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WITCHER [35]
3 years ago
6

A box spring in the shape of a rectangular prism has a length of a 40 in., a width of 80 in., and a height of 4 of 9 in. what is

the surface area of the box spring?
A) 8,560
B) 9,600
C) 19,200
D) 28,800​
Mathematics
1 answer:
gladu [14]3 years ago
7 0
19,200 ! To get the surface area of the rectangular prism you have to get the area of each side. Length x Width x Sides(6 in your case).
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To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.
AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x ----->  the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

y=\frac{3x}{0.014}

For x=25

substitute

y=\frac{3(25)}{0.014}

y=5,357\ bees

therefore

There are about 5,357 bees in the hive

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3 years ago
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Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a
Sedbober [7]

Answer:

The number of combinations will she have to analyze is  10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale.  The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes.  We calculate the number of combinations will she have to analyze.

C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10

The number of combinations will she have to analyze is  10.

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

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