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dexar [7]
4 years ago
6

Convert 11.42424242 to a rational expression in the form of a/b , where b ≠ 0.

Mathematics
2 answers:
Savatey [412]4 years ago
6 0

Answer:

C

Step-by-step explanation:

11 42/99

TiliK225 [7]4 years ago
5 0
11.424242
isolate the repeating part
11+0.424242

focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242

subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99
x=\frac{42}{99}



so
11.\overline{42}=11 \space\ \frac{42}{99}
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The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –3 6 3 4
Maksim231197 [3]

Answer

A. Many solution

Step by step explanation

Points on line 1 : (-3, 6) and (3, 4)

Points on line 2: (-6, 7) and  (9, 2)

Now let's find the slope of the line 1

Slope formula = \frac{y2 - y1}{x2 - x1}

Slope of line 1 = (4 - 6) / (3 - (-3)

= -2/(3 + 3)

= -2/6

Slope of line 1 = -1/3

The equation of the line y - y 1 = m(x - x1)

y - 6 = -1/3 (x - (-3))

y -6 = -1/3 (x + 3)

y -6 = -1/3x - 1

y = -1/3x + 5

Slope of line 2 = (2 - 7) / (9 -(-6))

= -5/(9 + 6)

= -5/15

Slope of line 2 = -1/3

The equation of line

y - y1 = m(x - x1)

y - 7 = -1/3(x - (-6))

y - 7 = -1/3(x + 6)

y -7 = -1/3 x - 2

y = -1/3 x + 5

The line 1 and line 2 have the same slopes and the same y-intercept. Both are the same equation. Therefore, there will be many solution.

Answer : A. 0 Solution

Thank you.

7 0
4 years ago
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julsineya [31]

<span>No entiendo esto, esta no es una pregunta. Más que un hecho realmente.</span>
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 0
2 years ago
A tank that is 40% full contains 648 gallons of water. Use a double number line to find the maximum capacity of the water tank.
natali 33 [55]
We know that
Double number lines<span> are best used to visualize equivalent ratios and describe a ratio relationship between two quantities.
</span>
<span>start with the par 40% - 648 gal and let's calculate the other missing data
to find 10%-------> multiply 648 gal by (1/4)
</span>to find 20%-------> multiply 648 gal by (1/2)
to find 30%-------> multiply 648 gal by (3/4)
to find 50%-------> multiply 648 gal by (5/4)
to find 60%-------> multiply 648 gal by (6/4)
to find 70%-------> multiply 648 gal by (7/4)
to find 80%-------> multiply 648 gal by (8/4)
to find 90%-------> multiply 648 gal by (9/4)
to find 100%-------> multiply 648 gal by (10/4)<span>

</span>Here is what the numbers would look like on a number line.  They are lined up.
10%  20%  30%  40%  50%  60%  70%  80%  90%  100%
162   324   486   648   810   972   1134  1296  1458  1620

the answer is
the maximum capacity is 1620 gallons of water.
4 0
3 years ago
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