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marta [7]
3 years ago
14

Solve the following equation. Then place the correct number in the box provided.

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Simplify. Combine like terms

3 + x + 1 = 2

x + 4 = 2

Note the equal sign. What you do to one side, you do to the other. Isolate the x. Subtract 4 from both sides

x + 4 (-4) = 2 (-4)

x = 2 - 4

Simplify

x = -2

-2 is your answer for x

hope this helps

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Answer:

The sheet should be turned up 7.5cm on each side to obtain maximum volume.

Step-by-step explanation:

If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.

Height of eaves trough = x cm

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We know that Volume is given by:

V = Length · Width · Height

V = (x)(30 - 2x)(600)

V = -1200x² + 18000x

To maximize the volume, we take the derivative and put it equal to zero.

\frac{dV}{dx} =\frac{d}{dx}( -1200x^2 +18000x)=0\\\frac{d}{dx}( -1200x^2 +18000x) = 0\\-(2)1200x+18000=0\\-2400x+18000=0\\x=\frac{18000}{2400}\\ x=7.5cm

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3 years ago
You select a family with three children. If M represents a male​ child, and F represents a female​ child, the set of equally lik
Studentka2010 [4]

Answer:

1/8

Step-by-step explanation:

This is actually pretty easy.

First, you have the sample of the children.

You know that the family with 3 children, can only have the following children:

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MMF: 2 males, 1 female

MFF: 1 male, 2 females

MFM: 2 males, 1 female (different order)

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FFM: 2 females, 1 male

FMF: 2 females, 1 male

FFF: 3 females

If you count all of these possibilities, we have 8 possible cases of family with the childrens.

In only one of them, we have only females and no males, which is the last one, all 3 females.

Therefore, the probability to select a family with no male, is only 1/8.

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Answer:

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Step-by-step explanation:

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Answer:

7

Step-by-step explanation:

Note the factors of each number. Prime numbers are numbers that can only be factored to itself and 1. Note:

Factors of 1:

1

Factors of 3:

1 , 3

Factors of 7:

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Factors of 9:

1 , 3 , 9

Factors of 21:

1 , 3 , 7 , 21

Factors of 63:

1 , 3 , 7 , 9 , 21 , 63

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Answer:

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