MATHEMATICS MIDDLE SCHOOL

The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

Answer 2

Answer:

Answer:

31 is greater

Step-by-step explanation:

I will solve your system by substitution.

x=3y−5;43=x+y

Step: Solve x=3y−5 for x:

Step: Substitute 3y−5for x in 43=x+y:

43=x+y

43=3y−5+y

43=4y−5 (Simplify both sides of the equation)

43+−4y=4y−5+−4y (Add -4y to both sides)

−4y+43=−5

−4y+43+−43=−5+−43 (Add -43 to both sides)

−4y=−48

(Divide both sides by -4)

y=12

Step: Substitute12foryinx=3y−5:

x=3y−5

x=(3)(12)−5

x=31(Simplify both sides of the equation)

Answer:

x=31 and y=12

31 is greater than 12

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hey guys i need help i don't understand what a reciprocal means i know i am in middle school but i learned this in 4th grade i am in 6th long time pass for 2 years so help me

Answers

To put in simple terms, a reciprocal is a flipped fraction. This is used when you are dividing fractions.

David can finish painting the room in 6 hours, and his elder brother Antony can finish it in 4 hours. If both brothers paint the room together, how many hours will it take them?

Answers

Both brothers paint the room together, it will take 2 hours 22 minutes.

Given that,

David can finish painting the room in 6 hours,

And his elder brother Antony can finish it in 4 hours.

We have to determine,

If both brothers paint the room together, how many hours will it take them.

According to the question,

David can finish painting the room in 6 hours,

And his elder brother Antony can finish it in 4 hours.

The combined time is given by the following formula.

Therefore,

For both brothers paint the room together, how many hours will it take them,

Taking reciprocal of both brothers time.

Then,

$(1)/(6) + (1)/(4) = (1)/(t) \n\n(2+3)/(12) = (1)/(t) \n\nt = (12)/(5) \n\nt = 2.4$

Which is equals to 2 hours 22 minutes.

Hence, Both brothers paint the room together, it will take 2 hours 22 minutes.

For more information about Division click the link given below.

brainly.com/question/16663851

Answer:

Step-by-step explanation:

1/6+1/4=5/12

5/12 of the job is done in 1 hour

5/12+5/12= 10/12

so 10/12 of the job is done in 2 hours

and then simplify 5/6 so then add 1/6

so it is done in 2 hours and 24 minutes

The second of two numbers is 4 more than the first. The sum of the numbers is 56. Find the numbers.

Answers

numbers are 26 and 30

{ x + y = 56
{ y = x + 4

x + y = 56
x + ( x + 4 ) = 56
x + x = 56 - 4
2x = 52
x = 52
2
x = 26

x + y =56
26 + y = 56
y = 56 - 26
y = 30

S = { 26 , 30 }

What is the estimate of this unit rate?: $74.75 PLEASE HELP

Answers

There is no unit rate until you tell us WHAT costs $74.75 .

THEN we can calculate the cost for each hamburger, or
each puppy, or each hour.

A coin is tossed and a number cube labelled 1 to 6 is rolled. How many likely outcomes are there? Use a tree diagram

Answers

H T
/ / / \ \ \ / / / \ \ \
1 2 3 4 5 6 1 2 3 4 5 6

12 different outcomes
since each side can land with one number

You can mow 800 square feet of lawn in 15 minutes at this rate how many minutes will it take you to mow a lawn that measures 6000 square feet? Part A write a proportion to represent the problem. Use M to represent the number of minutes. Explain your reasoning.

Part B solve the proportion you wrote in part A. Then use it to answer the problem. Show your work.

Answers

If you would like to know how many minutes will it take you to mow a lawn that measures 6000 square feet, you can calculate this using the following steps:

800 square feet ... 15 minutes
6000 square feet ... M minutes = ?

800 * M = 15 * 6000
M = 15 * 6000 / 800
M = 112.5 minutes

This will take 112.5 minutes.

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