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faltersainse [42]
2 years ago
10

Convert the fraction to higher terms. Enter the value of the missing numerator 3/10=?/80

Mathematics
2 answers:
zaharov [31]2 years ago
5 0

I think the answer is 24/80 because you have multiplied the denominator by 8 to get to ?/80 from 3/10. Therefore, you need to multiply 3 by 8 also, which when you do, you get 24/80

Elodia [21]2 years ago
4 0
3/10 multiply with 8 on both numerator and denominator

therefore, 3/10 = 3x8/10x8 =  24/80
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During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par
storchak [24]
We can set it up like this, where <em>s </em>is the speed of the canoeist:

\frac{18}{s} + \frac{4}{s-5} = 3

To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):

s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s

If we rearrange this, we can turn it into a quadratic equation and factor:

18s - 90+4s=3 s^{2} -15s \\ 22s-90=3 s^{2} -15s \\ 3 s^{2} -37s+90=0 \\ (3s-10)(s-9)=0 \\ s= \frac{10}{3} ,9

Technically, either of these solutions would work when plugged into the original equation, but I would use the second solution because it's a little "neater."  We have the speed for the first part of the trip (9 mph); now we just need to subtract 5mph to get the speed for the second part of the trip.

9-5 = 4

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
5 0
3 years ago
Which equation has the solution x = 5?
alexgriva [62]
It would be 32-4x=12
32-4(5)=12
32-20=12
12=12
4 0
3 years ago
Read 2 more answers
Someone please help me!!
Alinara [238K]

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

4 0
2 years ago
I need help finding the domain
natima [27]

Answer: [-11,4]

Step-by-step explanation:

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6 0
2 years ago
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Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.
Snezhnost [94]

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1)  S = B + 10

the next year she will be twice as old as Billy

(2)  S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):  

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10  => 1 = B - 8 => B = 9

replacing in (1) S = 19

5 0
2 years ago
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