Find the product.
4/7 ( - 20/2)
- 2/35
5 5/7
-5 5/7
-9 3/7
To find the product, we multiply the fractions and the mixed numbers:
4/7 * (-20/2) = (-80/14) = -40/7
Then, we multiply the result with the mixed numbers:
-40/7 * 5 5/7 = -40/7 * 40/7 = -1600/49
Therefore, the product is -1600/49. The mixed number is not necessary since it is not asked for in the problem.
To find the product of fractions, you need to multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom). Here's how you can calculate the product of the given fractions:
1. Calculate the product of the numerators:
Numerator of the first fraction: 4 * (-20) = -80
Numerator of the second fraction: -2 * 35 = -70
Numerator of the third fraction: 5 * 7 + 5 = 40
Numerator of the fourth fraction: -5 * 7 + 5 = -30
Numerator of the fifth fraction: -9 * 7 + 3 = -60 + 3 = -57
2. Calculate the product of the denominators:
Denominator of the first fraction: 7 * 2 = 14
Denominator of the second fraction: 35
Denominator of the third fraction: 7
Denominator of the fourth fraction: 7
Denominator of the fifth fraction: 7
3. Combine the numerators and denominators to form the product fractions:
Product of the first fraction: -80/14 = -40/7
Product of the second fraction: -70/35 = -2
Product of the third fraction: 40/7
Product of the fourth fraction: -30/7
Product of the fifth fraction: -57/7
So, the products are:
-40/7, -2, 40/7, -30/7, and -57/7
To find the product of the given expression, we multiply the fractions and then multiply the result by the whole number.
First, let's simplify the expression:
4/7 * (-20/2) = (4 * -20) / (7 * 2) = -80/14
Now, let's convert the mixed numbers to improper fractions:
5 5/7 = (7 * 5 + 5) / 7 = 40/7
-5 5/7 = (7 * -5 + 5) / 7 = -40/7
-9 3/7 = (7 * -9 + 3) / 7 = -60/7
Finally, to find the product, we multiply the simplified expression by each whole number:
-80/14 * (-2/35) = (-80 * -2) / (14 * 35) = 160/4900
160/4900 * 40/7 = (160 * 40) / (4900 * 7) = 6400/34300
6400/34300 * -40/7 = (6400 * -40) / (34300 * 7) = -256000/2401000
-256000/2401000 * -60/7 = (-256000 * -60) / (2401000 * 7) = 15360000/16807000
Therefore, the product of the given expression is 15360000/16807000.
The elevation of the basement floor in a building id -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?
22 feet
-52 feet
37 feet
52 feet
To find the distance from the basement floor to the roof, we subtract the elevation of the basement floor from the elevation of the roof.
37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet.