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
natka813 [3]
1 year ago
11

One number is 23 more than another. If the sum of the two numbers is 163, find the two numbers.

Mathematics
1 answer:
kipiarov [429]1 year ago
5 0

ANSWER

93 and 70

EXPLANATION

We have that one number is 23 more than another.

Let the first number be x.

Let the second number be y.

This means that:

x = 23 + y ____(1)

The sum of the two numbers is 163. This means that:

x + y = 163 ____(2)

Put (1) in (2):

23 + y + y = 163

23 + 2y = 163

2y = 163 - 23

2y = 140

y = 140 / 2

y = 70

From (1):

x = 23 + 70

x = 93

The two numbers are 93 and 70.

You might be interested in
A function has a constant tripling time. What type of function does this represent?
Olenka [21]
This would be an exponential function.

Exponential functions are of the form 

y = a*bˣ, where a is the initial value, b is the rate the function changes by, and x is the time period.  Since this triples, b would be 3.
5 0
3 years ago
Read 2 more answers
What is the function rule for the output is one-fourth the input?
lyudmila [28]
Just divide the input by 4.

f(x) = x/4
8 0
3 years ago
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
skad [1K]

5-2x2=-15

Two solutions were found :

                  x = ± √10 = ± 3.1623

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5-2*x^2-(-15)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (5 -  2x2) -  -15  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20 - 2x2  =   -2 • (x2 - 10)

Trying to factor as a Difference of Squares :

3.2      Factoring:  x2 - 10

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 10 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  3  :

 -2 • (x2 - 10)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x2-10 = 0

Add  10  to both sides of the equation :

                     x2 = 10

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 10  

The equation has two real solutions  

These solutions are  x = ± √10 = ± 3.1623  

Two solutions were found :

                  x = ± √10 = ± 3.1623

6 0
2 years ago
The weight of an elephant is 10 time power of 3 the weight of a cat. If the elephant weighs 14,000 pounds, how many pounds does
Keith_Richards [23]
The weight of the cat is 14 pounds. I found my answer by reading the 10 time power of 3, which I know is 1,000. Then, I got 14,000 divide by 1,000, and I got 14.
5 0
2 years ago
14. What is the value of (15^4)^2/ 15^8
andriy [413]

Answer:

1 is the answer to your question mate

7 0
3 years ago
Read 2 more answers
Other questions:
  • Provide one specific example of a chart and one specific example of a graph in a business situation in which you would best be a
    6·1 answer
  • The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a st
    9·1 answer
  • Cheddar cheese costs $4.50 per pound at the deli counter. Which equation best represents y, the total cost of x pounds of chedda
    12·2 answers
  • Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 2.3, 2.9, 4.3, 3.8. Calculat
    7·1 answer
  • How do you grow your own equations
    6·1 answer
  • Use the binomial theorem to expand (d-4b)^3 <br>Please explain.
    13·1 answer
  • PLS HELP ME!!?!?!?!? Ok so Steve had a $6.00 coupon to the school store. Steve used his coupor Each notebook cost the same amoun
    15·1 answer
  • Solve for x round to the nearest tenth if necessary
    10·1 answer
  • PLEASEEE I NEED HELP ASAPPPPPP DUE IN 6 MINS! PLEASE
    6·1 answer
  • HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!