1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VladimirAG [237]
2 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]2 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!

You might be interested in
Circle the possible values that satisfy this inequality X - 3 < 9
horsena [70]
4-3<9
5-3<9
6-3<9
and so on...
3 0
3 years ago
Monica reads 7 1/2 pages of a mystery book in 9 minutes. What is her average rate in pages per minute
Anna007 [38]

the answer is the number of pages divided by the number of minutes.

7.5/9=0.833333, so she reads on average 0.83 pages per minute

4 0
3 years ago
Read 2 more answers
Question is attached!​
saul85 [17]

Answer:

$3,000 was invested in the account that gained 13%

$17,500 was invested in the account that lost 10%

Step-by-step explanation:

Let the amount in both accounts be x and y

x for the first and y for the second

Adding both is 20,500

x + y = 20,500 •••••(i)

First account earned 13% profit

= 13/100 * x = 0.13x

Second account, a loss of 10%

= -10/100 * y = -0.1y

Total loss of -1,360

This is;

-0.1y + 0.13x = -1,360 •••••••(ii)

From i, x = 20,500-y

Insert this into ii

-0.1y + 0.13(20,500-y) = -1,360

-0.1y + 2665 -0.13y = -1360

-0.23y = -1360-2665

-0.23y = -4025

y = -4025/-0.23

y = 17,500

To get x, we have

x = 20,500 -y

x = 20,500- 17,500

x = 3,000

3 0
2 years ago
The weights of soy patties sold by a diner are normally distributed. A random sample of 25 patties yields a mean weight of 4.2 o
just olya [345]

Answer:

t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2

The degrees of freedom are given by:

df =n-1=25-1=24

And the p value would be given by:

p_v = P(t_{24}>2) =0.0285

And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate      

Step-by-step explanation:

Data provided

\bar X=4.2 represent the sample mean for the weigths

s=0.5 represent the sample standard deviation

n=25 sample size      

\mu_o =4 represent the value that we want to analyze

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to check if the true mean weigth is less than 4 or not, the system of hypothesis would be:      

Null hypothesis:\mu \leq 4      

Alternative hypothesis:\mu > 4      

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

Replacing the info given we got:

t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2  

The degrees of freedom are given by:

df =n-1=25-1=24

And the p value would be given by:

p_v = P(t_{24}>2) =0.0285

And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate

5 0
2 years ago
Round the number 1 560 to the nearest thousands place​
Serga [27]

Answer:

2000

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • On Saturday Emma made a basket in 36 out of 80 attempts with a basketball. On Sunday she made a basket in 11 out of 20 attempts.
    13·2 answers
  • Y-5x less then equal to 2 <br> Solve for y
    13·1 answer
  • -24-8x=12; 1+5/9y=-7/8x
    5·1 answer
  • Please help me please
    14·2 answers
  • 6y=x-18 3y=-15x+15 What is the value of x?
    5·1 answer
  • ABC for life needs
    7·1 answer
  • Please help.<br> Algebra.
    6·1 answer
  • 2 = 9 + 5/2 <br> please answer this
    5·2 answers
  • Can someone help with this question and either answer 1, 2, or both. Thanks
    10·1 answer
  • What effect does the following line have on the poem?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!