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
The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp
Elena-2011 [213]

Answer:

a. 20520

b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

Adding that up we have:

12000 + 600 = 12600.

4 0
3 years ago
Stacy exercises 3 days each week by walking around the soccer field near her home the field is 80 yards wide and 115 yards long
zhenek [66]

a: draw a rectangle an label one side 80 and the other 115

b: 1560 Yards

6 0
3 years ago
A right cylinder is sliced parallel to its base.
Marat540 [252]

Answer:

The answer is a circle. Sorry if it is too late to help you. Maybe it will help someone else.

Step-by-step explanation:

I just took a test with the same question. Proof of right answer is attached.

5 0
2 years ago
Read 2 more answers
Use completing the square to solve for x in the equation (x+7)(x-3) = 25.
Juliette [100K]

Answer:

please can ur equation and send it again ....I will help you

6 0
3 years ago
Which of the following is an example of a permutation?
N76 [4]

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.

<h3>What are Permutation and Combination?</h3>

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.

Hence, the correct option is D.

Learn more about Permutation and Combination:

brainly.com/question/11732255

#SPJ1

7 0
2 years ago
Other questions:
  • An airplane 30,000 ft above the ground begins descending at a rate of 2,000 ft per minute. Write an slope-intercept form that mo
    11·1 answer
  • Name the intersection of planes ABFE and BFCD.
    8·1 answer
  • Is 0.009 greater or less than .9
    7·1 answer
  • If JK and LM are parallel which statements are true? select all that apply.
    5·1 answer
  • Dominique and his friends are going on a road trip that is 381.1 miles long. If they have 214.43 miles until their destination,
    8·2 answers
  • Which expression are equivalent to z+(z+6)?​
    12·1 answer
  • ian's car can go 99 miles on 3 gallons of gas During a drive last​ weekend,Ian used 7 gallons of gas.How far did he drive?Use pe
    15·2 answers
  • What is (8+7 + 3.3) times ( 1/2) ^2
    14·1 answer
  • Help I need it :| :|
    12·1 answer
  • Given the directed line segment AB: Point A is the _____ with coordinates Point B is the point with coordinates ______.​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!