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Tanya [424]
3 years ago
12

Which word describes the slope of the line? o positive O negative O zero undefined

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0
I’m not to sure my my guess is zero because it is not going up or down
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What is 04.151515... into a fraction
Sergio039 [100]

Answer:

\displaystyle 4.\overline{15} = \frac{137}{33}.

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

4.151515\cdots = 4 + 0.151515\cdots

The most challenging task here is to express 0.151515\cdots as a proper fraction. Once that fraction is found, expressing the original number 4.151515\cdots will be as simple as rewriting a mixed number as an improper fraction.

Let x = 0.151515\cdots. (x + 4) would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in x are shifted to the left by two places, the repeating part will continue to match:

\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}.

Note, that this "shifting" is as simple as multiplying the initial number by 100 (same as 10 raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\  & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}.

In other words:

99\, x = 15.

\displaystyle x = \frac{15}{99} = \frac{5}{33}.

Therefore, the original number would be:

\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}.

4 0
3 years ago
An art teacher is pouring paint into containers that each hold 1/2, gallon. How many
irina1246 [14]

Answer:

10 gallons

Step-by-step explanation:

Multiply 20 by 1/2.

20 x 1/2 = 10

Hope it helps!

Let me know if it doesn't, I can make it right.

5 0
3 years ago
PLS HELP ONLY 1 question
Vesna [10]
The answer is C. Here you go.
5 0
3 years ago
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 En
marusya05 [52]

Answer:

-2  1/2

Explanation :

took the test on ed

7 0
3 years ago
Read 2 more answers
I am confused my teacher helped on the first problem but the rest didn't make sense any idea's?
Dovator [93]
2. The three points you need to mark on this graph are (1,2) (2,3) and (4,5); you then draw a line through all of these points and determine whether the inches of rainfall is proportionate to the number of hours. 

You mark those 3 points because at 1 hour, 2 inches of rain has fallen; at 2 hours, 3 inches of rain has fallen; and at 4 hours, 5 inches of rain has fallen 

7 0
3 years ago
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