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
Gekata [30.6K]
2 years ago
11

When six times the larger of two numbers is added to seven times the smaller, the result is 114. Ten times the larger less nine

times the smaller is 66. Determine the numbers.
Mathematics
1 answer:
mina [271]2 years ago
7 0

Answer:

Step-by-step explanation:

Let the larger number = x

Smaller number = y

6x + 7y = 114 ------------(I)

10x - 9y = 66 ------------(II)

Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x

         (1)*9        54x + 63y = 1026

         (II)*7        <u>70x - 63y  =  462</u>    {Now add}

                        124x           = 1488   {Divide both sides by 124}

                                        x = 1488/124

x = 12

Plugin x =  12 in any of the equation. Here, We are substituting in  equation (I)

6*12 + 7y = 114

  72 + 7y =114

         7y = 114 - 72

         7y = 42

          y = 42/7

y = 6

The numbers are 12 , 6

You might be interested in
The value of x and y
kompoz [17]

Answer:

?????

Step-by-step explanation:

3 0
3 years ago
If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Cl
konstantin123 [22]

Answer:

64

Step-by-step explanation:

32+14=46

8 0
2 years ago
Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
If f(x) = x-9, then f '(x) =​
erica [24]

Answer:

1

Step-by-step explanation:

If you are just looking for the derivative, then all you need to use the power rule for this. Technically the x in (x-9) has a power to the 1, so really x^1-9. To use power rule, you bring down the exponent, in this case, 1, and then minus 1 from what the exponent was.

1x^(1-1) = 1x^0. The derivative of any constant is 0, so don't even worry about the -9. We know that anything raised to the zero is just 1, so in this case your answer is 1.

Hope this helps :)

4 0
2 years ago
A force does 35000J of work along a distance of 10.5m. Find the applied force.
nadezda [96]

Answer: 3333.333 N

Work: To figure it out, you must do 35000J divided by 10.5. After diving, you receive the answer 3333.333N. I hope this helps you!

3 0
2 years ago
Other questions:
  • Line AB and Line BC are tangent to P. What is the value of x?<br><br> 73<br> 107<br> 117<br> 146
    15·1 answer
  • Segment Addition Postulate (Algebra) Sep 14, 5:14:54 PM Point N is on line segment MO. Given MN =2× NO = x - 2, and MO = 2x + 9,
    5·1 answer
  • If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen, replaced, and another 6 is ch
    5·1 answer
  • BRAINLIESTT ASAP! PLEASE HELP ME :)
    5·1 answer
  • Solve the equation for the given variable. *<br> 3(x - 5) = 7
    10·1 answer
  • What are the ODDS of rolling a number greater than 3 on a six-sided die?<br> (Odds, NOT probability)
    15·2 answers
  • Write an algebraic expression for the word phrase. 6 more than the difference of W and 3.
    7·1 answer
  • Plz help me will give brainlyest​
    5·1 answer
  • 9.36 as an improper fraction
    6·2 answers
  • -(-(8)))Explain how to answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!