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
Paladinen [302]
3 years ago
8

the difference between two numbers is 4. three times the smaller number is equal to two times the larger less two. find the numb

ers
Mathematics
1 answer:
Doss [256]3 years ago
3 0

The larger number is 10 and smaller number is 6.

Step-by-step explanation:

Given,

The difference between two numbers = 4

Let,

x be the larger number.

y be the smaller number.

According to given statement;

x-y=4     Eqn 1

3y=2x-2   Eqn 2

Multiplying Eqn 1 by 3

3(x-y=4)\\3x-3y=12\ \ \ Eqn\ 3

Putting value of 3y from Eqn 2 in Eqn 3

3x-(2x-2)=12\\3x-2x+2=12\\x=12-2\\x=10

Putting x = 10 in Eqn 2

3y=2(10)-2\\3y=20-2\\3y=18

Dividing both sides by 3

\frac{3y}{3}=\frac{18}{3}\\y=6

The larger number is 10 and smaller number is 6.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11149751
  • brainly.com/question/11155478

#LearnwithBrainly

You might be interested in
I need to find the product help
Licemer1 [7]
I'm assuming you mean

2\times\frac{17}{10}

Write the 2 as a fraction 2/1 and multiply.

\frac{2}{1}\times\frac{17}{10}=\frac{34}{10}=\frac{17}{5}


7 0
3 years ago
Two competing gyms each offer childcare while parents work out gym a charged $9.00 per hour of childcare. Gym b charges $0.75 pe
andriy [413]

Answer:

D.)Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

You need to find out how much Gym B charges for a full hour. There are 60 minutes in an hour. Divide this by 5 to determine how many 5 minute increments are in an hour: 12. A parent paying for 1 hour of child care will need to make 12 payments of .75. 12 times .75 equals $9.00. This means that both gyms charge the same amount per hour.

4 0
3 years ago
2. At a particular snack stand, each dill pickle has 65 calories and each bag of
Naddika [18.5K]

Answer:

5 pickles and 1.4 bags of popcorn

Step-by-step explanation:

5x 65= 375

695 - 375= 370

370 ÷ 250 = 1.4

6 0
2 years ago
*PLEASE ANSWER* What is the area of minor sector AOB?
scoray [572]
<h3>Answer: Approximately 13 square units (choice B)</h3>

===========================================================

Explanation:

The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB

angle AOB = 360 - 215 = 145

angle AOB = 145 degrees

We'll use this later.

Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.

The area of the circle is

A = pi*r^2

A = pi*(sqrt(10))^2

A = 10pi

This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB

area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)

area of sector AOB = (145/360)*10pi

area of sector AOB = 145pi/36

area of sector AOB = 145*3.14/36

area of sector AOB = 12.647 approximately

area of sector AOB = 13 square units approximately, after rounding to the nearest whole number

3 0
3 years ago
Carl is making a garden that is twice as long as it is wide. he wants to cover 271
d1i1m1o1n [39]

x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .

Area of a figure is the amount of space acquired by the figure

Area of a rectangle=Length x  breadth

length=x

breadth=x/2

Area of rectangular lawn=lxb

                                          =x.x/2

But as per question,

Area=271 ft²

⇒x²/2=271 1

⇒x=23.28 ft²

Therefore, x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .Value of x i.e. length is 23.28 ft²

Learn more about area,

brainly.com/question/25292087

#SPJ10

6 0
2 years ago
Other questions:
  • What is the Value of m<br> 3m + 5 = 14
    12·2 answers
  • What is the effect on the graph of the function f(x) = sqrt 10x when f(x) is replaced with f(x − 5)?
    11·1 answer
  • What 3 digits are in the units period? 4, 083,817
    5·1 answer
  • The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
    7·2 answers
  • HELP I need to find the mean of this numbers but I cant figure it out
    15·2 answers
  • What is the slope of the line that passes through the points<br><br> (-9, 8) and (-3, -1)?
    15·1 answer
  • Use the substitution method to solve the system of equations. Choose the
    12·2 answers
  • A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adult
    7·1 answer
  • Minu
    7·1 answer
  • Help me please thank you.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!