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AfilCa [17]
3 years ago
9

A mail carrier delivered mail to 84 houses and 3 hours at what rate did the mail carrier deliver the mail?​

Mathematics
2 answers:
koban [17]3 years ago
8 0

Answer:

28 houses per hour

Step-by-step explanation:

84/3 28

alexira [117]3 years ago
6 0

the rate is 28

Step-by-step explanation:

84 divided by 3

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8 million 3 hundred sixty-four thousand nine hundred eighty-seven
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3 years ago
The sum of 2 numbers is 22. three times one number is equal to ten more than the other. find the numbers
qwelly [4]
Translating that problem into an equation with x as a variable we get 3x + x +10 = 22. Combine like terms to get 4x + 10 = 22. Subtract 10 on both sides to get 4x = 12. Divide by 4 on both sides to get x = 3. 

Now to plug in. The first number was represented by 3x. So substituting 3 for the x we get 3(3) = 9. And again for the second number represented by x+10, 3+10 = 13. 

Your numbers are 9 and 13. To check just add them together. 13 + 9 is 22, I'll save ya the effort. 
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3 years ago
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Step-by-step explanation:

6 0
3 years ago
A box is to be constructed from a sheet of cardboard that is 20 cm by 50 cm by cutting out squares of length x by x from each co
Nezavi [6.7K]

We are given the dimensions of the box:

l = 50 cm

w = 20 cm

 

We know that the volume of a box is:

V = l w h

where h = x

 

However since x cuts is made on both all sides of the box, therefore the new dimensions would be:

V = (l – 2x) (w – 2x) x

V = (50 – 2x) (20 – 2x) x

V = 1000x – 100x^2 – 40x^2 + 4x^3

V = 4x^3 – 140x^2 + 1000x

 

<span>To get the maxima value, we get the 1st derivative of the function then set dV/dx = 0 to solve for x:</span>

dV / dx = 12x^2 – 280x + 1000

12x^2 – 280x + 1000 = 0

Transpose 1000 to the right side and divide everything by 12:

x^2 – (280/12)x = -(1000/12)

Completing the square:

x^2 – (280/12)x + (78400/576) = -(1000/12) + (78400/576)

[x – (280/24)]^2 = 52.78

x – (280/24) = ±7.26

<span>x =  (280/24) ± 7.26</span>

x = 4.40, 18.93

x cannot be 18.93 since this would result in a negative value of 20 – 2x, therefore:

x = 4.40 cm

 

Calculating for the volume:

V = (50 – 2*4.4) (20 – 2*4.4) (4.4)

<span>V = 2030.34 cm^3</span>

4 0
3 years ago
Which is equivalent to ?​
hodyreva [135]

Answer:

A

Step-by-step explanation:

3 0
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