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
scoundrel [369]
3 years ago
9

What are two numbers that add up to 43 and their difference is 11?

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

27 and 16

Step-by-step explanation:

x + y = 43

x - y = 11

You can add up the two equations so the ys are cancelled out.

2x = 54

x = 27

Plug x in to find y.

27 - y = 11

y = 16

You might be interested in
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore the equation of circle is x^2+y^2=65.

5 0
3 years ago
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
3 years ago
Pls help! What is the value of X?
Alex73 [517]

Answer:

X=4

Step-by-step explanation:

Figure B is .8 times the size of Figure A, so to find the value of x you would take the scale factor and multiply it by 5 in this case.

3 0
4 years ago
Simplify: -6x+3y-2x-5y
meriva

Answer:

-8x-2y

Step-by-step explanation:

Combine Like Terms (-6x + -2x) and (-5y + 3y).

5 0
3 years ago
Read 2 more answers
Can you tell de answer?
kodGreya [7K]
Yes, it’s D because you would have want to compare both fractions by making them have the same denominator. Since 60 is the least common denominator for 10 and 12 (the denominators), you would convert the fractions by multiplying the numerator and denominator of 5/10 by 6 to get 60. 5/10 would turn into 30/60. Then you would multiply 6/12 both by 5, and then it would turn into 30/60. Now that you have equal fractions, you can guess that they are the same. Therefore, 30/60=30/60! An easier way of doing it would be just simplifying them into 1/2 and comparing them + seeing that they are both 1/2. Hope this helps!

•••

Caramelatte
7 0
3 years ago
Other questions:
  • A package of 12 cans of beans cost $6.84. what is the cost of ONE cost of beans?
    7·2 answers
  • Does subtraction exhibit the property of closure over the set of real numbers.
    6·1 answer
  • Describe how to model 2 digit by 2 digit multiplication using an area model
    5·1 answer
  • terry ate 4 less cookies than jack. alvin ate four times as many cookies as terry. if x represents the number if cookies that ja
    12·1 answer
  • What is the remainder of (x 3 + 5x 2 − 32x − 7) ÷ (x − 4)?
    10·1 answer
  • A gift box is 14 inches long, 8 inches wide, and 4 inches high. How much wrapping paper is needed to wrap the gift box?
    13·2 answers
  • What is the slope of the line below
    7·1 answer
  • 16. Which is greater, 4-2 or<br> 2-4? How do you know?
    13·2 answers
  • Which statement correctly describes the expression 6(-16)
    11·2 answers
  • The sum of a number and twenty-one is sixty-four.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!