Question

3x - 7y = 4
Question 2 options:

A) y = , or y =


B) y = , or y =


C) y = , or y =


D) y = , or y =

Answer 1

Perform the indicated operation. Write the answer without exponents.

(7 × 10-2) × (2 × 105) × (2 × 103)
Question 6 options:

A)

28,000,000

B)

28 × 10^6

C)

2,800,000

D)

28 × 10^-30

Answer 2

But it wants the answer without exponents

Answer 3

Convert as indicated.

4.9 ft to centimeters

Answer 4

Answers:


A)

12.4 cm

B)

147 cm

C)

124.5 cm

D)

192.9 cm

Answer 5

Use a proportion to solve the problem.

The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 177 yards with a 7-iron, how far should he average with a 5-iron?
Question 9 options:

A)

166 yards

B)

212.4 yards

C)

148 yards

D)

188 yards

Answer 6

Solve the problem.

Andrea's sleeping bag is designed for camping in temperatures of -3°C or warmer. For what Fahrenheit temperatures is her sleeping bag designed? Round to the nearest tenth of a degree.
Question 10 options:

A) 26.6° F or warmer


B) 52.2° F or warmer


C) -19.4° F or warmer


D) -33.7° F or warmer

Answer 7

Solve the problem.

Matthew has $5500 invested in the stock market. This amounts to 10% of his total savings. How much has Matthew saved?
Question 11 options:

A) $55,010


B) $550,000


C) $55,000


D) $55,100

Answer 8

Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for π. Round your results to the nearest tenth.

d = 33 yd
Question 12 options:

A) 51.8 yd; 3419.5 yd2


B) 103.6 yd; 854.9 yd2


C) 103.6 yd; 103.6 yd2


D) 51.8 yd; 207.2 yd2

Answer 9

Solve the problem. Round to the nearest tenth if necessary.

Last year, Maria earned $343 per week. This year, her salary increased to $379 per week. What is the percent of increase?
Question 13 options:

A)

89.5%

B)

10.5%

C)

9.5%

D)

90.5%

Answer 10

Evaluate the arithmetic expression by performing the operations in the appropriate order.

24 ÷ 4 ∙ (12 - 6)
Question 15 options:

A)

66

B)

36

C)

108

D)

78

Answer 11

Find the volume of the specified solid. Use 3.14 as the approximate value of π, and round your answer to the nearest whole number.

A cone with height 9 cm and diameter 4 cm
Question 18 options:

A)

38 cm^3

B)

151 cm^3

C)

75 cm^3

D)

226 cm^3

Answer 12

To solve this equation, we need to isolate the variable y.

Start by subtracting 3x from both sides of the equation:
-7y = -3x + 4

Next, divide both sides of the equation by -7 to solve for y:
y = (-3x + 4) / -7

Therefore, the answer is y = (-3x + 4) / -7.

So, the correct option is:

C) y = (-3x + 4) / -7, or y = -3x/7 + 4/7.

Answer 13

To perform the indicated operation, we can multiply the numbers together and add the exponents of 10.

(7 × 10^(-2)) × (2 × 10^(5)) × (2 × 10^(3))

First, multiply the numbers together:

(7 × 2 × 2) × (10^(-2) × 10^(5) × 10^(3))

= 28 × (10^(-2+5+3))

= 28 × 10^(6)

Therefore, the answer is:

B) 28 × 10^6

Answer 14

I apologize for the confusion. To write the answer without exponents, we can convert it to a decimal form.

Recall that 10^6 means moving the decimal point 6 places to the right. Therefore, we can rewrite the answer as:

B) 28,000,000

Answer 15

To convert from feet to centimeters, we need to use the conversion factor 1 ft = 30.48 cm.

So, to convert 4.9 ft to centimeters, we can multiply 4.9 by the conversion factor:

4.9 ft * 30.48 cm/1 ft = 149.352 cm

Therefore, 4.9 ft is equal to 149.352 cm.

Answer 16

The correct answer is:

C) 124.5 cm

Answer 17

To solve this problem using a proportion, we can set up the following ratio:

7-iron distance / 5-iron distance = 5/6

Let's denote the unknown 5-iron distance as x. We are given that the 7-iron distance is 177 yards.

So, we can set up the proportion:

177 / x = 5 / 6

To solve for x, we can cross-multiply:

6 * 177 = 5 * x

1062 = 5x

Next, divide both sides by 5:

x = 1062 / 5

x = 212.4 yards

Therefore, the golfer should average 212.4 yards with a 5-iron.

So, the correct option is:

B) 212.4 yards

Answer 18

To convert from Celsius to Fahrenheit, we can use the formula:

°F = (°C * 9/5) + 32

We are given that Andrea's sleeping bag is designed for temperatures of -3°C or warmer. Plugging -3°C into the formula, we get:

°F = (-3 * 9/5) + 32

°F = (-27/5) + 32

°F = -5.4 + 32

°F = 26.6

Therefore, Andrea's sleeping bag is designed for temperatures of 26.6°F or warmer.

So, the correct option is:

A) 26.6°F or warmer

Answer 19

Let's denote the total savings of Matthew as x. We are given that $5500 represents 10% of his total savings, so we can set up the equation:

10% of x = $5500

To solve for x, we can start by converting 10% to a decimal by dividing by 100:

0.10 * x = $5500

Next, we can solve for x by dividing both sides of the equation by 0.10:

x = $5500 / 0.10

x = $55,000

Therefore, Matthew has saved $55,000.

So, the correct option is:

C) $55,000

Answer 20

The formula for the circumference of a circle is C = π * d, where d is the diameter. To find the area of a circle, we use the formula A = π * r^2, where r is the radius (which is half the diameter).

Given that the diameter is 33 yd, we can calculate:

Circumference = π * d = 3.14 * 33 = 103.62 yd (rounded to the nearest tenth)

Radius = d / 2 = 33 / 2 = 16.5 yd

Area = π * r^2 = 3.14 * (16.5^2) = 854.91 yd^2 (rounded to the nearest tenth)

Therefore, the correct option is:

B) 103.6 yd; 854.9 yd^2

Answer 21

To find the percent increase, we can use the formula:

Percent Increase = (New Value - Old Value) / Old Value * 100

Given that Maria's old salary was $343 per week and her new salary is $379 per week, we can calculate the percent increase:

Percent Increase = (379 - 343) / 343 * 100

Percent Increase = 36 / 343 * 100

Percent Increase ≈ 10.5%

Therefore, the correct option is:

B) 10.5%

Answer 22

To evaluate the arithmetic expression by performing the operations in the appropriate order, we need to use the order of operations (also known as PEMDAS).

First, we need to evaluate the parentheses:

12 - 6 = 6

Next, we need to perform the division:

24 ÷ 4 = 6

Finally, we need to perform the multiplication:

6 ∙ 6 = 36

Therefore, the answer is:

B) 36

Answer 23

The volume of a cone can be calculated using the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height.

Given that the diameter is 4 cm, we can find the radius by dividing the diameter by 2:

r = 4 cm / 2 = 2 cm

Next, we can substitute the values into the formula:

V = (1/3) * 3.14 * (2 cm)^2 * 9 cm

V ≈ (1/3) * 3.14 * 4 cm^2 * 9 cm

V ≈ 12.56 cm^2 * 9 cm

V ≈ 113.04 cm^3

Rounding to the nearest whole number, we have:

V ≈ 113 cm^3

Therefore, the correct option is:

None of the given options are correct.