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svlad2 [7]
3 years ago
7

Juan is thinking of two numbers. He says that 3 times the first number minus the second number is 118. In addition, two times th

e first number plus the second number is 147. Find the numbers.
Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0
We will call the first number n, and the second number x.

3n-x=118

2n+x=147

Now, solve one of the equations for x.

x=147-2n

Then, substitute this into the other formula for x. 

3n-(147-2n)=118

Next, solve for n:

3n-147+2n=118
5n=265
n=53
^^^That's your first number.

Lastly, plug in 53 for n into either equation to solve for x.

2(53)+x=147
106+x=147
x=41
^^^This is your second number.
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The revenue generated by the band is given by the expression 50x + 150y. If the band plays 15 weekday shows and 6 weekend shows
Artist 52 [7]

Assuming that x is equal to weekday shows and y is equal to weekend shows, the band will exceed their goal by $150.

To find this, we need to plug 15 in for x and 6 in for y. Then we need to evaluate the equation.

R = 50x + 150y

R = 50(15) + 150(6)

R = 750 + 900

R = 1650

Therefore, we know that they exceeded their goal by $150 by getting the total of $1650.

3 0
3 years ago
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An astronomer knows the distances from herself to stars AAA and BBB, as well as the distance between them. The distances are 450
ANTONII [103]

Answer: 10.27 degrees.

Step-by-step explanation: I did the math. :D

5 0
3 years ago
Is 2.799 greater than 2.79 ?
BlackZzzverrR [31]
Yes because 2.799 has a extra digit but if there is an answer that they can be the same then they are the same
6 0
4 years ago
The scores on a math test are normally distributed with a mean of 74 and a standard deviation of 8. The test scores range from 0
hram777 [196]

Answer:

The Estimate the number of students who took the scores between  82 and 98 = 16

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given data The scores on a math test are normally distributed with a mean μ = 74  

standard deviation of Population

                                               S.D (σ) = 8

Let 'x' be the random variable of Normal distribution

<u><em>case(i)</em></u>:-  when  x = 82

            Z = \frac{x-mean}{S.D}

           Z = \frac{82-74}{8} = 1

     

<u><em>case(ii)</em></u>:-  when  x = 98

            Z = \frac{x-mean}{S.D}

           Z = \frac{98-74}{8} = 3

The probability that test scores between 82 and 98.

P(82≤x≤98) = P(1≤z≤3)

                 = P(z≤3) - P(z≤1)

                 = 0.5+A(3)-(0.5+A(1))

                =  A(3) -A(1)

               = 0.4986 - 0.3413

               = 0.1573

<u><em>Final answer</em></u>:-

The Estimate the number of students who took the scores between  82 and 98

             = 100 X 0.1573 = 15.73 ≅16

           

7 0
3 years ago
Charlie reads quickly . He reads 1and3/7 pages every 2/3 minutes.How many pages does he read pre minute?
SVETLANKA909090 [29]
Hello there!

First, we need to admit that math is a hard subject. So, how do we handle hard stuff? We find an easy way. Right?

Well same goes here. They give the fractions to drive us crazy. Let's find the easiest way...

The easiest way is to turn them into decimals.
1 3/7 = 1.42 which is the amount of pages he reads
2/3 = 0.67 minute.

The are asking us how many pages does he reads per minute.

So we gonna say:
Charlie reads 1.42 pages ......> 0.67
Charlie reads x pages.............> 1minute

Cross multiply

0.67 * x = 1 * 1.42
0.67x = 1.42
x = 1.42/0.67
x = 2.11

So, Charlie reads 2.11 pages in 1 minute.


I hope this helps. Please let me know if you have questions about the answer.

Thanks!


5 0
4 years ago
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