Answer:
26.4= 26 2/5 millimeters
Step-by-step explanation:
All you do for this problem is see how many times 1/3 goes into 1. Since 1 means a full load of dishes. Which is three times. So you also do 8 4/5 times three too to get your answer.
The dimensions of the package of maximum volume that can be sent are 20 inches by 40 inches.
Let us represent the length of the square cross-section of the postal package with x, and the width of the package with y.
So, the perimeter is given by the equation -
y + 4x = 120
y = 120-4x -----------(1)
the volume will be
V =
-----------(2)
Now, substitute (1) in (2), and we get,
V =
(120-4x)
V = 120
- 4
Differentiating with respect to x, we get,
V' = 240x - 12
V'=0
hence, 240x - 12
= 0
12
= 240x
dividing by 120x on both sides,
hence, x=20
Now, we know that,
y = 120 - 4x
y = 120-4(20)
y = 120-80
y=40
Hence, the dimensions that maximize the volume of the package are 20 inches by 40 inches.
Read more about maximum volumes:
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Answer:
7 1/12 bushels of sweet corn per acre of land
Step-by-step explanation:
Total bushels of sweet corn harvested this year fewer than the previous year = 21 1/4
Total acres of land used to plant = 3 acres
what is the average loss per acre?
Average loss = Total bushels of sweet corn harvested for the year / 3 acres
= 21 1/4 ÷ 3
= 85/4 ÷ 3
= 85/4 × 1/3
= 85 / 12
= 7 1/12
Average loss = 7 1/2 bushels of sweet corn per acre of land
Hope this helps. Tell me if you can't read my handwriting.
Answer:
$4080 / 30days
Step-by-step explanation:
In 7 days, Kendall earns $952
In 1 day, she will earn $952 ÷ 7 = $136
Therefore, the rate (r) at which she earns is $136/day. i.e
r = $136/day ---------------(i)
To write the rate as a fraction with 30 in the denominator, we multiply both the numerator and denominator of equation (i) by 30 as follows;
r = $(136x30) / 30 day
r = $4080/30days