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
MAXImum [283]
3 years ago
9

What is x and y math help

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0
<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).

You might be interested in
A college student has taken a summer job to help pay swishing in one week he earned the following amounts Monday $45.90 Tuesday
matrenka [14]
$250 is the answer but if u add and then do division and boom ur answer is $250
3 0
3 years ago
Read 2 more answers
Help please with math
Annette [7]

Answer:

(2 x a)+(3 x b)+c=total points

Step-by-step explanation:

7 0
3 years ago
Find the gradient of the line segment between the points N(-1,2) and M(-6,3)​
siniylev [52]

Answer:

1/5

Step-by-step explanation:

Gradient is another word for slope. To find the gradient, we have to use a formula.

8 0
3 years ago
What is 9147392 the Rounded nearest thousand
Yuliya22 [10]

Answer: 9,147,000

Step-by-step explanation:

6 0
3 years ago
If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?
Ierofanga [76]
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.
4 0
3 years ago
Other questions:
  • PLZZZ HELP ME WITH #3
    6·2 answers
  • Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
    7·1 answer
  • A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II u
    13·1 answer
  • John drinks 40 ounces of water per day. How many cups of water does John drink per day?
    9·1 answer
  • 15 points I need help plz ASAP
    8·1 answer
  • Solve the system graphically:<br><br><br> b <br><br> x−y=0<br> 2x+3y=−5<br> x=<br> y=
    5·1 answer
  • Round it to the nearest hundredth if necessary 75kg=? Lb
    15·1 answer
  • In the following: i. Find the zeros of each function
    12·1 answer
  • Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he trav
    8·1 answer
  • Image. please help!!​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!