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
daser333 [38]
3 years ago
5

help!! we are learning ‘applying systems of equations’ and i don’t understand it! Please, please please help!

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

Step-by-step explanation:

This type of problem requires you to identify what the unknown quantities are and then to set up your own equations to find their values algebraically.

In the above problem, there are two people, Troy and Caitlin.  Let t represent Troy's earnings and c represent Caitlin's.  The problem asks us to find the value of t.

"Caitlin earned $5 more than twice what Troy earned," translated into a symbolic equation, would be  c = 2t + $5.

"The sum of their earnings was $80" translates into c + t = $80.

We need to solve this "system of linear equations."  One way of doing that is by substitution; we see that c = 2t + $5.  Thus, 2t + $5 can be subbed for c in the equation c + t = $80:

2t + $5 + t = $80

We need to solve this equation for t.

Combining the "t" terms results in 3t + $5 = $80.

Subtracting $5 from both sides results in 3t = $75.

Dividing both sides of this result yields t = $25.

We have to come to conclusions and share them in a sentence or two:

Troy earned $25.  Caitlin, who earned twice as much as Troy, plus $5, earned 2($25) + $5, or $55.

We check this by determining whether that $55 and that $25 add up to $80.  They do!

You must mimic the language of the problem in writing out your answer:  "Caitlin earned $55 last month."

You might be interested in
What is the solution to x-4y=-5 and -x+6y=7
Triss [41]
<span>  x - 4y = -5
-x + 6y = 7
---------------add
       2y = 2
         y = 1

</span>     x - 4y = -5 
  x - 4(1) = -5 
      x - 4 = -5
           x = -1

answer
x = -1 and y = 1
8 0
3 years ago
Quadratic equations <br> 9 + 2x2 + 2 =0
TiliK225 [7]

Answer:i kinda don't understand but i guess you mean sqrt11/2?

Step-by-step explanation:2x^2+11=0 easy move

4 0
2 years ago
What is the lcm of 2 numbers if one is the multiple of the other
Anastaziya [24]
It would all depend on the number and the factors they have. 

For example: 

A. What is the LCM of 4 and 8? As you can see, 8 is a multiple of 4 since 4×2=8 
But 4 is NOT a multiple of 8 so that means 8 is the LCM.

B. What is the LCM of 3 and 6? As you can see, 6 is a multiple of both 3 and 6 but 3 is not a multiple of 6

Answer: So based off on what I showed you, the LCM of two numbers where one is the multiple of the other number is the multiple of the other number. In other words, the bigger of the two numbers
6 0
3 years ago
Find an equation for the contour of f(x,y)=2x2y+7x+20f(x,y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).
alexandr1967 [171]
That equation will be
.. f(x, y) = f(3, -2)
.. 2x^2y +7x +20 = 2*3^2*(-2) +7*3 +20

2x^2*y +7x +20 = 5

6 0
3 years ago
Ariana has 2/3 quart of milk. She uses 3/4 of it in a cookie recipe. How much milk did Ariana use In her recipe?
soldier1979 [14.2K]
In mathematics, sometimes the word 'of' means 'multiply'.

\frac{2}{3} * \frac{3}{4} = \frac{6}{12}

Simplify.

\frac{6}{12} = \frac{1}{2}

So, 1/2 is the answer.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please! Thanks
    15·1 answer
  • In the first quadrant you start at (7,3) and move 5 unit left
    9·1 answer
  • Rewrite the expression using exponents .Then find the product
    15·1 answer
  • Please help I'll give brainliest
    13·1 answer
  • Si tienes un rectángulo de área igual a x2 + 5x¿Cuál de las siguientes factorizaciones nos presenta el producto de la base por l
    14·1 answer
  • Evaluate 3 - 24 = 8 + 4^2.<br> A 0<br> B 2<br> C 16<br> D 24
    11·1 answer
  • Which statement is true about this argument?
    13·1 answer
  • 23,674=38<br> ---------------<br> b
    7·1 answer
  • Find the slope of a line that contains the points (0,1) and (1,3)
    6·2 answers
  • A traffic study determined that a larger city population indicates a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!