Answer:
The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...
Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..
x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...
If 6x = 60 inches then
x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.
The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.
Step-by-step explanation:
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The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th
Step-by-step explanation:
Let us revise some fact about the product of two numbers
- If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
- If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)
We need to select all the expressions with a product less than 2/3
∵ 4 and 1/8 × 2/3
- 4 and 1/8 means mixed number 
∵
> 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
×
> 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
∵
× 2
∵ 2 > 1
- That means the product of it and 2/3 will be greater than 2/3
as the first fact above
∴
× 2 > 
∵
× 
∵
is between 0 and 1
- That means the product of it and 2/3 will be less than 2/3
as the second fact above
∴
×
< 
The expressions with a product less than 2/3 are:
2/3 × 2/3 and 5/6 × 2/3
Learn more:
You can learn more about the fractions in brainly.com/question/1312102
#LearnwithBrainly
Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.
now, if we just get the whole area of the containing parallelogram and then <u>get the area of the triangle and subtract it from that of the parallelogram's,</u> what's leftover is the area we didn't subtract, the shadead area.

The rate in feet per second is 4.4.