A worker in a factory earns $10 an hour. The worker works 10 hours a day for 10 days straight before a vacation. How much money did the worker earn before going on vacation?(1 point)
Responses
$310
$ 3 superscript 10 baseline
$103
$ 10 superscript 3 baseline
$101
$ 10 superscript 1 baseline
$102
$ 10 squared
To find out how much money the worker earned before going on vacation, we need to multiply the worker's hourly wage by the number of hours worked.
Hourly wage: $10
Number of hours worked: 10 hours/day * 10 days = 100 hours
Total earnings = Hourly wage * Number of hours worked
Total earnings = $10/hour * 100 hours
Total earnings = $1000
Therefore, the worker earned $1000 before going on vacation.
The correct answer is $1000.
A worker in a factory earns $10 an hour. The worker works 10 hours a day for 10 days straight before a vacation. How much money did the worker earn before going on vacation?(1 point)
Responses
$3^10
$10^3
$10^1
$10^2
3 raised to what power is equal to 81?(1 point)
3 raised to the power of 4 is equal to 81.
3^4 = 81
What are the variables in the equation y=3x−4?(1 point)
Responses
3 and 4
3 and 4
x and y
x and y
x only
x only
y only
The variables in the equation y = 3x - 4 are x and y.
A sign is being painted that includes 3 small squares with a side length of s and 2 large ones with a side length of S. Write an expression to find the total area of the sign that needs to be painted.(1 point)
Responses
2S2−3s2
2 upper S squared minus 3 s squared
3S2+2s2
3 upper S squared plus 2 s squared
2S2+3s2
2 upper S squared plus 3 s squared
3S2−2s2
To find the total area of the sign that needs to be painted, we need to calculate the sum of the areas of the small squares and the large squares.
The area of a square can be found by squaring the length of one side.
Area of 3 small squares: 3s^2
Area of 2 large squares: 2S^2
Total area of the sign = Area of small squares + Area of large squares
Total area of the sign = 3s^2 + 2S^2
Therefore, the expression to find the total area of the sign that needs to be painted is 3s^2 + 2S^2.
The correct answer is 3s^2 + 2S^2.
Evaluate the expression at specific values of their variables.(1 point)
Evaluate a5 − bc + 4a ÷ c when a = 2, b = 3, and c = 8
To evaluate the expression a^5 - bc + 4a ÷ c when a = 2, b = 3, and c = 8, we substitute the given values into the expression and perform the calculations.
a^5 - bc + 4a ÷ c
(2)^5 - (3)(8) + 4(2) ÷ 8
32 - 24 + 8 ÷ 8
32 - 24 + 1
8 + 1
9
Therefore, when a = 2, b = 3, and c = 8, the expression evaluates to 9.
The answer is 9.