Standing next to each other, a woman who is 66 inches tall and her daughter casts shadows that are 85.8 inches and 52 inches, respectively. What is the height of the daughter, to the nearest inch?
40 in.
100
Simplify (e^3)^6
e^18
200
Find the mean of the average daily temperature in degrees Celsius to the nearest tenth if necessary: –4, –2, 0, 5, –6, –2, 10, 4, 22
3
200
Simplify the expression –3 – 6(4 + x) + 5x.
-27 -1x
200
Find –2/3 ÷ (–2/9). Write the answer in simplest form.
3
200
Solve 11/4 = b/5. If necessary, round to the nearest hundredth.
13.75
200
Write 3.72 × 10^5 in standard form.
372,000
300
Evaluate x^2 – 3x – 5 when x = 8.
35
300
Solve the inequality –9p > –27
p < 3
300
What is 60/72 in simplest form?
5/6
300
Find the percent of change from 32 to 40.
25%
300
Simplify k^–12
1/k^12
400
Simplify the expression (–6) + 9 + (–6).
-3
400
Write an inequality to model the situation: at most, 11 people applied.
a ≤ 11
400
Evaluate (a - b)/(a + b) for a = 4 and b = –3. Write your answer as a mixed number or fraction in simplest form.
7
400
The sales tax rate in one state is 6.25%. Find the total amount paid for a pair of pants with a listed price of $43.
$45.69
400
Write 643,000 in scientific notation.
6.43 x 10^5
500
Evaluate a – b + c for a = 12, b = –8, and c = –5.
15
500
The sum of three times a number h plus the product of the number h and 5 is 64. What is the number?
8
500
Solve x – 5/11 = 1/6. Write the answer as a mixed number or as a fraction in simplest form.
41/66
500
Find the sale price if the regular price is $16 and the percent of discount is 15%. Round to the nearest cent.
$13.60
500
Multiply (1.3 × 10^5)(3 × 10^9). Write the result in scientific notation.