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
kiruha [24]
3 years ago
14

Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of

money on the gift card was $30 and after buying 6 cups of coffee, the card had a $12 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee
Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

A= −3x+30

A=30 when x=0  which is the y−intercept.

(0,30) is a point on the graph

A=12 when x=6.

Find the slope using the two points

12-30/6-0= -18/6=-3

 

You might be interested in
5 5/6 - 3 1/3 simplest form<br><br><br>a. 2 2/3 <br><br>b. 9 1/6<br><br>c. 2 1/2<br><br>d. 8 1/2
ipn [44]

Answer:

The answer to the question provided is 2 \frac{1}{2}.

5 0
3 years ago
What is x and y math help
Readme [11.4K]
<h3>Answer:</h3>
  • 20 cans of cola
  • 10 cans of root beer
<h3>Step-by-step explanation:</h3>

x and y are whatever you want them to be.

It can be convenient for solving a problem like this to use x and y to represent <em>what the problem is asking for</em>: the number of cans of cola and the number of cans of root beer. It is also convenient (less confusing) to use those variable names in the same order that the nouns of the problem are named:

... x = # of cans of cola

... y = # of cans of root beer

Then the problem statement tells you ...

... x + y = 30 . . . . . . . 30 cans total were bought

... x = 2y . . . . . . . . . . the number of cans of cola is twice the number of cans of root beer

_____

This set of equations is nicely solved by substitution: use the second equation to substitute for x in the first.

... (2y) +y = 30 . . . . . put 2y where x was

... 3y = 30 . . . . . . . . collect terms

... y = 10 . . . . . . . . . divide by 3

... 2y = x = 20

<em>You're not done yet. You need to answer the question the problem asks.</em>

Jared bought 20 cans of cola and 10 cans of root beer.

_____

<em>Comment on x and y</em>

You customarily see x and y as the variables of a problem. Personally, I like to use variables that remind me what they stand for. In this problem, I might use "c" for cans of cola and "r" for cans of root beer. Then when I've found the solution, I know exactly how it relates to what the question is asking.

Always start by writing down what the variables stand for (as we did here). Sometimes, this is called <em>writing a Let statement</em>: <u>Let</u> x = number of colas; <u>let</u> y = number of root beers.

<em>Comment on problems of this type</em>

When a proportional relationship is given between the items in a sum (2 cola cans for every root beer can), it is often convenient to work the problem in terms of groups of items. Here, a group of 3 items can consist of 2 cola cans and 1 root beer can. Then 30 items will be 10 groups, so 10 root beers and 20 colas. The problem is solved even before you can name the variables.

Even when the relationship isn't exactly proportional, you can add or subtract the extras and still work the problem this way. Had we said colas numbered 3 more than twice as many root beers, we could have our groups of 3 total 27 (30 less the 3 extra), giving 9 root beers and 21 colas (3 + 2·9).

8 0
3 years ago
Pls help and explain it how i do i this &lt;3
jolli1 [7]

Answer:

You input the equation they give you into the table to get an outcome. The Equation they gave you is x=y. simply, what ever X is, thats what y is. x=y. On the table it says that X is 3. If x is 3 then y is three because they are equal. if X is 7 then Y is 7. its the same throughout the whole table. To write it as an ordered pair you write (X,Y) if x is three y is three so the ordered pair would look like (3,3)

4 0
3 years ago
Solve. 5x - 5 = 50 A) x = 8 B) x = 9 C) x = 10 D) x = 11
Angelina_Jolie [31]
The answer would be D) x = 11.

Add 5 to both sides (5x = 50 + 5)

Simplify 50 + 5 to 55 (5x = 55)

Divide both sides by 5 (x = 55/5)

Simplify 55/5 to 11 (x = 11)
4 0
3 years ago
Read 2 more answers
6x + 4y=10 12x + y= -29
Olin [163]

Answer: x=-3    y=7.

Step-by-step explanation:

\displaystyle\\\left \{ {{6x+4y=10\ \ \ \ \ (1)} \atop {12x+y=-29\ \ \ \ (2)}} \right.\\  We\  multiply\  both\  sides\  of\  equation\  (1)\  by\  -2:\\\left \{ {{(-2)*6x+(-2)*4y=(-2)*10} \atop {12x+y=-29}} \right. \\\\\left \{ {{-12x-8y=-20} \atop {12x+y=-29}} \right. \\We\  summarize\  equations\  (1)\  and\  (2):\\-7y=-49\\-7*y=-7*7\\Divide\  both\  sides\  of\  the\  equation\  by\  -7:\\y=7.\\We\  substitute\  the\  value\  of\  y\  into \ equation\  (1):\\6x+4*7=10\\6x+28=10\\6x+28-28=10-28\\6x=-18\\6*x=6*(-3)\\Divide\  both\  sides\  of\  the\  equation\  by\  6:\\x=-3.

3 0
2 years ago
Other questions:
  • What is the measure of angle x?
    7·1 answer
  • Use the ratio table to find the unit rate with the specified units. (Last problem on my homework)(PLEASE HELP ME! )
    8·1 answer
  • Please help!!!!!!!!!!
    7·1 answer
  • 200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
    13·1 answer
  • Which of the following best describes the English expression the quotient of nine and the sum of a number and one
    5·1 answer
  • Explain why u would make one of the ascends a tens number when solving an addition problem
    5·1 answer
  • Need help with this assoon as possible
    8·2 answers
  • The sum of the reciprocal of a number and 3/5 is 7/10 find the number
    11·1 answer
  • Please help me !! :)
    5·1 answer
  • Find all missing angles.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!