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Digiron [165]
2 years ago
15

What is the answer to this equation? 2(9+x) = -5(4-x)

Mathematics
1 answer:
photoshop1234 [79]2 years ago
8 0

Answer:

Hi!

Alrighty here we go:

2(9+x)=-5(4-x)

18+2x=-20+5x

Now combine like terms

+20+18+2x=-20+20+5x

38+2x=5x

38+2x-2x=5x-2x

38=3x

x= 38/3

Hope this helped!

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The sum of four consecutive numbers is -26. what are the numbers?
True [87]
Answer: -8, -7, -6, -5

Remember: consecutive numbers are numbers that are back to back. For example, 1, 2, 3, and 4 are consecutive numbers while 1, 3, 5, and 6 are not.

Form your equation. Let x be your first number, x + 1 your second number, x + 2 your third, and x + 3 is your fourth. To further understand this, temporarily substitute 1 for x, and you will find that they are consecutive.
(x) + (x + 1) + (x + 2) + (x + 3) = -26

Solve for x.
(x) + (x + 1) + (x + 2) + (x + 3) = -26               Distributive Property
x + x + 1 + x + 2 + x + 3 = -26                      Combine like terms
4x + 1 + 2 + 3 = -26                                     Combine like terms
4x + 6 = -26                                                 Subtract 6 from both sides
4x = -32                                                       Divide by 4 to both sides
x = -8                                                            Isolated x

Substitute (-8) for x to find the numbers.
1st #: x = -8
2nd #: x + 1 = (-8) + 1 = -7
3rd #: x + 2 = (-8) + 2 = -6
4th #: x + 3 = (-8) + 3 = -5

The numbers are -8, -7, -6, and -5.

You can also check your work.
(-8) + (-7) + (-6) + (-5) = -26
-26 = -26
 
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How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

6 0
2 years ago
Read 2 more answers
Please help me, my teacher said that only 3 of them are right. so please get three right. please. The second file attached is th
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Answer:

What are you supposed to do

Step-by-step explanation:

4 0
3 years ago
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