Eleanor and Max used two Rectangular wooden boards to make a set for the school play one board was 6 feet long,And other was 5 1
/2 feet long the two boards had equal widths. The total area of the set was 60 3/8 square feet. what is the width
1 answer:
The total area is the product of length and width
... total area = (length1 × width) + (length2 × width)
... = (length1 + length2) × width
... 60 3/8 = (6 + 5 1/2) × width
... (60 3/8)/(11 1/2) = width = 5 1/4 . . . . feet
The width of the boards use for the set was 5 1/4 feet.
_____
A suitable calculator can give you this answer directly. Others may ask you to convert to or from decimal feet.
___
The method conventionally taught to do division with mixed numbers is to convert them to improper fractions:
... 60 3/8 = (60·8 +3)/8 = 483/8
... 11 1/2 = (11·2 + 1)/2 = 23/2
Then, invert the denominator and multiply:
... (483/8)/(23/2) = (483/8) × (2/23) = 483/(4·23)
... = 483/92 = 5 23/92 = 5 1/4 . . . . . . . . remembering that 92 = 4·23
_____
It isn't clear whether this is a problem about areas, or a problem about mixed-number arithmetic. It is a good idea to get comfortable with arithmetic using numbers in any form: integers, decimals, mixed numbers, fractions, percents.
You might be interested in
Answer:
the probability of no defects in 10 feet of steel = 0.1353
Step-by-step explanation:
GIven that:
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.
Let consider β to be the average value for defecting
So;
β = 2
Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.
Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2
i.e
the probability mass function can be represented as follows:
where;
y = 0,1,2,3 ...
Hence, the probability of no defects in 10 feet of steel
y = 0
P(y =0) = 0.1353