Answer:
As an improper fraction: 27 
As a mixed fraction: 
Step-by-step explanation:
Any number could be expressed as a fraction 27 is 
and since 0.43 is forty-three hundredths we can express it as .
To find the answer as a mixed fraction we have to put the whole number in the beginning and the fraction in the end. 27
As an improper fraction we have to add 27 / 1 + 43/100 =
The least common multiple of each pair of the polynomial (5y² - 80) and
(y + 4) is equal to 5(y-4)(y+4).
As given in the question,
Given pair of the polynomial is (5y² - 80) and (y + 4)
Simplify the given polynomial using (a² -b²) = (a-b)(a +b)
(5y² - 80) = 5(y² -16)
⇒(5y² - 80) = 5(y² - 4²)
⇒(5y² - 80) = 5(y -4)(y + 4)
And (y + 4) = (1) (y+4)
Least common multiple = 5(y-4)(y+ 4)
Therefore, the least common multiple of the given pair of the polynomial is 5(y -4)(y+ 4).
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Answer:
4.5 miles per hour is her rate in miles per hour
Step-by-step explanation:
We want to convert 20 ft per second to miles per hour
If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft
So convert 20/3 ft/second to miles per hour
Mathematically;
1 mile = 5280 feet
So one feet = 1/5280 mile
1 hour = 3600 seconds
1 second = 1/3600 hour
So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600
Hence; we have;
(20/3 * 1/5280)/1/3600
= 20/3 * 1/5280 * 3600/1
= 4.4545 which is 4.5 miles per hour
Answer:
62 square units
Step-by-step explanation:
The area of a rectangular prism is the sum of the areas of its six faces. Opposite faces have the same area, so it is the sum of 3 pairs of faces. The area of one face of each pair is the product of the dimensions of that face. Those three areas are ...
• L·W
• W·H
• H·L
so the total surface area is ...
A = 2(LW +WH +HL)
For hand calculation, this can be simplified a bit to ...
A = 2(LW +H(L+W)) . . . . . requires one less multiplication
For your prism, the area is ...
A = 2(5·2 + 3(5+2)) = 2(10 +21) = 62 . . . square units
Answer:
-11/30, -1/6, 2/5
Step-by-step explanation:
first, make the question in the same denominator
= 12/30, -5/30, -11/30
= -11/30, -5/30, 12/30
= -11/30, -1/6, 2/5
