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dsp73
3 years ago
15

Eight more than the quotient of thirty and a number is fourteen.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

The number is 5

Step-by-step explanation:

First, we turn words into an equation(using x as the unknown number). Then, we solve for x.

\frac{30}{x} +8=14\\\frac{30}{x}=6\\30=6x\\5=x

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Evaluate the permutation P(36,19)=____
kondaur [170]
Easy

nPr=\frac{n!}{(n-r)!}
here
36P19=\frac{36!}{(36-19)!}=
\frac{36!}{(17)!}=
\frac{36*35*34*33*32*31*30*29*28*27*26*25*24*23*22*21*20*19*18}{1}=
1045843337171591729971200000





6 0
4 years ago
Given the diagram below, what is cos(45*)? <br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
alina1380 [7]

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

<h3 /><h3>cos 45 = 1 / √2</h3>

Hope this helps you

3 0
3 years ago
Solve for for n. 10(n+4) = 63
storchak [24]

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

3 0
3 years ago
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lara31 [8.8K]
Well, there are 8 boys and the brother is one of them so 1 is 12.5% of 8 and out of 10 girls, there 1 is the sister and 1 out of 10 is 10%. Now we multiply the percentages to get the answer 1/80
8 0
3 years ago
Read 2 more answers
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Lana71 [14]

Answer:

9c=99\\

Step-by-step explanation:

Product means multipulcation

So it must be 9c = 99

7 0
3 years ago
Read 2 more answers
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