 3. LCM(2,3) = 6.
In the second step we added the fractions. Remember that we only need to add the numerators (the denominator remains the same).
~ Hope this helps you!
Set up a proportion.
.75/5 = x/4
Cross multiply and you get 3/5 of a tank.