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
Determine the product of -8 and -4.
Romashka-Z-Leto [24]
-8 * -4 = 32

Just multiply both numbers and negatives cancel
3 0
2 years ago
Conner and Jana are multiplying (3568)(39610).
shepuryov [24]
Jena work is correct

7 0
2 years ago
Read 2 more answers
Draw the triangle that is the image of the given triangle after dilation with center ​(0​,0​) and a scale factor of 1/4 (one fou
solong [7]

Hey there!

Your answer is C.

If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.

12 x 1/4 = 3

4 x 1/4 = 1

So, the legs of our new triangle have lengths of 1 and 3.

We can see that option C has the correct triangle in red.

If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.

The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.

The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.

These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.

Hope this helps!  

6 0
3 years ago
Jane moved from a house with 69 square feet of closet space to an apartment with 40.02 square feet of closet space. What is the
den301095 [7]

Answer:

29.98

Step-by-step explanation:

You subtract the 69 from the 40.02 and ypu get 29.98

8 0
2 years ago
Read 2 more answers
Mr. Gomez took his family to the zoo and spent $30.50 on drinks and food. He spent $14 on drinks that cost $1.75 each. He spent
OLga [1]
30.50-14= 16.50
16.50 divided by 2.75= 6
The answer is 6
8 0
2 years ago
Other questions:
  • Express in simplest radical form.<br> √6+ 5√54
    15·2 answers
  • What is the rate of change from 2<br> gallons to 4 gallons? Pls I need help!!
    7·1 answer
  • Please help ASAP!!!!!!!
    15·1 answer
  • An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
    11·1 answer
  • The difference between the digits of a two digit number is 1. The number itself is more than 5 times the sum of the digits. If t
    12·1 answer
  • Write an equation of a line parallel to the line
    14·1 answer
  • What is the equation of this line?<br> •y=-3/2x<br><br> •y=3/2x<br><br> •y=-2/3x<br><br> •y=2/3x
    15·1 answer
  • What is the volume of the following rectangular prism?
    14·1 answer
  • I need help I will give brainiest​
    9·1 answer
  • \dfrac k{2}+\dfrac12=3 <br> 2<br> k<br> ​ <br> + <br> 2<br> 1<br> ​ <br> =3
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!