Question

2 jeff has practice 3 times this week. each practice is \\(\frac{3}{4}\\) hour long. how long did jeff practice during the week?
a \\(1\frac{1}{2}\\) hours
b \\(2\frac{1}{4}\\) hours
c \\(3\frac{3}{4}\\) hours
d \\(5\frac{1}{4}\\) hours

3 every month, mrs. falco spends the money from her paycheck the same way. she uses \\(\frac{1}{2}\\) of the money to pay bills. she puts the remaining amount into 2 accounts for college tuition for her children, tyler and jarrad. each childs account receives the same amount. which statement is true?
a mrs. falco puts \\(\frac{1}{4}\\) of the money from her paycheck into jarrads college account.
b mrs. falco puts \\(\frac{1}{3}\\) of the money from her paycheck into jarrads college account.
c mrs. falco puts \\(\frac{1}{5}\\) of the money from her paycheck into tylers college account.
d mrs. falco puts \\(\frac{1}{2}\\) of the money from her paycheck into tylers college account.

Explanation:

Question 2

Step1: Identify the number of practices and time per practice

Jeff practiced 3 times, each practice is $\frac{3}{4}$ hour long.

Step2: Calculate total practice time

To find the total time, multiply the number of practices by the time per practice: $3\times\frac{3}{4}=\frac{9}{4}$

Step3: Convert improper fraction to mixed number

$\frac{9}{4}=2\frac{1}{4}$ (wait, no, wait, let's check again. Wait, 3 times $\frac{3}{4}$? Wait, the original problem says "each practice is $\frac{3}{4}$ hour long"? Wait, the user's image: "Each practice is $\frac{3}{4}$ hour long"? Wait, the options: A is $1\frac{1}{2}$, B is $2\frac{1}{4}$, C is $3\frac{3}{4}$, D is $5\frac{1}{4}$. Wait, 3 times $\frac{3}{4}$: $3\times\frac{3}{4}=\frac{9}{4}=2\frac{1}{4}$? Wait, no, maybe I misread. Wait, the problem: "Jeff has practice 3 times this week. Each practice is $\frac{3}{4}$ hour long. How long did Jeff practice during the week?" Wait, 3 times $\frac{3}{4}$: $3\times\frac{3}{4}=\frac{9}{4}=2\frac{1}{4}$, which is option B? Wait, but let's check the options again. Option B is $2\frac{1}{4}$ hours. Wait, but maybe I made a mistake. Wait, no, 3 times $\frac{3}{4}$ is $\frac{9}{4}$, which is $2\frac{1}{4}$. So the answer is B.

Step1: Find the remaining money after paying bills

Mrs. Falco uses $\frac{1}{2}$ of her paycheck to pay bills, so the remaining amount is $1 - \frac{1}{2}=\frac{1}{2}$.

Step2: Divide the remaining money into 2 equal accounts

She puts the remaining $\frac{1}{2}$ into 2 accounts, so each account gets $\frac{1}{2}\div2=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
So each child's account (Tyler and Jarrad) gets $\frac{1}{4}$ of the paycheck. So the true statement is that Mrs. Falco puts $\frac{1}{4}$ of the money into Jarrad's (and Tyler's) account. Looking at the options, option A says $\frac{1}{4}$? Wait, the options: A: $\frac{1}{4}$, B: $\frac{1}{3}$, C: $\frac{1}{5}$, D: $\frac{1}{2}$. Wait, the user's image: "A Mrs. Falco puts $\frac{1}{4}$ of the money...", B: $\frac{1}{3}$? Wait, maybe the original problem has fractions. Wait, let's re-express:

Total paycheck: 1 (whole). Bills: $\frac{1}{2}$, so remaining: $1 - \frac{1}{2}=\frac{1}{2}$. Split into 2 accounts: $\frac{1}{2}\div2=\frac{1}{4}$. So each account (Jarrad and Tyler) gets $\frac{1}{4}$ of the paycheck. So option A is correct? Wait, the options: A: Mrs. Falco puts $\frac{1}{4}$ of the money from her paycheck into Jarrad's college account. So that's true.

Answer:

B. $2\frac{1}{4}$ hours

Question 3