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VladimirAG [237]
3 years ago
13

One number is seven more than three times another number. If the sum of the numbers is 15, find the numbers.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

2 and 13

Step-by-step explanation:

We can use systems of equations here to find both the numbers. Let's assume one of the numbers is x and the other is y.

We know that these numbers add up to 15, so x + y = 15.

We also know that one of these numbers is 7 more than 3 times the other, so x = 3y + 7.

We can now substitute the equation x = 3y + 7 into x + y = 15.

(3y + 7) + y = 15

Combine like terms:

4y + 7 = 15

Subtract 7 from both sides:

4y = 8

Divide both sides by 4:

y = 2.

Now that we know the value of y, we can substitute it inside an equation to find x. Let's substitute it inside x + y = 15.

x + 2 = 15\\\\x = 15-2\\\\x = 13

So the two numbers are 2 and 13.

Hope this helped!

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For the 4 pencils box:

Cost per pencil = Total cost/number of pencils

Cost per pencil = 6/4 = 1.5

Similarly, for the 5 pencils package:

Cost per pencil = 7/5 = 1.4

As you can see, the $7 package is better to buy, because each pencil costs $1.4, then, option A is the correct answer

8 0
1 year ago
A meuseum added 18 painting to its collection in may. This is 20% of paintings the meuseum has in April. How many paintings did
Alexus [3.1K]

18 / x = 20 / 100

20x = 1800

x = 90

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5 0
3 years ago
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
OLEGan [10]

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

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3 years ago
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The answer is D. Hope this helped =)
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o-na [289]

Answer:

2 > 1

Step-by-step explanation:

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When dividing or multiplying by a negative, flip the inequality sign.

3 0
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