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You are taking a road trip and today will be driving through Arizona along a flat, straight highway. The scale on your map indicates that every \( \frac{7}{6} \) of an inch on the map represents 14 miles. Your goal is to travel 4 \( \frac{2}{3} \) inches on your map. If your odometer reads 50,862 miles right now, approximately what will it read when you arrive? Note: an odometer tells you how many miles your car has traveled.
A large bathtub is currently \( \frac{1}{6} \) full of water. After you add 45 more gallons of water, it will then be \( \frac{2}{3} \) full. What is the volume of the bathtub, in gallons?
The tenth graders at Central High School can choose between band, choir, and music history for their music elective (they can only take one). The ratio of tenth graders in band to all tenth graders is 17:45, and the ratio of tenth graders in choir to all tenth graders is 28:63. What is the ratio of tenth graders in music history to all tenth graders?
You are grounded and, out of boredom, are organizing your sock drawer. You notice that \( \frac{1}{6} \) of your pairs of socks are white, \( \frac{1}{3} \) are black, \( \frac{1}{4} \) are grey, and 6 pairs are multi-colored. How many pairs of your socks are grey?
For dinner, you ordered a pizza. If you ate \( \frac{1}{4} \) of it and your 2 sisters split the rest equally, what fraction of the pizza did each of your sisters get?
If a, b, and x are real numbers and k is the constant of proportionality, in which of the following equations does a vary directly with b and the square root of c as well as inversely with x?
In Tennessee, taxes on residential property are assessed at \( \frac{1}{4} \) of market value. In Shelby County, the tax rate is $1.49 for every $100 in assessed value (not market value). What is the yearly tax in dollars on a house with a market value of $98,000?
6 out of every 10 students at Central High School drive to school. 2 out of every 3 students who drive are seniors. If there are 560 students at Central High School, how many of them are seniors who drive to school?
You and two of your friends, Lauren and Eric, were in charge of selling the tickets for your school’s winter play. You sold \( \frac{1}{3} \) of the tickets, Lauren sold \( \frac{2}{5} \) of them, and Eric sold the rest. If Eric sold 60 tickets, how many tickets did the three of you sell altogether?
You are using at total of 4 yards of fabric for 3 sewing projects. To accomplish this, you need to cut your fabric into pieces with lengths in the ratio 3:2:4. If 1 yard is 3 feet, how many inches long will your longest piece of fabric be once you’ve cut it?
You are treasurer of your school’s community service club. \( \frac{2}{3} \) of the money the club has raised this year will be used for service projects, and \( \frac{1}{9} \) will be used to host a lunch at school. What fraction of the club’s budget is left for other uses?
What value of x makes the proportion below true?
\( \frac{9}{9+x} = \frac{21}{28} \)
You have 10 pink Starbursts, 10 yellow Starbursts, and 25 red Starbursts mixed together in a pile. How many more pink Starbursts would you need so that the probability of picking a pink one at random from your pile would be \( \frac{3}{10} \)?
Your chances of winning a prize from a claw machine in many states are 1 win for every 15 tries. If you win the claw game 3 times, and your ratio of wins to tries is exactly as predicted, how many times did you lose?
A lemonade recipe calls for cups of sugar, water, and lemon juice in the ratio 1.75 : 8 : 1.5, respectively. If you scaled the recipe proportionally, and the batch of lemonade you made had a total of 45 cups of ingredients, how many cups of lemon juice did you use?