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3 years ago

What is the rational number equivalent to 1.28? The 1.28 has a line above the 28

1 answer:

8 0

<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats) 100x = 128.28...
next: 100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>

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In an endurance race, Rachel ran

Reil [10]

Answer:

$31\frac{1}{5}\ miles$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

The distance is equal to multiply the speed by the time

we have

$speed=9\frac{3}{5}\ \frac{miles}{hour}$

$time=3\frac{1}{4}\ hours$

$distance=(9\frac{3}{5})(3\frac{1}{4})$

Convert mixed number to an improper fraction

$9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}$

$3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}$

substitute

$distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles$

Convert to mixed number

$31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles$

3 0

3 years ago

Question is in the picture

MrRa [10]

Answer:

B) 12.5 ft

Step-by-step explanation:

set up a proportion of inches/feet equals inches/feet

let 'h' = height of sign

5.4/18 = 3.75/h

cross-multiply:

5.4h = 67.5

h = 12.5

5 0

2 years ago

Please help with this math expression

Sidana [21]

Answer:

Step-by-step explanation:

add together like terms.

5 0

3 years ago

Read 2 more answers

The number of students in a school was 860 last year. This year there are 790. What is the percentage decrease in the number of

Arada [10]

Percent decrease=decrease/original times 100

decreas=860-790=70
original=860

percent decrease=70/860 times 100
percent decrease=0.0813953 times 100
percent decrease=8.13953
about 8%

6 0

3 years ago

Read 2 more answers

3c+2d=2;d=4 step by step

mina [271]

Hi there!

3c + 2d = 2 for d = 4
3c + 2(4) = 2
3c + 8 = 2
Subtract 8 to both sides
3c + 8 - 8 = 2 - 8
3c = -6
Divide both sides by 3
3c/3 = -6/3
c = -2

I hope I helped!

6 0

3 years ago