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
AlexFokin [52]
3 years ago
10

Brown's Grounds Coffee is selling for $2.50 a pound is mixed with Coffee From Heaven selling for $2.80 a pound to produce 100 po

unds of a blend selling for $2.62 per pound. How many pounds of each kind of coffee were mixed?
Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer: the number of pounds of Brown's Grounds Coffee that was mixed is 60

the number of pounds of Coffee From Heaven that was mixed is 40

Step-by-step explanation:

Let x represent the number of pounds of Brown's Grounds Coffee that was mixed.

Let y represent the number of pounds of Coffee From Heaven that was mixed.

Brown's Grounds Coffee is selling for $2.50 a pound is mixed with Coffee From Heaven selling for $2.80. 100 pounds was produced and sold at the rate of $2.62 per pound. This means that the total cost of the blend produced is 100×2.62 = $262. Therefore

2.5x + 2.8y = 262 - - - - - -- - -- - -1

x + y = 100

Substituting x = 100 - y into equation 1, it becomes

2.5(100 - y) + 2.8y = 262

250 - 2.5y + 2.8y = 262

- 2.5y + 2.8y = 262 - 250

0.3y = 12

y = 12/0.3 = 40

x = 100 - y = 100 - 40

x = 60

You might be interested in
"Which of the following is the graph of an arithmetic sequence whose first term is 0 and whose common difference is 4?
Vesna [10]
The graph should start at zero, and go up four for every number
5 0
3 years ago
How do you solve this?
maks197457 [2]
The answer is  (x-5)(x-4)
5 0
3 years ago
Read 2 more answers
Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of
FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0
3 years ago
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
The table shows the annual profits (in thousands of dollars) of a county fair from 2013 to 2016. What must the 2017 profit be (i
Snezhnost [94]

Answer:

8 hundred dollars

Step-by-step explanation:

The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:

  • 2.5 + 1.4 - 3.3 - 1.4 + x = 0
  • x - 0.8 = 0
  • x = 0.8 thousands of dollars
  • x=  800 dollars

7 0
3 years ago
Other questions:
  • What happens when the two addends have opposite signs and the number with the larger magnitude (size) is positive?
    13·1 answer
  • Uestion 2 (1 point)
    7·2 answers
  • What is the slope of a line parallel to a line with slope 2/3
    5·1 answer
  • If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to
    11·1 answer
  • The sum of two numbers is 956. One is 94 less than 6 times the other. write an equation for the first sentence and second. Then
    14·1 answer
  • Find the surface area of a right square pyramid with base edge length<br> 2 feet and height 5 feet.
    5·1 answer
  • Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
    8·1 answer
  • Camila lives 3/10 kilometer from the park. Mariam lives 4 times as many kilometers from the park as Camila. How many kilometers
    11·2 answers
  • Select the fraction that is equivalent to 2/3
    6·1 answer
  • A car travels 53.6 miles in an hour.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!