If 5 apples cost $2.00, how much will 15 apples cost?

Which inequality is equivalent to 4x − 12 < 12?

x < 6

Consider the given inequality:
4x − 12 < 12
4x < 12 + 12
4x < 24
Divide by 4 on both sides, we get:
x < 6

A faucet is leaking 1 drop every 4 seconds. If 1 gallon is equal to 15,140 drops, which of the following lengths of time will it take for this faucet to leak 1 gallon of water?

16 hours, 49 minutes, 12 seconds.

First, convert 15,140 drops to seconds using the ratio given:
15,140 drops × $\frac{4sec}{1drop}$ = 60,560 sec.
Now convert seconds to hours:
60,560 sec × $\frac{1min}{60sec}$ × $\frac{1hr}{60min}$ = 16.82 hr.
Convert the remainder of hours back to minutes and seconds:
0.82 hr. × $\frac{60min}{1hr}$ = 49.2 min.
0.2 min × $\frac{60sec}{1min}$ = 12 sec.
16 hours, 49 minutes, 12 seconds.

Tina bought a scarf for $16.65. She gave the clerk $20. How much change should she get back?

$3.35

$20 - $16.65 = $3.35

Michael is making cupcakes. He plans to give 1/2 of the cupcakes to a friend and 1/3 of the cupcakes to his coworkers. If he makes 48 cupcakes, how many will he have leftover?

8

Add the number of cupcakes he will give to his friend and to his coworkers, then subtract that value from 48.
the number of cupcakes for his friend:
1/2 × 48 = 24
the number of cupcakes for his coworkers:
1/3 × 48 = 16
48 − (24 + 16) = 8

Max has 2.5 times the number of marbles that Jacob has. Jacob has 34 marbles. Steven has 0.2 times the number of marbles that Max has. How many marbles does Steven have?

17

If Jacob has 34 marbles, then Max has 2.5 times that amount, which is:
2.5 x 34 = 85
So Max has 85 marbles.
Steven has 0.2 times the number of marbles that Max has, which is:
0.2 x 85 = 17
Therefore, Steven has 17 marbles.

If the average person drinks eight 8oz - glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?

$\frac{\mathrm{1} }{\mathrm{5}}$

$\frac{\mathrm{12.8} }{\mathrm{64}}$ = 0.20.
0.20= $\frac{\mathrm{20} }{\mathrm{100}}$, reduce $\frac{\mathrm{20} }{\mathrm{100}}$ to $\frac{\mathrm{1} }{\mathrm{5}}$.

A bag contains twice as many red marbles as blue marbles, and the number of blue marbles is 88% of the number of green marbles. If g represents the number of green marbles, which of the following expressions represents the total number of marbles in the bag?

3.64g.

There are twice as many red marbles as blue marbles, so (red) = 2(blue).
The number of blue marbles is 88% of the number of green marbles, so (blue) = 0.88g.
Substitute this expression for blue marbles in the one above:
(red) = 2(0.88g)
(red) = 1.76g
The total number of marbles is equal to red plus blue plus green:
(red) + (blue) + 1g
1.76g + 0.88g + 1g = 3.64g

If 5 apples cost $2.00, how much will 15 apples cost?

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