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
VladimirAG [237]
2 years ago
5

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

han the other number?
Mathematics
1 answer:
Viefleur [7K]2 years ago
6 0

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

You might be interested in
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is
oksano4ka [1.4K]
It Does Not Matter Where You Put The Line, As The Slope Stays The Same. So, We Can Say That One Point Is (3,0)
(3,0) and (6,6)
So, The Slope Is 2.
6 0
3 years ago
Read 2 more answers
The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v?
alexandr402 [8]

Answer:

Step-by-step explanation:

E=\frac{1}{2}mv^2

All the variables on the right are being multiplied together then the whole mess is being divided by 2.  Let's get rid of the 2 first.  The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

2E=mv^2

Next we will move the m. The undoing of multiplication is division.  So we divide both sides by m to get

\frac{2E}{m}=v^2

The undoing of a square is to take the square root, so we will do that to both sides giving us, finally

\sqrt{\frac{2E}{m} }=v

6 0
3 years ago
Read 2 more answers
Solve the system of equations using substitution
Andru [333]

Answer:

x = 136/11 , y = 68/11

Step-by-step explanation:

Solve the following system:

{6 x - y = 68

2 y = x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{6 x - y = 68

2 y = x

Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.

2 y = x is equivalent to x = 2 y:

{6 x - y = 68

x = 2 y

Hint: | Perform a substitution.

Substitute x = 2 y into the first equation:

{11 y = 68

x = 2 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{11 y = 68

x = 2 y

Hint: | Solve for y.

Divide both sides by 11:

{y = 68/11

x = 2 y

Hint: | Perform a back substitution.

Substitute y = 68/11 into the second equation:

{y = 68/11

x = 136/11

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 136/11 , y = 68/11

7 0
3 years ago
Easy Area problem <br><br> Need it fast
Gekata [30.6K]

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

5 0
3 years ago
How to get 14 equal pieces from 6.3m of cord
vovangra [49]
You cut the pieces 2.2cm each
7 0
3 years ago
Other questions:
  • Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i
    5·1 answer
  • What is the approximate area of a circle with a radius of 15 ft?
    12·1 answer
  • What is 3/4 - 9/12. plz help
    14·2 answers
  • Easy question about a circle :)
    10·2 answers
  • Please answer whoever answer correct gets a brainlest Which character trait of Kim’s does the narration revel in this passage
    5·2 answers
  • In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mr
    8·1 answer
  • Solve the equation formed when f ( x ) = g ( x ).
    11·1 answer
  • Patti went to the bakery. She bought a loaf of bread for $3.49, 6 muffins that cost $1.25 each, and a bottle of juice for $1.79.
    14·1 answer
  • Please help me! Thank you!
    7·2 answers
  • Find the amount in a continuously compounded account for the following condition. ​Principal, ​$​4000; Annual interest​ rate, 5.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!