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LekaFEV [45]
4 years ago
7

What is the least common denominator that can be used to x+1 over 8x^2 add 2x-3 over 12x

Mathematics
1 answer:
Bingel [31]4 years ago
6 0

Answer:

Step-by-step explanation:

8x²  = 2 * 2 * 2 * x * x

12x  = 2* 2 *3 * x

Least common number = 2 * 2 * 2 *3 * x * x =  24x²  

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Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma
exis [7]
Let's call <em />the number of pages we <em>have </em>read m. To find the number of pages we have <em>left</em> to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown m, so the number of pages we <em />haven't read can be written as 193-m. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named m, is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is 193-m, so one-fourth of that would be \frac{1}{4} (193-m). Putting everything together, we get the following equation:

m= \frac{1}{4} (193-m)+3

To solve for m, we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

4m=193-m+12

Solving for m, we get:

4m=193+12-m\\5m=205\\m=41

Now that we have m, it's a simple matter to solve for 193-m:

193-41=152

So, he has not yet read 152 pages.
6 0
3 years ago
Ayush and sumit take two different routes to school. Ayush's route is 1km 2hm long while sumit route is 2hm 30dam long while rou
emmasim [6.3K]

Answer:

Ayush's route is 0.7 km or 700m longer than Sumit route.

Step-by-step explanation:

Ayush's route is 1km 2hm long while sumit route is 2hm 30dam.

We know that,

1 km = 10 hm

1 dam = 0.1 hm

Using these conversions we get

Ayush's route = 1km 2hm = (1×10) hm + 2 hm = 12 hm

Sumit route = 2hm 30dam = 2 hm + (30×0.1) hm = 2 hm + 3 hm = 5 hm

Ayush's route is longer.

Difference = 12 hm - 5 hm = 7 hm = 0.7 km            [1 km = 10 hm]

Hence, Ayush's route is 0.7 km or 700 m longer than Sumit route.

4 0
3 years ago
Read 2 more answers
Daisy Hill has saved $5,000 for her first semester of college. She plans to
Katarina [22]

Amount Daisy plans to spend on food is $625

Step-by-step explanation:

  • Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room

Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750

  • Step 2: Calculate the remaining amount.

Remaining amount = $5000 - $3750 = $1250

  • Step 3: Calculate the amount Daisy plans to spend on food

Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625

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3 years ago
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Determine if these 3 lengths will make a triangle and classify the triangle. 11, 11, 21
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Answer:

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Step-by-step explanation:

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Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.
Nezavi [6.7K]

Answer:

  • y + 2 = - 3/2(x - 4)

Step-by-step explanation:

<u>Given line:</u>

  • y + 4 = 2/3(x - 2)

It has a slope of 2/3.

<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>

  • m = - 3/2

<u>Find its equation provided it passes through the point (4, - 2):</u>

  • y - (-2) = - 3/2(x - 4)
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