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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 - 🧠ANSWER ✔✔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.
Which of the following is the smallest prime number greater than 200?
A. 201.
B. 205.
C. 211.
D. 214. - 🧠ANSWER ✔✔1. A prime number is a number larger than 1 that has
only itself and 1 as factors. (It can be evenly divided ony by itself and by 1.) 201 is
divisible by 3; 205 is divisible by 5; 211, however, is a prime number.
The expression "5 factorial" equals
A. 125.
B. 120.
C. 25.
D. 10. - 🧠ANSWER ✔✔. 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 factorial. 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 - 🧠ANSWER ✔✔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
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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. - 🧠ANSWER ✔✔C. Negative 30 is less
than negative 5...In deciding whether a number is greater of less than another, it
helps to use a number line.
-------.-------.-------.-------.-------.-------.-------.-------.------.------.------.------
__-30___-25__-20__-15__-10__-5____0___5___10__15___20
On the number line above, -5is 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