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Llana [10]
3 years ago
11

Express the following repeating decimal as a fraction in simplest form.

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer:

0.\overline{369} = \frac{41}{111}

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}

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Question 8: Find the equation of the straight line that:
Scorpion4ik [409]

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

8 0
2 years ago
Read 2 more answers
Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.
Verizon [17]
Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>
8 0
4 years ago
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain
Morgarella [4.7K]
<span>49+576=625 81+1600=1681</span>
7 0
3 years ago
14/25, 13%, 0.28, 7%, 21/100, 0.15 from least to greatest
lozanna [386]

Answer:

7%, 0.28, 0.15, 13%, 21/100, 14/25

Step-by-step explanation:

Hope this is right :)

6 0
3 years ago
Mr. Martinez has 3 ice chests. He is placing 14 lunches in each ice chest. Each lunch contains a sandwich, a bag of chips, and a
ExtremeBDS [4]

Answer:

A

14 x 3 = 42 lunches

42 x 0.55 = 23.1

so there are about 23 ham sandwiches  

hope i helped you out

Step-by-step explanation:

4 0
3 years ago
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