Which of the following is the smallest prime number greater than 200?
A. 201.
B. 205.
C. 211.
D. 214.
A prime number is a number larger than 1 that
... [Show More] has only itself and 1 as factors.
(It can be evenly divided only by itself and by 1.) 201 is divisible by 3; 205 is
divisible by 5; 211, however, is a prime number
If 40% is equal to the fraction x/30, what is the value of x?
A. 0.4
B. 15
C. 1,200
D. 12
Change 40% to a decimal and write an equation to solve for x.
0.4 = x/30. Multiply both sides by 30. You are "undoing" the division.
The expression "5 factorial" equals
A. 125.
B. 120.
C. 25.
D. 10.
The product of all integers from 1 to x is called the x factorial. The product of all
numbers from 1 to 5 is 5 factorials. Thus
(5)(4)(3)(2)(1) = 20 (3)(2)(1)
= 60 (2)(1)
= 120 (1) = 120. The expression 5 factorial" is equal to 120
What is the result of subtracting 3x² - 5x - 1 from 8x² + 2x - 9?
A. 5x² - 3x - 10
B. -5x² - 3x - 10
C. 5x² +7x - 8
D. -5x² - 7x + 8
To subtract one polynomial from another, you change the signs of the terms in
the subtrahend. First write the example as a subtraction in arithmetic.
(From) 8x² + 2x - 9
(Take) – (3x² - 5x – 1)
Then change the signs of the terms in the bottom row (the subtrahend) and
combine terms that are alike.
8x² + 2x - 9
-3x² + 5x + 1
___________
5x² + 7x - 8
What is the meaning of the statement -30 < -5?
A. 30 is greater than 5.
B. 30 is less than minus 5.
C. Negative 30 is less than negative 5.
D. Negative 30 is greater than negative 5.
On the number line above, -5 is to the left of 0 and is, therefore, less than 0, but
-50 is to the left of -5. This makes -30 less than -5. The < sign is a symbol of
inequality, meaning "less than". The statement (-30 < -5) means "negative 30 is
less than negative 5."
Solve for x: 8x - 2 - 5x = 8.
A. x = 1.3
B. x = 2½
C. x = 3 and 1/3
D. x = -7
To solve for x, combine all similar terms, and set the equation equal to zero.
(8x - 5x) + (-2 - 8) = 0
Do the operations inside the parenthesis.
3x - 10 = 0
Next, add 10 to each side. You are undoing the subtraction.
3x - 10 + 10 = 0 + 10
3x = 10
Finally, divide each side by 3 to find the value of x> You are undoing the
multiplication.
John is paid $26.00 for 8 hours of work. How much should he be paid for
working 37 hours at the same hourly wage?
We must find out how much John is being paid for each hour he works. To do this
we divide the amount he had gained by the number of hours he worked.
26/8=3.25
$3.25perhour
Then we multiply by 37 to get the amount he has earned in 37 hours
3.25⋅37=120.25
He should be paid $120.25 for 37 hours of work
A woman has $500 in a bank account. Every week, she writes out a check
for $50. If she doesn't make any new deposits, what will her bank account
hold x weeks from now?
A. $500 + $50x
B. $500 - $50x
C. $500 - x
D. $500 + $50 + x
In x weeks, she will make out check’s tor x times $50, or $50x. To find out how
much she still has after writing these checks, she would subtract $50x from
$500. Thus, her bank account will hold $500 - $50x. [Show Less]