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elena-14-01-66 [18.8K]
3 years ago
15

How do you solve problems with propertions?

Mathematics
1 answer:
belka [17]3 years ago
8 0

You just cross multiply for example if its 2/5 and 5/6 you multiply 6 by 2 and  5  by 5 denominator multiplied by numerator pretty easy! 
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Olivia takes twelve laps on a long track in fifteen minutes. how much time will it take her to skate thirty laps ?
Firdavs [7]

Answer:

C. 37.5 minutes


Step-by-step explanation:

You can set up a proportion to help you figure this out.

12/15=30/x (in this proportion, the number of laps are both on the numerator and the time it takes her is on the denomiator.)

Now, just cross multiply and your equations should be: 12·x=15·30, which equals to 12x=450.

Divide 12 on both sides and x=37.5


3 0
3 years ago
Read 2 more answers
An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit
dezoksy [38]

Answer:  \dfrac{5}{4}

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : ar=\dfrac{1}{5}

The common ratio between the terms is given by :-

r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}

We know that the sum of infinite geometric series is given by :-

S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}

Hence, the sum of the given infinite series = \dfrac{5}{4}

7 0
3 years ago
41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h o
Afina-wow [57]

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

5 0
3 years ago
PLEASE HELP MEH! I NEED HELP ASAP
Vladimir [108]

Answer:

Planet D

Step-by-step explanation:

1.5*10^9 = 1,500,000,000

1.07*10^8 = 107,000,000

5.7*10^7 = 57,000,000

2.29*10^6 = 2,290,000

It has the least amount.

3 0
3 years ago
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Which basic geometric figure is labeled as CD? A. Plane B. Segment C. Line D. Angle
pychu [463]
This question requires a picture. Please attach it to the question for further help! (:
7 0
3 years ago
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