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
Kay [80]
3 years ago
5

One number added to three times another number is 24. Five times the first number added to three times to other number is 36. Fi

nd the numbers
Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

The numbers are 3 and 7

Step-by-step explanation:

Let the first number be x and the second number be y

Then according to given statement

One number added to three times another number is 24

x+3y=24     Eqn 1

Five times the first number added to three times to other number is 36

5x+3y=36      Eqn 2

Subtracting Equation 1 from equation 2

5x+3y-(x+3y)=36-24\\5x+3y-x-3y=12\\4x=12

Dividing both sides by 4

\frac{4x}{4}=\frac{12}{4}\\x=3

Putting x=3 in equation 1

3+3y=24\\3y=24-3\\3y=21

Dividing both sides by 3

\frac{3y}{3} = \frac{21}{3}\\y=7

Hence,

The numbers are 3 and 7

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/5059091
  • brainly.com/question/5069437

#LearnwithBrainly

You might be interested in
How many integers are there from 52 to 89 inclusive?
Dafna1 [17]
When you're counting inclusively, you subtract the numbers and add one. Here, it's 89-52+1=38 numbers.
8 0
4 years ago
What’s the definition of net
timurjin [86]

Answer:

it is the surface of the 3d shape spread out like an blue print

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.
sergey [27]
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
6 0
2 years ago
PLZ HEEEELP!!!!! 10 POINTS!!!!
katrin2010 [14]

Answer:

Step-by-step explanation:

Part a

We need two inequalities, one for time worked at each job and the other

for amounts of money earned.

time:  Let b and c represent the time (number of hours) worked at babysitting and landscaping respectively.  Then b + c ≤ 20 hrs/wk

earnings:  Let ($3/hr)(b) represents the amount of money earned babysitting for b hour.  Let  ($7/hr)(c) represent the money earned working at landscaping.  These amounts are <em>per week</em>.  The appropriate inequality is  ($3/hr)(b) +  ($7/hr)(c) ≥ $84 per week.  The other inequality is

b + c ≤ 20 hrs/wk.

Part b:

As before, b + c ≤ 20 hrs/wk.  What happens if Chet spends all his 20 hours babysitting?  To answer this, set c = 0 (no landscaping hours).  Then b ≤ 20 hours.  At $3/hr, he could earn only $60 and have no time left for landscaping.  Not good.

Let's experiment:  suppose he works 15 hours babysitting and 5 hours landscaping.  His earnings would be $45 + $35, or $80.  Still not enough; he wants to earn $84 total.    Let's redistribute his time and try again:  suppose he works 14 hours babysitting and 6 hours landscaping; his earnings would be $42 + $42, or $84.  So {b = 14 hours and c + 6 hours} is a solution.  As we continue to reduce the number of hours Chet works babysitting and correspondingly increase those he works landscaping, his earnings will go up, beyond $84.

Here's a table that summarizes this:

babysitting          landscaping    total amount

  hours                   hours               earned

      15                          5                      $60 (not acceptable)

       14                         6                       $84 (borderline acceptable)

       12                          8                       $36 + $42 = $78 (great)

        6                          14                       $116 (greater still)

         2                          18                     $132

          1                           19                      $134

          0                          20                      $140

Summary:  Chet can work anywhere from 0 to 14 hours babysitting and expect to earn $84 or more.

4 0
3 years ago
Uh please help 8x-4y=-4 <br> -3x+4y=5 <br> Subtract second equation from the first
crimeas [40]

Answer:

11x -8y = -9

Step-by-step explanation:

8x-4y=-4

-3x+4y=5

Subtract the second equation from the first

8x-4y=-4

-(-3x+4y=5)

-----------------------------

Distribute the minus sign

  8x-4y=-4

+(3x-4y=-5)

-----------------------------

11x -8y = -9

5 0
3 years ago
Other questions:
  • What is the volume of the figure?
    11·1 answer
  • The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil
    9·1 answer
  • A washer and dryer cost $602 combines. The washer costs $48 less than the dryer. What is the cost of the dryer?
    14·1 answer
  • Solve the system of nonlinear equations: <br><br> 4x - y = 4<br> x^2 - y = -1
    15·1 answer
  • Suzy decided to purchase 3 points in order to lower her interest rate on her 125,000 mortgage
    7·1 answer
  • Please help! I'll upvote all responses.
    5·1 answer
  • Help please! Use the area to find the value of x:
    11·1 answer
  • What is the vertex form of this equation x^2-20x+91=7
    13·2 answers
  • Given the functions f(×)=-×2+9 and g(×)=6-2×
    9·1 answer
  • Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!