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tiny-mole [99]
3 years ago
14

the sum of three consecutive even integers is 36. Let X represent the first integer, x + 2 represent the second integer, and x +

4 represent the third integer. What equation can be used to find the first integer​
Mathematics
1 answer:
ozzi3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Sum the 3 consecutive integers and equate to 36

x + x + 2 + x + 4 = 36

3x + 6 = 36 ( subtract 6 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

The 3 consecutive integers are

10, 10 + 2, 10 + 4, that is

10, 12, 14

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nexus9112 [7]

Answer:

$1.50 for hamburgers, and $0.75 for fries.


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8 0
3 years ago
Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2
lions [1.4K]

Answer:

2

Step-by-step explanation:

{n}^{ - 3}  =  \frac{1}{8}  \\  \\  {n}^{ - 3}  =  \frac{1}{ {2}^{3} }  \\  \\  {n}^{ - 3}  = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\  \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal)

4 0
3 years ago
Read 2 more answers
Can someone please help me.
Anika [276]

Answer:

Radius= 8.99 mm (9 mm)

Step-by-step explanation:

We use the formula for the volume of a cone which is

1/3 pi ×(radius)^2 *height

932.58 = (pi) × (11) ×(r^2/3)

Radius^2 = (932.58×3) / (11pi)

= 80.96m

Radius= 8.99mm

5 0
2 years ago
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Helppp mee asap !!!!!!
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3 0
3 years ago
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