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
Mekhanik [1.2K]
3 years ago
11

4 coffees and 12 lattes. Costs $61

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = c

∴ 4 coffees cost = 4c and 12 coffee cost = 12c

∵ 1 latte cost = l

∴ 12 lattes cost = 12l and 7 lattes cost = 7l

Now, as per question:

4c+12l=61-----1\\12c+7l=59.75----2

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

You might be interested in
Mom has 4 red buttons dad has three blue buttons and and baby has green buttons. How many buttons doed the famiky have
Vladimir [108]

The answer will depend how many buttons does the baby have. You just have to add all the buttons together, and that will be your answer.

So 4+3+green buttons =the answer

8 0
2 years ago
Analyze the diagram below and complete the instructions that follow.<br> Find AEB.
aleksandrvk [35]
2x + 50 = 7x
50 = 5x
10 = x
2 (10) + 50
20 + 50
70
m<AEB = 70 degrees
5 0
3 years ago
Read 2 more answers
Help anyone can help me do the question 4,I will mark brainlest.​
nasty-shy [4]

Answer:

Hello,

Step-by-step explanation:

A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\

8 0
2 years ago
Read 2 more answers
A farmer wants to build a square pigpen. The length of one side of the pen is 13 ft. How many feet of fencing should the farmer
wariber [46]

Answer:

169

Step-by-step explanation:

13x13=169 in a square all sides are equal

7 0
3 years ago
Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)​
Elis [28]

Answer:

This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Applying descriptive statistics and data visualization to the training set to understand the data and assist in the selection of
    11·1 answer
  • Help on 10-13 please I will give brainliest and thanks
    12·2 answers
  • A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost
    11·2 answers
  • What is the base of expression 9^12
    13·1 answer
  • What is 14×4 in expanded form​
    11·2 answers
  • Can someone please help me ☹️
    13·1 answer
  • Find the volume of a square pyramid with base edges of 30 cm and a slant height of 39 cm
    12·1 answer
  • Someone plz help me I will give brainliest
    14·1 answer
  • I need held asp pls help me
    8·1 answer
  • Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 fo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!