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
vovangra [49]
2 years ago
11

At a restaurant, three salads, two sandwiches, and one drink cost $17.75. One salad, one sandwich, and three drinks cost $10.75.

A salad costs twice as much as a drink. How much does each item cost?
Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0

Answer:

A salad costs $2.50

A sandwich costs $4.50

A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

x = 2z  (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

-3z = -3.75

z = 1.25

x = 2z → x = 2.50

x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50

You might be interested in
Which of the following reasons can be used to justify statement #4 in the proof?
Montano1993 [528]

Answer:

D.

Step-by-step explanation:

CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.

3 0
3 years ago
What is the solution of (8x-8)3/2=64
jasenka [17]
Well x=19/3
Decimal form is 0.6333333....
8 0
3 years ago
Read 2 more answers
What is 1+9-6+5-9+3-6-7+2-5=…….
Scorpion4ik [409]

Answer:

The anwser to your question would be negative 23 (-23)

3 0
2 years ago
The formula used to calculate the value of a savings accounty =(1+)120What does theafter t years is A(t)=0.04= 1500 1+120.04frac
yulyashka [42]

We have here the formula for Compound Interest:

A=P(1+\frac{r}{n})^{nt}

Where:

• A is the accrued amount.

,

• P is the Principal (the original amount of money, the starting amount of money).

,

• r is the interest rate.

,

• n is the number of times per year compounded.

,

• t is the time in years.

When we have that n is equal to 12, we are talking here about that the amount of money is being compounded monthly (we have 12 months in a year, 12 periods, n = 12). <em>Therefore, we are dividing the rate, r, by the number of compoundings per year, n, and this is the rate per each new compounding period of time, r/n, and, in this case, n = 12 (monthly interest rate). </em>

Therefore, in few words, the fraction (0.04/12) is the monthly interest rate (option C).

[If we see the other options, we have:

• The daily interest rate would be given by 0.04/365.

,

• How long the money has been in the account is time, t.

,

• The starting balance in the account is the Principal, P. ]

7 0
1 year ago
PLEASE ANSWER QUICKLY
wel

Answer:

65 passengers

6 0
2 years ago
Other questions:
  • How do I solve <br>-9+8k=7+4k
    13·1 answer
  • In a second grade class containing 12 girls and 11 boys, 2 students are selected at random to give out the math papers. what is
    8·2 answers
  • he;p me please i am losing my points please anyone can you help at least one of you please please please! :(
    9·1 answer
  • A canned soup company would like to test if the average fill in their soup cans is different than their claimed amount of 16 oun
    10·1 answer
  • Thematics
    12·1 answer
  • What is this? Please answer with an explanation
    8·1 answer
  • What is the answer to the question?​
    15·2 answers
  • Evaluate the expression if m = – 4, n = 1, p = 2, q = –6, r = 5, and t = -2.<br><br> |3r + 6m
    9·1 answer
  • What are the zeros of the polynomial function?
    14·1 answer
  • Please help me with this Khan Question ( Its Not that hard im just tired )
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!