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.