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
Likurg_2 [28]
3 years ago
5

Two numbers differ by 9. the large number is 20 greater than half of the smaller number. find the two numbers

Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0
Using x to represent the larger number and y to represent the smaller number, do this:
x - y = 9
x = 1/2y + 20
(1/2y + 20) - y = 9
(1/2y - y) + 20 = 9
-1/2y + 20 = 9
         -  20  - 20
-1/2y = -11
Divide each side by -1/2 to find y
y = 22
Plug the y value into the first equation
x - 22 = 9
  + 22 + 22
x = 31

The larger number is 31 and the smaller number is 22
yanalaym [24]3 years ago
6 0
Large = 20+ 1/2 of small and,

Large-small =9 so if we put back the 9 to the small one will get the large number
Large=9+small

Now we can see that
20+small/2 =9+ small
20-9=small-small/2
11=half of small so small is 22

Large = 20 + 11=31
You might be interested in
Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g
expeople1 [14]

Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%

<h3>How to calculate the percent error?</h3>

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\

(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)

For the given case, it is specified that:

Actual weight of dog = 32.7 pounds

Guessed weight of dog, by Charlie : 34.5 pounds.

Error = 32.7 - 34.5 = -1.8 pounds

Thus, percent error in Charlie's guess is calculated as:

\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%

Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%

Learn more about percent error here:

brainly.com/question/25749180

3 0
2 years ago
Which do the following equations represent? -4x-5y=-4 and 10x-8y=-1
kicyunya [14]
Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.

Find slopes of these lines.

-4x-5y=-4
-4x+4 =5y
Divide by 5

Y= -4x/5 +4/5

Second line: 10x-8y=-1

10x+1=8y
Divide by 8

10x/8 +1/8 =y

Y= 5x/4 +1/8

So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
5 0
3 years ago
Samantha's notebook has 14 pages more than three times as much as Lisa's notebook. If Samantha's notebook has 260 pages , how ma
Sever21 [200]
Your answer is  B.82                                             
4 0
3 years ago
Read 2 more answers
Daniel rides his bicycle 21km west and then 18km north. How far is he from his starting point?
insens350 [35]

This is a right triangle. To find the length of the hypotenuse a^2 + b^2 = c^2.

21^2 + 18^2 = c^2

441 + 324 = c^2

765 = c^2

27.66 km

6 0
3 years ago
Ten times the sum of half a number and 6 is 8.
Sedaia [141]
That would be 

10( \frac{1}{2} n + 6) = 8
\frac{1}{2} n+6= \frac{8}{10}
.5n + 6 = .8
.5n = -5.2
n=-2.6

Hope that helps :)
8 0
3 years ago
Other questions:
  • Find the volume of the composite solid. Round your answer to the nearest hundredth.
    10·1 answer
  • a camera droppeed from a boat descends 9 meters every minute. What will be the change in location of the camera afterb5 minutes?
    7·2 answers
  • The table shows five transactions and the resulting account balance in a bank account, except some numbers are missing. Fill the
    11·2 answers
  • On Friday Colby woke up and took 30 minutes to get ready for school. He left for school right away a trip took 15 minutes. He wa
    7·1 answer
  • Yoshi is making a picture graph each picture of a soccer ball stand for two gold he scored for his team the rule for January has
    12·1 answer
  • What is 18/90 in simplest form?
    12·2 answers
  • How do I evaluate <br> F(-1/4)=4x-18
    6·1 answer
  • Manuel has a remaining balance of $563 on his credit card. His credit card company has an APR of 15 percent. How much will Manue
    7·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!
    6·1 answer
  • I need this please help
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!