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sergij07 [2.7K]
3 years ago
11

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Length of a carton :

=  \frac{22}{3}  \: feet

Width of the carton :

=  \frac{11}{8}  \: feet

Height of the carton :

=  \frac{11}{5}  \: feet

Volume of the carton :

= Length × Width × Height

=  \frac{22}{3}  \times  \frac{11}{8}  \times  \frac{11}{5}

=   \frac{2622}{120}

\color{hotpink} =  21.85 \: feet

Therefore, the volume of the carton = 21.85 feet.

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162/(6(7-4)^2)
pemdas
parenthasees inner first
so 7-4 is forst
7-4=3
162/(6(3)^2)
then exponents
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8 0
3 years ago
About how much difference in average leaf width would you find in two forests whose average annual rainfalls are near 1500 mm bu
goblinko [34]

Answer:

4.80 mm to 2 d.p

Step-by-step explanation:

w = f(r)

f'(r) = (dw/dr) = (0.0218 mm/mm)

So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.

One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.

Mathematically,

(dw/dr) = (Δw/Δr) for very small Δw and Δr.

0.0218 = (Δw/220)

Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p

Hope this Helps!!!

5 0
3 years ago
10 increased by the quotient of a number and 6 is 15
Makovka662 [10]
<h2>Verbal Phrase to Mathematical Phrase</h2><h3>Answer:</h3>

10 +\frac{n}{6} = 15\\

<h3>Step-by-step explanation:</h3>

Let that number be n.

The quotient of a number and 6 is \frac{n}{6}\\.

"Increased" is just another term for "plus (+)" so 10 increased by The quotient of a number and 6 is 10 + \frac{n}{6}\\

And it tells us that it is 15 so it must be 10 +\frac{n}{6} = 15\\

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