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
Helen [10]
3 years ago
7

the sum of two numbers is 18. twice the first number increased by three times the second number equals 40. find the numbers

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

4 and 14

Step-by-step explanation:

:the sum of two numbers is 18" can be written as

 x + y = 18               let x represent the first number, and y the second

"twice the first number increased by three times the second number equals 40" can be written as

2x + 3y = 40

Now solve this system. Using elimination will probably be the easier method...

1.   x +  y = 18

2.  2x + 3y = 40

Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.

1.  -2x - 2y = -36

2.  2x  + 3y = 40

Now add the equations together, cancelling out 'x'

y  = 4     ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)

Since y = 4, plug that into either equation 1 or 2 and solve for x

1.  x + 4 = 18     (y becomes 4)

     x = 14        (subtract 4 on both sides to isolate 'x')

You might be interested in
Please I need help!!!
Valentin [98]

Answer:

Solution given:

for second

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

7 0
3 years ago
Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

  • a free single scoop cone = f

<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
  • children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

  • 65 < f ≤ 4

<h3>2.</h3>
  • On Tuesdays, the least amount of flavors = 8
  • The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

  • Least amount of flavors ≤ f ≤ total amount of flavors  
  • 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
2 years ago
Evaluate -6-(-6) +7+(-4) + (-1).​
frutty [35]

<em>solution</em><em> </em><em>:</em><em>-</em><em>-</em>

  • = -6 + 6 + 7 - 4 - 1

  • = 6 + 7 - 6 - 4 - 1

  • = 13 - 11

  • = 2
3 0
3 years ago
Five years ago, you invested $475 in corporate stock. You received dividends of $10 at the end of each quarter for two years. Yo
RUDIKE [14]

The rate of return earned on the investment of $475 five years ago in the corporate stock is 312.63%.

<h3>What is the rate of return?</h3>

The rate of return is the net gain or loss of an investment expressed as a percentage of the investment's initial cost.

It is given by the formula,  R= {Vf - Vi}/{Vi} x 100.

Where:

R = Rate of return

Vf = final value, including dividends and interest

Vi = initial value

<h3>Data and Calculations:</h3>

Investment cost = $475

Dividends received:

1st two years = $80 ($10 x 8)

Three years = $180 ($15 x 12)

Total dividends received = $260 ($80 + $180)

Total revenue from sale = $1,700

Total proceeds = $1,960 ($1,700 + $260)

Total return = $1,485 ($1,960 - $475)

Rate of return = 312.63%  ($1,485/$475 x 100)

Thus, the rate of return is 312.63%.

Learn more about calculating the rate of return at brainly.com/question/14220025

#SPJ1

8 0
2 years ago
How to solve 4(a-2)=3(a+4)
Blababa [14]
Use the distributive property.
4a - 8 = 3a + 12
Arrange the like terms.
4a - 3a = 12 + 8
a = 20
That is the answer. <span>☺️</span>✌️
5 0
3 years ago
Other questions:
  • This is the question help
    7·1 answer
  • Which is the best estimate for the difference of 9/16-4/9
    7·1 answer
  • 5 PIONTS+ BRAINLYESS
    13·2 answers
  • What is the answer and steps to -3(5-9v)=25+7v
    5·2 answers
  • Solve the equation = 15 points<br><br>-2 = 3x/5 + 1​
    8·2 answers
  • Could someone explain how to solve problems like these? and give the answers?
    8·1 answer
  • Help me plzzzzzzzzzzzzzzzzzzz
    12·1 answer
  • .....pleazeeeeeeee helpppppppppp
    7·2 answers
  • How much wood could a wood chuck if 100 wood was timed by 24?
    7·1 answer
  • Solve this equation for x. Round your answer to<br> the nearest hundredth.<br> 3 = In(x + 9)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!