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
ahrayia [7]
3 years ago
6

Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

Step-by-step explanation:

Let's identify what we are looking for in terms of variables.  Sandwiches are s and coffee is c.  Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c.   Those all put together on one bill comes to 26.  So Casey's equation for his purchases is 3s + 5c = 26.  Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23.  Eric's equation for his purchases then is 4s + 2c = 23.  In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's.  The coefficients on the s terms are 4 and 3.  4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out.  4[3s + 5c = 26] means that 12s + 20c = 104.  Multiplying the second  bolded equation   by -3:  -3[4s + 2c = 23] means that -12s - 6c = -69.  The s terms cancel because 12s - 12s = 0s.  We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for.  20c = 104 and -6c = -69.  Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35.  That means that c = 2.5 and a cup of coffee is $2.50.  There you go!

You might be interested in
7/21 equivalent fractions<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B%3F21%7D%20" id="TexFormula1" title=" \frac{7
pashok25 [27]

Answer:

1/103

Step-by-step explanation:

7/721=1/103

6 0
3 years ago
The measure of an obtuse angle is 5y + 45 what are the restrictions on y?
Allushta [10]
5y+45=180
5y=135
y=135/5
y=27
6 0
3 years ago
Which should be the first step in solving the equation 1.2w-3.8=12.4
zaharov [31]

Answer:

+3.8 to each side

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie b
Goryan [66]

Answer:

10 + 9 = n

19 apples

Step-by-step explanation:

80 ÷ 8 = y and 56 ÷ 6 = a

n = y + a

80 ÷ 8 × 8 = y × 8

80 = 8y

80 ÷ 8 = 8y ÷ 8

y = 10

54 ÷ 6 = a

54 ÷ 6 × 6 = a × 6

6a = 54

6a ÷ 6 = 54 ÷ 6

a = 9

10 + 9 = n

19 = n

7 0
3 years ago
Use a inequality symbol to compare -3x+7 -10-2
abruzzese [7]
Hey there,

Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).

So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)

Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7). 

    -3
+   7
______
     4

Let's bring that "x" back, and the answer would be 4x for a while.

So far, 4x is the answer.
_____________________________________________________________

Now, Let's work on the other side.

We are talking about (<span>-10-2)

    -10
-      2
_______
</span>     -12

So, by solving the answer to (-10-2), we got -12.

So, let's determine what is greater . . . . . 

What \ is \ greater?

-12 or 4.

-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.

Your correct answer would look like . . . 

<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.

~Jurgen

8 0
3 years ago
Read 2 more answers
Other questions:
  • Hannah has $500. She buys a camera for $435 and 4 other items for $9 each. Now Hannah wants to buy speakers for $50. Does she ha
    11·1 answer
  • You are thinking about switching cell phone carriers because you don’t get very good cell coverage at your new apartment. Verizo
    7·1 answer
  • Brainiest will be marked for first right answer
    5·1 answer
  • What is 50% greater than 3000
    7·2 answers
  • If x,y and z are the first three terms of an geometric sequence, show that x^2,y^2 and z^2 form another geometric sequence
    5·1 answer
  • Which has a smaller area, Figure A, or Figure B?
    15·1 answer
  • I need answer immediately!!!!!!
    14·1 answer
  • PLEASE HELP QUICK!!!!!!!! WILL GIVE BRAINIEST!!!!!!!!!
    13·1 answer
  • A number line going from 0 to 1. There are 6 equal spaces between 0 and 1. The line contains 0, A, B, blank, C, D, 1.
    6·2 answers
  • These two lines are parallel. Write an equation for each.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!