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rosijanka [135]
3 years ago
13

What is the value of x in the following equation, x/4 = -120? (Btw, it's x over 4 not division :)

Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0
If you mean by x over 4 that it is fraction then there is no different between it and divisions
x/4 = -120
x = -120 × 4 ( when division goes to the other side of equal it turns into multiplication)
x = -480

A. -480
AlekseyPX3 years ago
5 0
<h2><u><em>The answer is -480 which is A</em></u></h2>
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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

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Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
2 years ago
What is the value of y in the triangle?
Readme [11.4K]

Answer:

• From trigonometric ratios:

{ \rm{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }} \\

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

{ \tt{ \sin(41)  =  \frac{y}{26} }} \\  \\ { \tt{y = 26 \sin(41) }} \\  \\ { \boxed{ \tt{ \: y = 17.06 \:  \: ft}}}

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Answer:

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Step-by-step explanation:

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Well, it depends how many lights she needs per arrangement.

Comment below if it is mentioned but you didn't include it.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

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8 0
3 years ago
Round 8.61 to the nearest tenth.
maks197457 [2]
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