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
Levart [38]
3 years ago
5

Three times a number added twice a smaller number is 4. Twice the smaller number less than twice the larger number is 6. Find th

e number
Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

x= -2/5 and y=13/5

Step-by-step explanation:

Lets assume that the larger number = x

And the smaller number = y

According to the given statement three times a number added twice a smaller number is 4, it means;

3x+2y=4 -------- equation 1

Now further twice the smaller number less than twice the larger number is 6,it means;

2y-2x=6 --------equation 2

Solve the equation 2.

2y=2x+6

y=2x+6/2

y=2(x+3)/2

y=x+3

Substitute the value of y=x+3 in the first equation.

3x+2y=4

3x+2(x+3)=4

3x+2x+6=4

Combine the like terms:

5x=4-6

5x=-2

x= -2/5

Put the value x= -2/5 in equation 2.

2y-2x=6

2y-2(-2/5)=6

2y+4/5=6

By taking L.C.M we get

10y+4/5=6

10y+4=6*5

10y+4=30

10y=30-4

10y=26

y=26/10

y=13/5

Hence x= -2/5 and y=13/5....

You might be interested in
Write an equation and solve:
11Alexandr11 [23.1K]

Answer

Find out  how many  months will it take for Jeff to weigh the same as Darius .

To prove

As given

Jeff and Darius are trying to gain weight for the football team.

Jeff weighs 120 pounds and is gaining  ten pounds per month.

Darius weighs 150 pounds and is gaining 4 pounds per month.

m = represented the number of months will taken by the Jeff to weigh the same as Darius .

Than the equation become in the form

120 + 10m = 150 +4m

150 - 120 = 10m - 4m

30 = 6m

m = \frac{30}{6}

m = 5 months

Therefore in 5 months  will it take for Jeff to weigh the same as Darius.

4 0
3 years ago
What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8
SpyIntel [72]
<span>2x+3y=3
</span><span>-3x-2y=8

3y=3-2x
-2y = 8+3x

y = 1 - 2x/3
y = -4 - 3x/2

</span>1 - 2x/3 =  -4 - 3x/2

5 = - 3x/2 + 2x/3

5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

<span>2x+3y=3 ; x = -6

-12 + 3y = 3

3y=3+12

3y=15

y = 5

So </span>x = -6 and y = 5
3 0
3 years ago
In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
faust18 [17]

Answer: D

Step-by-step explanation:

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer

3 0
3 years ago
How to do this question plz answer me step by step plzz plz please​
Alina [70]

Answer:

See the attached

Step-by-step explanation:

The solution and filled in Venn diagram is attached

4 0
3 years ago
Use the rule (x,y) (3x,2y) to find the image for the preimage defined by the given points.
Elina [12.6K]

Answer: The points of the images are  (9,10), (15,6), (6,4)  and the image is not a rigid motion because the shape changes in side.

Step-by-step explanation:

Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.

A(3,5) → (3*3,5*2) → (9,10)

B( 5,3) → (5*3, 3*2) → (15,6)

C ( 2,3)→ (2*3, 2*2)→ ( 6,4)

4 0
4 years ago
Other questions:
  • A 12-foot ladder rests against a wall. The ladder is placed 5 feet from the base of the wall. Find the angle the ladder makes wi
    8·1 answer
  • When a statistic calculated from sample data is used to estimate a population parameter, it is called a point estimate?
    15·1 answer
  • You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose fro
    14·1 answer
  • bob removed 24 fish for his pond over a period of 8 days. He removed the same number of fish each day what was the change in the
    10·2 answers
  • -4x + 8 &gt; 12 inequality solution ?
    7·1 answer
  • Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
    9·1 answer
  • Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
    8·1 answer
  • PLEASE HELP GUYS ARE BOTH THESE CORRECT!
    14·1 answer
  • The volume of a sphere of radius 3 cm is
    14·1 answer
  • Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget s
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!