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maksim [4K]
3 years ago
5

What is 8/12k+3/12k=22?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0

<em>Greetings from Brasil...</em>

let's multiply both the 1st and 2nd members by 12k:

(8/12K) + (3/12K) = 22      x12K

8 + 3 = 264K

<h2>K = 11/264</h2>

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What is the common ratio for this geometric sequence?
Anastasy [175]

Answer:

<h2>A. 1/3</h2>

Step-by-step explanation:

\text{The common ratio of a geometric sequence}\ a_n:\\\\r=\dfrac{a_{n+1}}{a_n}\\\\\text{We divide next term by the previous one.}\\\\r=\dfrac{9}{27}=\dfrac{9:9}{27:9}=\dfrac{1}{3}\\\\r=\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}\\\vdots

3 0
4 years ago
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What is 20% as a fraction
vivado [14]

Answer:

1/5 is the fraction of 20%.

4 0
3 years ago
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7
sergiy2304 [10]

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

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b = 77/7

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5 0
4 years ago
Find the missing length indicated.<br> A) 48 <br> B) 36 <br> C) 100 <br> D) 64
alexandr402 [8]

Answer:

Option D) 64

Step-by-step explanation:  

see the attached figure with letters to better understand the problem

<em>In the right triangle BCD find BC</em>

Applying the Pythagoras Theorem

BC^{2}=48^{2}+36^{2}\\BC^{2}=3,600\\BC=60\ units

<em>In the right triangle ABC</em>

cos(C)=BC/AC

substitute the values  

cos(C)=60/(x+36) -------> equation A

<em>In the right triangle BDC</em>

cos(C)=CD/BC

substitute the values

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equate equation A and equation B

60/(x+36)=36/60\\ \\(x+36)*36=60*60\\ \\36x+1,296=3,600\\ \\36x=3,600-1,296\\ \\36x=2,304\\ \\x=64\ units

6 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
Leviafan [203]

Answer:

y = x - 4

Step-by-step explanation:

Given

2y - 2x = -8 -- correct expression

Required

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2y - 2x = -8

Make 2y the subject

2y = 2x - 8

Divide through by 2

\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}

y = x - 4

8 0
3 years ago
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