Multiply −1.7
by 2 1/2
. Write the answer as a mixed number in simplest form.
The contestant loses $12.50 for each wrong answer. Since the contestant has answered 6 questions wrong, we can calculate the total amount lost:
$12.50 * 6 = $75
Therefore, the contestant's balance of prize money is −$75.00.
When a positive integer is divided by a negative integer, the quotient will always be negative.
To find the quotient of −78.42 ÷ −1.5, we can divide −78.42 by −1.5:
−78.42 ÷ −1.5 = 52.28.
Therefore, the quotient is 52.28.
To divide −7/8 by −1/5, we need to invert the divisor and multiply:
(−7/8) ÷ (−1/5) = (−7/8) * (−5/1) = 35/8.
Therefore, the quotient is 35/8, which can also be written as 4 3/8.
To convert 0.80 to a fraction, we can write it as 80/100 and simplify it:
80/100 = 8/10.
The simplest form of 8/10 is 4/5.
Therefore, 0.80 is equivalent to 4/5 in simplest form.
To convert 12/30 to a decimal using long division, we divide 12 by 30:
0.4
__________
30 | 12.00
To begin, we ask, "How many times does 30 go into 12?" The answer is 0. So, we bring the decimal point down and add a zero after the decimal point:
0.4
__________
30 | 12.00
- (0)
Next, we ask, "How many times does 30 go into 120?" The answer is 4 since 30 * 4 = 120. We put this quotient (4) above the subtraction line and multiply it by 30, writing the product below 120:
0.4
__________
30 | 12.00
- 08
___________
40
Now, we subtract 40 from 120, which gives us 80. We bring down the next zero and ask, "How many times does 30 go into 800?" The answer is 26 since 30 * 26 = 780:
0.4
__________
30 | 12.00
- 08
___________
40
- 30
___________
100
- 92
___________
80
- 78
___________
20
- 20
___________
0
Since there is no remainder and no more digits to bring down, the long division process ends here. Therefore, 12/30 is equal to 0.4 in decimal form.
Thus, the correct answer is 0.4.
To convert 6 7/20 to a decimal using long division, we start by writing the mixed number as an improper fraction:
6 7/20 = (6 * 20 + 7) / 20 = 127/20
Now, we can perform long division:
6.35 (quotient)
-----------
20) 127.00 (dividend)
We begin by asking, "How many times does 20 go into 127?" The answer is 6 since 20 * 6 = 120. We write this quotient (6) above the division bar and multiply it by 20, writing the result (120) below the dividend. We subtract 120 from 127, which leaves us with 7:
6.35 (quotient)
-----------
20) 127.00 (dividend)
-120
-----------
700
Next, we bring down the next digit (0) from the dividend and ask, "How many times does 20 go into 70?" The answer is 3 since 20 * 3 = 60. We write this quotient (3) above the division bar and multiply it by 20, writing the result (60) below the previous subtraction. We subtract 60 from 70, which leaves us with a remainder of 10:
6.35 (quotient)
-----------
20) 127.00 (dividend)
-120
-----------
70
- 60
-----------
100
Since we have a remainder of 10, we bring down the next digit (0) from the dividend and continue the process. We ask, "How many times does 20 go into 100?" The answer is 5 since 20 * 5 = 100. We write this quotient (5) above the division bar and multiply it by 20, writing the result (100) below the previous subtraction. We subtract 100 from 100, which leaves us with no remainder:
6.35 (quotient)
-----------
20) 127.00 (dividend)
-120
-----------
70
- 60
-----------
100
- 100
-----------
0
Since there is no remainder and no more digits to bring down, the long division process ends here. Therefore, 6 7/20 is equal to 6.35 in decimal form.
Thus, the correct answer is 6.35.
To find the price change per day, we divide the total decrease in price ($21.50) by the number of days (5):
$21.50 ÷ 5 = $4.30
Therefore, the price is changing by $4.30 per day.
The fact you can use to convince your friend is the Commutative Property of Multiplication, which says that changing the order in which you multiply the factors does not change the answer. This means that you can rearrange the order of the numbers being multiplied without affecting the final result.
To find out how many calls each volunteer has to make, we can divide the total number of calls (280) by the total number of volunteers (4 groups of 7, which is 28 volunteers in total):
280 ÷ 28 = 10
Therefore, each volunteer has to make 10 calls to reach the goal.
To multiply −1.7 by 2 1/2, we can first convert 2 1/2 to an improper fraction:
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Then, we can multiply −1.7 and 5/2:
−1.7 * 5/2 = (−1.7 * 5) / 2 = −8.5 / 2
To express the answer as a mixed number in simplest form, we can divide the numerator by the denominator:
−8.5 / 2 = −4.25
Thus, the answer is −4.25, expressed as a mixed number in simplest form.
Multiply −9 1/2
by 0.04.(1 point)
Responses
−0.368
negative 0.368
0.38
0.38
−0.038
negative 0.038
−0.38
To multiply −9 1/2 by 0.04, we can first convert −9 1/2 to an improper fraction:
−9 1/2 = (−9 * 2 + 1) / 2 = -19/2
Then, we can multiply −19/2 by 0.04:
(−19/2) * 0.04 = −19 * 0.04 / 2 = −0.76 / 2 = −0.38
Thus, the correct answer is −0.38.
At the fish counter, salmon was selling for $9.60 a pound, whitefish for $7.20 a pound, swordfish for $8.40 a pound, and haddock for $6.90 a pound. Sasha bought 3/4
lb. of fish for $5.40. What fish did he choose?(1 point)
Responses
swordfish
swordfish
salmon
salmon
whitefish
whitefish
haddock
haddock
To determine what type of fish Sasha bought, we need to look at the price and the amount of fish he purchased.
Given that Sasha spent $5.40 and bought 3/4 lb of fish, we can divide the total spent by the weight of the fish to find the price per pound.
$5.40 ÷ 3/4 = ($5.40 ÷ 1) ÷ (3 ÷ 4) = $5.40 ÷ 3/4 = $5.40 * 4/3 = $7.20
We find that the price per pound is $7.20. Looking at the given prices for each type of fish, we see that the whitefish is the only one that matches this price.
Therefore, the fish Sasha chose is whitefish.
n a quiz show, a contestant loses $12.50 in prize money for each wrong answer. One contestant has answered no questions right and 6 questions wrong. What is his balance of prize money?(1 point)
Responses
−$75.00
negative $75.00
$75.00
$75.00
−$72.50
negative $72.50
−$72.00
negative $72.00
When a positive integer is divided by a negative integer, what sign does the quotient have?(1 point)
Responses
negative if the sum of the dividend and the divisor is less than 0, positive otherwise
negative if the sum of the dividend and the divisor is less than 0, positive otherwise
always positive
always positive
positive if the sum of the dividend and the divisor is greater than 0, negative otherwise
positive if the sum of the dividend and the divisor is greater than 0, negative otherwise
always negative
always negative
What is the quotient of −78.42 ÷ −1.5
?(1 point)
Responses
52.28
52.28
5.228
5.228
522.8
522.8
−52.28
What is the quotient when you divide − 7/8
by − 1/5
?(1 point)
Responses
740
Start Fraction 7 over 40 End Fraction
438
4 Start Fraction 3 over 8 End Fraction
−438
negative 4 Start Fraction 3 over 8 End Fraction
557
What is 0.80 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
8/1000
Start Fraction 8 over 1000 End Fraction
8/10
Start Fraction 8 over 10 End Fraction
4/5
Start Fraction 4 over 5 End Fraction
8
Use long division to convert 12/30
to a decimal.(1 point)
Responses
2.5
2.5
0.4
0.4
4
4
12.3
12.3
Use long division to convert 6 7/20
to a decimal.(1 point)
Responses
6.72
6.72
6.285714
6.285714
6.35
6.35
0.35
0.35
The price of a jacket has decreased $21.50 in equal daily increments over the last 5 days. How much is the price changing per day? (Round to the nearest hundredth.)(1 point)
Responses
$4.30
$4.30
$0.23
$0.23
−$4.30
negative 4.30 dollars
−$0.23
You and your friend are trying to solve this problem:
(−4)×(57)×(−34)×(715)
Your friend says the best strategy is to do each operation in order from left to right following the order of operations. You see that changing the order of the numbers being multiplied will make the problem simpler. What fact can you use to convince your friend that your method is a valid way to solve the problem?
(1 point)
Responses
The Associative Property of Multiplication says that the way factors are grouped in a multiplication problem does not change the answer; a×(b×c)=(a×b)×c
.
The Associative Property of Multiplication says that the way factors are grouped in a multiplication problem does not change the answer; a times left parenthesis b times c right parenthesis equals left parenthesis a times b right parenthesis times c .
It is impossible to multiply the numbers in their current order.
It is impossible to multiply the numbers in their current order.
The Commutative Property of Multiplication says that changing the order in which you multiply the factors does not change the answer; a×b=b×a
.
The Commutative Property of Multiplication says that changing the order in which you multiply the factors does not change the answer; a times b equals b times a .
The order of operations can be ignored when multiplying.
The order of operations can be ignored when multiplying.
A volunteer group wants to make 280 calls. If the calls are distributed evenly to 4 groups of 7 volunteers, how many calls does each volunteer have to make to reach the goal?(1 point)
Responses
367.5
367.5
−10
negative 10
120
120
10