Evaluate. (x + 4). 2 - x for x = 6 54 74 0 14
1 answer:
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9514 1404 393
Answer:
41 13/40
Step-by-step explanation:
Generally, you're told to multiply mixed numbers by converting each to an improper fraction:
5 7/10 = (5·10 +7)/10 = 57/10
7 4/16 = (7·16 +4)/16 = 116/16
The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.
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You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).
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<em>Alternate solution</em>
You can also treat this as the product of two sums. The distributive property is handy for this.
(5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)
= 35 +5/4 +49/10 +7/40
= 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts
= 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator
= 40 +53/40 = 41 13/40
Answer:
<u>15 miles</u>
Step-by-step explanation:
The rectangular walking path has vertices at (-4,5), (1,5), (-4,-5) and (1,-5).
See the attached figure.
The length of the walking path = the perimeter of the rectangle
As shown, The rectangle has length of 10 units and width of 5 units
So, the perimeter = 2 ( length + width ) = 2(10+5) = 2 + 15 = 30 units
Given: 1 unit² = (1/4) mile²
so, 1 unit = √(1/4) mile = (1/2) mile
so, the the walking path = 30 units = 30 * 1/2 = 15 miles
So, the length of waking path = 15 miles
