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3 years ago

The width of a rectangle is 5x+3, and the length of the

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

5 0

Answer:

Answer: 1/4

Step-by-step explanation:

Algebraic Operations

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}$

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}$

Now note we have the exact same expression up and down, thus simplifying:

$\displaystyle \frac{W}{L}= \frac{1}{4}$

Answer: 1/4

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If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Dimas [21]

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times means $^{75}C_2$

Since, $^nC_r$ is equal to $\frac{n!}{r!\cdot(n-r)!}$

Here n =75, r=2 substituting the values we will get

$\frac{75!}{2!(75-2)!}$

$n!=n\cdot (n-1)\cdot (n-2).....1$

After simplification we will get $\frac{75\cdot 74\cdot 73!}{2!\cdot73!}$

Cancel out the common term that is 73! we will get

after more simplification we will get $\frac{75\cdot 74\cdot}{2!}$

Finally, we will get $\frac{75\cdot 74\cdot}{2}=75\cdot37=2775$

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If two sides of a triangle are 6 and 8 the third side could be

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The average American consumes about 20 gallons of ice cream in one year. At this rate, how many liters of ice cream will 50 Amer

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1 year has around 52.1429 weeks
We are given that one American consumes around 20 gallons of ice cream in a year. This means that the consumption is 20 gallons in 52.1429 weeks.
Now, first we will calculate the amount consumed by 1 American in one week using cross multiplication as follows:
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Now, to know the consumption of 50 Americans in one week, we will simply multiply the consumption of one American by 50 as follows:
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3 years ago

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