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zhuklara [117]
3 years ago
11

What is the equation and soultion to x times 3 plus 4 equals 16

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Hello!

Let's write this as an equation below.

3x+4=16

We subtract 4 from both sides.

3x=12

Divide both sides by 3

x=4

I hope this helps!

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Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
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Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
Name a decimal in between 0.4 and 0.5?
Luba_88 [7]
I think that 0.45 would be one.
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Fill in the blanks to make the equation true. (x−9)(x+2)=x^2________ −18
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Answer:

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Step-by-step explanation:

Remember to follow FOIL.

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Finally, multiply the last. (-9)(2) = -18

Combine like terms: x² + 2x - 9x - 18

x² - 7x - 18

x² - 7x - 18 is your answer.

~

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Answer:

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Step-by-step explanation:

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