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3 years ago

Multiply the fractions and reduce to lowest terms. Use cancellation whenever possible. 5/6 x 1/7 x 3/5

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

$\frac{1}{14}$

Step-by-step explanation:

$\frac{5}{6}*\frac{1}{7}*\frac{3}{5}=\frac{5*3}{2*3*7*5} =\frac{1}{14}$

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Solve for X can you show me how to do this problem.

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A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location. At its Milford location, the

Vlad1618 [11]

Answer:

Milford location has a higher ratio of hamsters to gerbils.

Step-by-step explanation:

Given:

A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.

At its Milford location, there are 13 hamsters and 16 gerbils.

Now, to find the location who has a higher ratio of hamsters to gerbils.

Ratio of hamsters to gerbils at Lanberry location = 5:10.

$=\frac{5}{10}=0.50$

Ratio of hamsters to gerbils at Milford location= 13:16.

$=\frac{13}{16} =0.8125$

So, 0.8125 > 0.50.

Thus, 13:16 > 5:10.

Therefore, Milford location has a higher ratio of hamsters to gerbils.

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3 years ago

Jack wants to buy a pair of trousers for $60 when he went to the store he found that the prices marked down by 20% how much do t

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World population is approximately upper p equals 6.4 left-parenthesis 1.0126 right-parenthesis superscript t, with upper p in bi

Leviafan [203]

Given equation is

$P=6.4(1.0126)^t$

It gives approx world population in billions for t years since 2004.

Answer(a):

Compare with growth formula P=a(b)^t, we get:

growth factor b = 1.0126

We know that if r is the percent rate of growth then

1+r=b

1+r=1.0126

r=0.0126

Hence the yearly percent rate of growth of the world population is 0.0126 or 1.26%.

Answer(b):

To find worlds population in 2004, plug t=0 because year is counted from 2004.

$P=6.4(1.0126)^0 = 6.4*1 = 6.40$

Hence answer is 6.40 billion.

To find worlds population in 2018, plug t=2018-2004=14 because year is counted from 2004.

$P=6.4(1.0126)^{14} = 6.4*1.19160117479 = 7.62624751867$

Hence answer is approx 7.63 billion.

Answer(c):

Average rate of change of the world population between 2004 and 2018 is given by:

$\frac{P\left(Year_{2018}\right)-P\left(year_{2004}\right)}{2018-2004}$

$=\frac{P\left(14\right)-P\left(0\right)}{14-0}$

$=\frac{7.63-6.40}{14}$

$=0.0878571428571$

Hence answer is approx 0.0878571428571 billion per year.

To convert it into millions, multiply by 1000

So we get 0.0878571428571*1000 = 87.8571428571

Which is approx 88 to the nearest integer

Hence final answer is approx 88 millions per year.

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3 years ago