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
Law Incorporation [45]
2 years ago
15

Find the value of two numbers if their sum is 21 and their difference is 5

Mathematics
1 answer:
kykrilka [37]2 years ago
6 0

Answer: x = 13 and y = 8

Step-by-step explanation:

Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.

x + y = 21

Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.

x - y = 5

We can now solve a system of equations for x.

x = y + 5

y + 5 + y = 21

2y + 5 = 21

2y = 16

y = 8

x - 8 = 5

x = 13

So x = 13 and y = 8

You might be interested in
Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r
lakkis [162]

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

E_2 = (\frac{4}{5})^{-1} = 1.25

For the next unique toy, there is now a 3 in 5 chance of getting it:

E_3 = (\frac{3}{5})^{-1} = 1.67

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

E_4 = (\frac{2}{5})^{-1} = 2.5

Finally, there is a 1 in 5 chance to get the last unique toy:

E_5 = (\frac{1}{5})^{-1} = 5

The expected number of boxes to obtain a full set is:

E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes

5 0
2 years ago
What is an equation of the line that is perpendicular to -x+2y=4 and passes through the point (-2, 1)?
KATRIN_1 [288]
First: Slope of -x+2y=42y=x+4y=x/2+2So, m=1/2.
Second: Slope  of the perpendicular line: mp=-2.
Third: Find the line with slope -2 and passes through the point (−2, 1)y-y1=m(x-x1)y-1=-2(x+2)y=-2x-4+1y=-2x-3 

Read more on Brainly.com - brainly.com/question/7942650#readmore

5 0
2 years ago
Determine if biconditional is true. <br> A) Felipe is a swimmer if and only if he is an athlete.
Fynjy0 [20]
It is not a true biconditional.
6 0
3 years ago
Santo made 4 less than twice as many cupcakes as Lynn. Write an equation to represent the number of cupcakes that Santo made.
pickupchik [31]

Santo made 4 less than twice as many cupcakes as Lynn.


x * 2 - 4

5 0
2 years ago
When using statistics in a speech, you should usually Group of answer choices manipulate the statistics to make your point. cite
NARA [144]

Answer:

Avoid Using too many statistics

Step-by-step explanation:

when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.

Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.

3 0
3 years ago
Other questions:
  • What is a financial risk of being a home owner
    15·1 answer
  • X+y=-3 find the intercepts
    14·1 answer
  • Which is an estimate of the square root of 14 to the nearest hundredth?
    8·2 answers
  • The lines y = 3x + 4 and y = 3x - 17 are perpendicular
    8·1 answer
  • Solve for q<br><br> - 3/4q = 12 <br><br> q = ___
    11·2 answers
  • Which property could be used to find the missing number?
    14·1 answer
  • PLEASE HELP URGENT!!! 90 POINTS
    13·1 answer
  • 40 POINTS!!! PLEASE ANSWER SOON. WILL MARK BRAINLIEST
    6·1 answer
  • What is the constant of proportionality between y and x in the graph?
    7·1 answer
  • A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle h
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!