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Vlada [557]
3 years ago
6

Olive can read 5 pages of her book in 20 minutes. At what unit rate is olive reading?

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

1/4 page per minute

Step-by-step explanation:

To find the unit rate, we need the amount of page she read in 1 minutes. To do this we divide the pages by the minutes. Let x equal the pages she reads per minutes.

5/20=x

we can simplify  the fraction by divide both the numerator and denominator by 5

(5/5)/(20/5)=x

Do the division

1/4=x

Olive reads 1/4 page per minute

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PLEASE HELP!!!!!!!!!!!!!!!!!<br><br> Solve.<br><br> −1/2x + 1/3 &gt; 3/5
Shtirlitz [24]
To solve this inequality, you must first isolate the term that includes the variable, which is -1/2x. This can be done by first subtracting 1/3 from both sides.

Before you can subtract 1/3 from 3/5, however, you must first convert the fractions to have common denominators.
A common denominator for 1/3 and 3/5 is 15. This is the LCM, least common multiple, of 3 and 5, making it the lowest possible common denominator.
Using this common denominator, 1/3 changes to 5/15 and 3/5 changes to 9/15.

Now we can subtract these equivalent fraction for 1/3, which is 5/15, from the fraction equivalent to 3/5, which is 9/15.
9/15 - 5/15 = 4/15
This fraction can't be simplified any further so this step is done.

Now the inequality is -1/2x > 4/15.
The next step is to isolate x by dividing both sides by -1/2.
An important note to remember when doing this step is that whenever dividing by a negative in inequalities, you must flip the inequality symbol.
In this case, that means dividing both sides by -1/2 and changing the greater than sign (>) to a less than sign (<).

-1/2x ÷ -1/2 = x

4/15 ÷ -1/2
When dividing fractions, find the reciprocal of the second fraction then multiply.
The reciprocal of -1/2 is -2/1, or -2 when simplified.
4/15 • -2 = -8/15

This means x < -8/15.
This has x isolated and the inequality simplified as far as possible.
That means this is the answer.

Answer:
x < -8/15

Hope this helps!
5 0
3 years ago
X2 + 6x +9<br> x² - 4x - 21
Jlenok [28]

Answer:

=8×+9

=(x+3)×(x-7)

Step-by-step explanation:

i think I'm correct

6 0
3 years ago
8x^3-22x^2-4 divided by 4x-3
MA_775_DIABLO [31]
The answer is 24 because 8 times 3 is 24
3 0
3 years ago
Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour
PIT_PIT [208]

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

4 0
3 years ago
Using the slope formula, find the slope of the line through the given points.<br> (1,6) and (3,4)
svlad2 [7]
To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.
7 0
3 years ago
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