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podryga [215]
3 years ago
14

Two times one number added to three times a second number is 21.

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

Step-by-step explanation:

"Two times one number added to three times a second number is 21.

2x + 3y = 21

"The second number is ten less than five times the first number"

y = 5x-10

Substitution

2x+3(5x-10) = 21

2x + 15x - 30 = 21

17x = 51

x = 3

y = 5x-10 = 5

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3 years ago
16. Solve for the angle x.<br> cos(¹/2x) = ¹/2
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Answer:

We know that ,

\rightarrow \tt \cos( \frac{\pi}{3} )  =  \frac{1}{2}

So ,

\:  \rightarrow \tt \cos( \frac{1}{2}x )    =  \cos( \frac{\pi}{3} )  \\  \\   \rightarrow \tt \frac{1}{2}.x =  \frac{\pi}{3}  \\  \\ \rightarrow \tt x =  \frac{2\pi}{3}

we can add 2 pi to it since there will be no change in the value

Also,

\: \rightarrow \tt  \cos( \frac{14\pi}{6} )  =  \frac{1}{2}  \\  \\  \\ \rightarrow \tt \frac{1}{2}  x =  \frac{14\pi}{6}  \\  \\ \rightarrow \tt x =  \frac{7\pi}{3}

Answer : Option B

6 0
2 years ago
What is the correct answer?​
Nutka1998 [239]

Answer:

D) 8

Step-by-step explanation:

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96 = 12x

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5 0
3 years ago
If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.
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To find the range of possible values of x, we have to side 1 from side 2...

7.1 - 5.6 = 1.5

The smallest side x could be is 1.5.
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The biggest side x could be is 12.7

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7 0
3 years ago
At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of
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Answer: 22/21

Step-by-step explanation:

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Now, simply write this as a fraction. 22/21

7 0
3 years ago
Read 2 more answers
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