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
Shtirlitz [24]
3 years ago
5

A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with 4 ou

nces of Celebes Kalossi, and costs $32. The second mixture has 4 ounces of Sumatra and 12 ounces of Celebes Kalossi, and costs $40. How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost?
Mathematics
1 answer:
ololo11 [35]3 years ago
8 0
We let x as the cost of one ounce of Sumatra and y as the cost of one ounce of Celebes Kalossi. For mixture 1, we have 12x + 4y = 32 and for mixture b, we have 4x + 12y = 40

First, Multiply eq. 1 by 4
4(12x + 4y = 32)4        ⇒    36x + 12y = 96

We now have 
(36x + 12y = 96) – (4x + 12y = 40)
<span>X = 1.75     ⇒ cost of one ounce of Sumatra 
</span>
Substitute x to either equation to get the value of y
12(1.75) + 4y = 324
y = 32-21
4y = 11
Y = 2.75     ⇒ cost of one ounce of Celebes Kalossi
You might be interested in
The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat
Anna71 [15]

Answer:

11232000 plates can be made.

Step-by-step explanation:

The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 digits from a set of 10(there are 10 digits from 0 to 9).

3 letters from a set of 26. So

Total:

T = P_{(10,3)} \times P_{(26,3)} = \frac{10!}{(10-3)!} \times \frac{26!}{(26-3)!} = 11232000

11232000 plates can be made.

5 0
3 years ago
Help please 6+6x4+8.................
Natasha_Volkova [10]
,12x12=144.................
6 0
3 years ago
Read 2 more answers
When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5%
marin [14]

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

6 0
3 years ago
Which graph is best to show categorical data?
dexar [7]

Answer:

Bar graphs, pie charts or circle graphs

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following verifies that AABC is similar to ADEF?
nasty-shy [4]

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is 35.99 as a mixed number in simplest form
    12·2 answers
  • Mental break time. What is 1+1?
    14·2 answers
  • Simplify- 5+2{3x+7(2-x)}
    6·1 answer
  • In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
    12·2 answers
  • What is the density of volume and mass
    10·1 answer
  • At a local drive-thru restaurant, 4 out of every 10 drinks sold are diet drinks. If the restaurant sells 4,380 drinks in one mon
    13·1 answer
  • What is the unit rate of 28 miles in 4 hours?
    14·2 answers
  • Find the missing values for each of the following 3 questions
    11·1 answer
  • If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
    13·2 answers
  • What are the solutions of the equation 4x2 + 3x = 24 – x?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!