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Alla [95]
2 years ago
7

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two

Mathematics
1 answer:
natka813 [3]2 years ago
7 0

Answer:

Let the larger number = y and the smaller number = x.

The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,

y = 2x - 10

The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,

x + y = 38

Since y = 2x - 10, we rewrite the lower equation as:

x + (2x - 10) = 38

Solving:

3x - 10 = 38

3x = 48

x = 16

The lesser number is 16 and the greater number is 2(16) - 10 or 22.

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Step-by-step explanation:

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3 years ago
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Kilo typed 1,125 words in 15 minutes let w represent the number of words typed each minute If Lolo typed the same number of word
Alborosie

Answer:

She type <u>75 words</u> in 1 minute.

Step-by-step explanation:

Given:

Lolo typed 1,125 words in 15 minutes.

Let w represent the number of words typed each minute.

Now, to find the number of words she type in 1 minute if Lolo typed the same number of words each minute.

So, we solve it by using cross multiplication method:

<u><em>As 1125 words is equivalent to 15 minutes.</em></u>

<u><em>Thus, w number of words equivalent to 1 minutes</em></u>.

\frac{1125}{15} =\frac{w}{1}

By cross multiplying we get:

⇒ 1125=15w

<em>Dividing both sides by 15 we get:</em>

⇒ 75=w

⇒ w=75.

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4 0
2 years ago
In a particular lottery, 5 winning numbers are drawn from a set of 37 numbers. What is the probability of picking exactly 2 of t
anygoal [31]

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

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Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

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2 years ago
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5 0
3 years ago
16 is what percent of 72?
Anvisha [2.4K]
Percent formula : is / of = % / 100

16 is what percent of 72...

is = 16
of = 72
% = x

sub into the formula
16/72 = x / 100
cross multiply because this is a proportion
(72)(x) = (100)(16)
72x = 1600
x = 1600/72
x = 22.2 % <===
7 0
3 years ago
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