If $850 is deducted each month for 12 months from your checking account to pay your mortgage, what impact will it have on your checking account balance?
Responses
A $10,200$10,200
B $850$850
C -$10,200-$10,200
D -$850
The correct response is: C -$10,200-$10,200
How much pizza will each person get if 4 people share 3/4 of a pizza equally?
Responses
A 1/3
B 1/4
C 1/6
D 3/16
The correct response is: B 1/4
Convert 3 18/25 to a decimal using long division.
Responses
A 0.720.72
B 1.381.38
C 3.723.72
D 3.85
To convert 3 18/25 to a decimal using long division, we follow these steps:
Step 1: Divide the whole number (3) by the denominator (25):
3 ÷ 25 = 0.12 (quotient)
Step 2: Multiply the remainder (18) by 100 (to move the decimal point two places to the right):
18 × 100 = 1800 (new dividend)
Step 3: Divide the new dividend (1800) by the denominator (25):
1800 ÷ 25 = 72 (quotient)
Step 4: Combine the quotient from Step 1 (0.12) and the quotient from Step 3 (72):
0.12 + 72 = 72.12
Therefore, 3 18/25 as a decimal using long division is 72.12.
The correct response is: C 72.12
What is the quotient of −920 divided by 40? Which integer rule determines the sign of the quotient?
Responses
A 23; The quotient of integers with unlike signs is positive.23; The quotient of integers with unlike signs is positive.
B −23; The quotient of integers with unlike signs is negative.−23; The quotient of integers with unlike signs is negative.
C 23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater value.23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater value.
D −23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater absolute value.
To find the quotient of -920 divided by 40, we divide the absolute values of the numbers and then determine the sign.
|-920| ÷ |40| = 23
Since -920 and 40 have unlike signs, the quotient is negative.
Therefore, the correct response is B −23; The quotient of integers with unlike signs is negative.
Stan owns 45 of an acre of land. Of that, 2/3 of the land is fenced. How many acres of land is fenced?
Responses
A 1/3
B 2//3
C 2/9
D 6/15
E 8/15
To find out how many acres of land are fenced, we need to calculate 2/3 of 45 acres.
2/3 * 45 = (2/3) * (45/1) = (2*45)/(3*1) = 90/3 = 30
Therefore, 30 acres of land are fenced.
The correct response is not listed.
What is 7/8 ÷ 2?
To divide 7/8 by 2, we can multiply the numerator by the reciprocal of the denominator.
7/8 ÷ 2 = 7/8 * 1/2 = (7 * 1) / (8 * 2) = 7/16
Therefore, 7/8 ÷ 2 is equal to 7/16.
-84 by 7
To divide -84 by 7, we divide the absolute values of the numbers and then determine the sign.
|-84| ÷ |7| = 12
Since -84 and 7 have unlike signs, the quotient is negative.
Therefore, -84 ÷ 7 equals -12.
Twenty-four pencils are in a package. The students use 3/8 of the pencils. How many did they use?
Responses
A 8 pencils8 pencils
B 9 pencils9 pencils
C 12 pencils12 pencils
D 18 pencils
To find out how many pencils the students used, we need to calculate 3/8 of 24 pencils.
3/8 * 24 = (3/8) * (24/1) = (3*24)/(8*1) = 72/8 = 9
Therefore, the students used 9 pencils.
The correct response is B 9 pencils.
Find the product:
8(−2/7)(−1/2)
To find the product of 8, -2/7, and -1/2, we multiply them together:
8 * (-2/7) * (-1/2)
We can simplify this expression by canceling out common factors.
8 and -2 have a common factor of 2:
(8/1) * (-1/7) * (-1/2)
Now, we combine the numerators and the denominators:
= (-8/2) * (-1/7)
= -4 * (-1/7)
= 4/7
Therefore, the product of 8, -2/7, and -1/2 is 4/7.
8(−2/7)(−1/2)
A −4/7
B 4/17
C 7/4
D 8/7
Apologies for the incorrect response.
To find the product of 8, -2/7, and -1/2, we multiply them together:
8 * (-2/7) * (-1/2)
We can simplify this expression by canceling out common factors.
8 and -2 have a common factor of 2:
(4/1) * (1/7) * (1/2)
Multiplying the numerators gives us:
= 4 * 1 * 1
= 4
And multiplying the denominators gives us:
1 * 7 * 2 = 14
Therefore, the product of 8, -2/7, and -1/2 is 4/14, which simplifies to 2/7.
The correct response is not listed.