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fomenos
4 years ago
8

What is the solution to the equation 4(3x - 11) + 23 = 5x - 14 ?

Mathematics
1 answer:
Maurinko [17]4 years ago
7 0
Hello there!

4(3x - 11) + 23 = 5x - 14

Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44

We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21

12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0

7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7

7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1

We are now left with the following solution:
x = 1

I hope this helps!
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Anna007 [38]

Answer:

The length of the edge of the container is 5 centimeters

Step-by-step explanation:

The volume of a cube is V = L³, where L is the length of its side

∵ The side of the small cube is 1 centimeter

→ By using the rule above

∴ The volume of the small cube = (1)³ = 1 cm³

∵ Mario uses 125 small cubes to make the container in the shape of a cube

→ Multiply the number of the small cubes by the volume of each cube to

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∴ The volume of the container = 125 × 1 = 125 cm³

→ Use the rule of the volume above to find the length of the side

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∵ V = 125 cm³

∴ 125 = L³

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6 0
3 years ago
It's about proportion and stuff but I'm confused on this one can someone please explain?​
horsena [70]

Answer:

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the way i did it was if it was on the bottom (y) i did 2.5 times the number. if on the top (x) i did the number divided by 2.5. 2.5 was the rate of change (is that the word i think it is but if it isnt just blame me im sorry).

Step-by-step explanation:

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3 years ago
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vova2212 [387]

Hello there,

Given the question "Which algebraic expression is a polynomial with a degree of 2?."


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For option 1: It contains no fractional or negative exponent, hence it is a polynomial. But the highest exponent of the terms is 3, hence it is not of degree 2.

For opton 2: It contains a fractional exponent which violates the definition.

For this Answer it would be B.


Have a Nice Day and Hope this Helps ya Bye!


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