answer.
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
ValentinkaMS [17]
2 years ago
11

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b Which of these is the value of y in terms of a? Option 1 : y = 3

a – 35 Option 2 : y = 2ab – 3b Option 3 : y = 9a – 35 Option 4: y = 3 – 2a
Mathematics
1 answer:
3241004551 [841]2 years ago
6 0

Answer:

<h3>Option 4: y = 3 – 2a</h3>

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

You might be interested in
Jordan used the distributive property to write an expression that is equivalent to 6c – 48. 6c - 48 is equivalent to 6(c - 48) I
Katyanochek1 [597]
It’s incorrect.

The correct answer is 6(c - 8)
8 0
2 years ago
Read 2 more answers
If each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?A.
Svetlanka [38]

Answer:

C. 40

Step-by-step explanation:

Let us say there are x 7's and y 77's.

We have been given that each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum equals 350. We are asked to find the value of n.

Since the sum of all numbers is 350, so we can represent this information in an equation as:

7x+77y=350

The only integer solutions for the equation 7x+77y=350 are 10, 20, 30, 40, 50 .

So, there can be these many terms: 10 or 20 or 30 or 40 or 50 .

The given option only contains 40, so 40 would be the answer. For 40 terms to be there, there has to be 39 sevens and 1 seventy-seven.

Let us verify our answer.

7x+77y=350

7(39)+77(1)=350

273+77=350

350=350

Therefore, the total terms (n) could be equal to 40 and option C is the correct choice.

8 0
2 years ago
Derrick has $3500 in a savings account that earns 12% annually. If the interest is not compounded, how much interest will he ear
netineya [11]
I'm thinking I no this one hold up
7 0
2 years ago
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes.
densk [106]

The dimensions of the base of Box 1 are x by 3x.


The base area of Box 1 is:

3x^2

6 0
2 years ago
Read 2 more answers
HELP ASAP!!! (25 points and I’ll mark brainliest!!!!)
defon

Answer:

1. Take the Average of the distances the ball travelled each hit.

2. He should use the Interquartile Range. This is the difference between the Upper Quartile and the Lower Quartile of the distances he hits the ball.

3. He should use Mean

4. He should use Median. It best measures skewed data

Step-by-step explanation:

THE FIRST PART.

Raul should take the average of the distances the ball travelled each hit.

This is done by summing the total distances the ball travelled each bounce, and then dividing the resulting value by the total number of times he hit the ball, which is 10.

THE SECOND PART

He should use the Interquartile Range. This is the difference between the Upper Quartile and the Lower Quartile of the distances he hits the ball.

THE THIRD PART

He should take the mean of the distances of the ball that stayed infield.

This is the distance that occurred the most during the 9 bounces that stayed infield. The one that went outfield is makes it unfair to use any other measure of the center, taking the mean will give a value that is significantly below his efforts.

THE FOURTH PART

He should take the Median of the data, it is best for skewed data.

This is the middle value for all the distances he recorded.

3 0
2 years ago
Other questions:
  • 10 x 3 tens - unit form and standard form
    11·2 answers
  • a printing press will print 6,000 copies in 20 minutes. A second press can print 15000 copies in 60 minutes. How many more copy
    8·1 answer
  • To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12
    9·1 answer
  • Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?
    5·2 answers
  • There are S steps from the pedestal to the head of the Statue of Liberty.The number of steps in the Washington Monument is 27 le
    7·1 answer
  • Plzzzzzz help. I have to waist so many points becouse peaple dont answer my question plzzzzzz help will give brainliest (pic dow
    12·1 answer
  • Round 984759.995148 to the nearest whole number.
    14·1 answer
  • Find FL if H is the circumcenter of EFG,
    10·1 answer
  • Assume the triangle has given measurements. solve for the remaining sides and angles.
    9·1 answer
  • Share £180 in the ratio<br> 1:9
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!