A new phone costs $800. Margaret has insurance on her phone that covers 73% of the cost of a new phone if something happens. If her phone is stolen or broken, how much will she have to pay for a new phone?

Solve: 68.567 – 13 – 2.43 = ________.

53.137

Step 1: Line up the numbers by their decimal point.
68.567 – 13 – 2.43
Would look like this:
68.567
13
– 2.43
Now all of our place values are lined up.
Step 2: Fill in any empty spots with a placeholder zero.
68.567
13.000
–02.430
Step 3: Subtract like normal.
68.567
13.000
–02.430
53.137
68.567 – 13 – 2.43 is equal to 53.137.

In an algebraic equation m represents a car's average mileage in miles per gallon, p represents the price of gas in dollars per gallon, and d represents a distance in miles. Which algebraic equation represents the cost (c) of gas per mile?

$c=\frac{p}{m}$

The cost per mile is represented by cost per gallon divided by miles per gallon.

There are 450 students in the tenth grade. Of these, 46% are boys. If 21% of the girls have already turned 16, which of the following is the number of girls in the tenth grade who are 16?

51

Subtract the percentage of boys from 100% to find the percentage of girls:
100% − 46% = 54%
Find 21% of 54% of 450:
0.21 × 0.54 × 450 ≈ 51

Jessie leaves her home and rides her bike 12 miles south and then 16 miles east. She then takes the shortest possible route back home. What was the total distance she traveled?

48 miles.

Use the Pythagorean theorem to find the distance she traveled from her final point back to her home:
$a^2 + b^2 = c^2$
$12^2 + 16^2 = c^2$
$144 + 256 = c^2$
$400 = c^2$
c = 20
Finally, add the three legs to find the total distance she traveled:
12 + 16 + 20 = 48 miles

Marry has a plant that is 218 centimeters (cm) tall. What is its height in meters (m)?

2.18

Remember that centi means “one hundred” so there are 100 centimeters in 1 meter.
To convert from centimeters (cm) into meters (m), we divide the number of centimeters (cm) by 100.
218 cm/100 = 2.18 m
The height of the plant is 2.18 m.

Evaluate the expression $\frac{4x}{x-1}$ when x = 5.

5

Substitute 5 for x:
$4(5) ÷ (5 − 1) = 20 ÷ 4 = 5$

7×4+(9−6)+13 = _________.

44

According to the order of operations, do what is inside the parenthesis first:
7×4+(3)+13
Next, move left to right, doing any multiplication or division:
28+3+13
Finally, move left to right, doing any addition or subtraction:
31+13=44

A toy manufacturer makes 15,000 toys a year. The company randomly selects 300 of the toys to sample for inspection. The company discovers that there are 5 faulty toys in the sample. Based on the sample, how many of the 15,000 total toys are LIKELY to be faulty?

250

The sample indicates that 5 out of every 300 randomly selected toys will be faulty. Consequently, a proportion can be set up that relates the unknown number of faulty toys in the total number of toys to the ratio of faulty toys to the sample: $ \frac{\mathrm{5} }{\mathrm{300}} = \frac{\mathrm{T} }{\mathrm{15000}} $
T is the unknown number of faulty toys in the total. Multiply both sides by 15,000 and then divide the left side by 300 to solve for T: $\frac{\mathrm{15000 \times 5} }{\mathrm{300}} = T$
$\frac{\mathrm{50 \times 5} }{\mathrm{1}} = T = 250$

What degrees Fahrenheit is it at 30 degrees Celsius?
Note: °F=°C*$\frac{9}{5}$+32

86

Plug in °C = 30 into the given formula and solve for °F:

°F=°C*$\frac{9}{5}$+32

°F=30*$\frac{9}{5}$+32

°F=54+32

°F=86

25% of 400 = _________.

100

(400 x .25) = 100

A car traveled at 65 miles per hour for $1\frac{1}{2}$ hours and then traveled at 50 miles per hour for $2\frac{1}{2}$ hours. How many miles did the car travel?

222.5 miles.

Multiply the car’s speed by the time traveled to find the distance.
1.5(65) = 97.5 miles
2.5(50) = 125 miles
97.5 + 125 = 222.5 miles

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

18

30 gallons x 3/5 = 18

Solve for x:
3(x − 4) = 18

x = 10

This is a basic algebra problem where you are need to solve for a variable. To solve this, first divide both sides by 3:
3(x − 4) = 18
x − 4 = 18/3
x − 4 = 6
Then solve for x:
x − 4 = 6
x = 6 + 4
x = 10

Express 3.2 meters as a percentage of 4 meters.

80%

3.2/4 * 100=80%

A new phone costs $800. Margaret has insurance on her phone that covers 73% of the cost of a new phone if something happens. If her phone is stolen or broken, how much will she have to pay for a new phone?

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