Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cost $7.50 per pound. He mixed a total of 23 pounds of coffee beans and spent a total of $197.

Write a system of equations that can be used to determine how many pounds of Kona and Fuji beans Kwamee bought.

Solve the system of equations to determine how many pounds of Kona and Fuji beans Kwamee bought.

*Show both the equations and the solution.

Answers

Answer 1
Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.

Related Questions


a A persen sold on article at a profit of 15% If he
sold it for Rs. 81 less, his loss would love been
12% Find the cost price of the article​

Answers

Answer:

cost price (cp)=RS.300

Matthew bought 6 pairs of shoes for $160.80. If each of the pairs of shoes cost the same amount, what is the unit rate for a pair of shoes?

Answers

Answer:

$26.80/shoe

Step-by-step explanation:

does this figure have symmetry?

A)
Yes, because if you fold it in half, both halves match up
b) No, because if you fold it in half, both halves do not match up.
c) No because if you rotate it 90 degrees, it does not carry onto itself.
D) Yes, because if you rotate it less than one full turn, the figure carries onto itself.

Answers

D) Yes, because if you rotate if less than one full turn the figure carries onto itself

Find the unit price of each item, rounding answers to the nearest tenth of a cent. A) 4 lbs for $2.37 b) 15 lbs for $8.57 c) 25 lbs for $13.59 Which bag (4, 15, or 25) is the best deal?

Answers

Answer:

A. $0.59

B. $0.57

C. $0.54

The best deal is 25 lbs for $13.59

Step-by-step explanation:

A) 4 lbs for $2.37

Units price (price per lb) = $2.37 / 4

= $0.5925

Approximately $0.59

b) 15 lbs for $8.57

Price per lb = $8.57 / 15

= $0.5713

Approximately $0.57

c) 25 lbs for $13.59

Price per lb = $13.59 / 25

= $0.5436

Approximately $0.54

Which bag (4, 15, or 25) is the best deal?

The best deal is 25 lbs for $13.59

When adding rational numbers with the same sign, you must

Answers

Answer:

put one number in front of the other

A bakery made 360 cookies. Twenty percent of the cookies were chocolate chip. How many cookies were chocolate chip

Answers

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decided to pay $1,420.09. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark's calculated percentages?

Answers

Answer:

24.04%

Step-by-step explanation:

Given that:

Mortgage = $238,000

Number of years = 30

Monthly payment without extra payment= $1220.09

Monthly payment with extra payment = $1420.09

Total amount paid :

Number of months * monthly payment

12 months = 1year

30 years = (30 * 12) = 360 months (without extra payment)

22 years 5 months = (22 * 12) + 5 = 269 months (with extra payment)

Amount paid without extra payment :

$1220.09 * 360 = $439232.4

Percentage of total loan paid as interest :

((439232.4 - 238000) / 238000) * 100%

= 0.8455142 = 84.55%

Amount paid with extra payment :

$1420.09 * 269 = 382004.21

Percentage of total loan paid as interest :

((382004.21 - 238000) / 238000) * 100%

= 0.6050597 = 60.51%

Difference between percentages:

84.55% - 60.51% = 24.04%

In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row
ahead of it. There are 35 rows in the theater.
a. Express the number of seats in the nth row of the theater in terms of n.
b. Use sigma notation to represent the number of seats in the theater.

Answers

Answer:

b. Use sigma notation to represent the number of seats in the theater.

I've been stuck on this question for so long​

Answers

If you reflect the rectangle across either the horizontal or the vertical line going straight through the middle, you will reflect it onto itself (see image).

The equation for the horizontal line is y = -1. The equation for the vertical line is x = -1.

Twenty seconds after a plane in the air show- dives, it is 300 feet from where it begin. At what rate is the plane diving ​

Answers

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

Connor is driving on a long road trip. He currently has 9 gallons of gas in his car. Each hour that he drives, his car uses up 2 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after t hours?

Answers

i think its 2 gallons

What is the M.A.D for 5 10 15 20 25

Answers

Answer:

6

Step-by-step explanation:

Find mean

Find. Absolute deviation=[Xi-mean]

Find mean deviation

State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment

Answers

Answer:

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15

Step-by-step explanation:

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15

A function is defined as y = 2x + 4 with the domain of all real numbers greater than or equal to 4. What is the range of the function?

Answers

Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13

Angle relationships worksheet #2

Answers

Answer:

You didn't put the worksheet.

help please btw last part of d it is 6​

Answers

Answer:

Ans is C

Step-by-step explanation:

Answer: the answer is b!

Step-by-step explanation: Hope this helps! Merry Christmas!

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year?

Answers

Answer:

This population, the population is 45 fish.

Step-by-step explanation:

This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

x= 60*0.75

x=45

This population, the population is 45 fish. Please make the brainliest.

60-25% of 60 =number of fish this year

60-25/100 x 60

60-15

45 fish are present in the lake

Question 33 (1 point)
(04.01)
Which of the following best defines
2/3^3
a
Square root of 9

B
Cube root of 9
C

Cube root of 3

D
Square root of 3

Answers

Answer:

A

Step-by-step explanation:

Answer:

when I finish the test I will tell you the right answerer

Step-by-step explanation:

Solve the following inequality algebraically.
x + 2 < 11

Answers

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers? Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

Answers

Answer:

11 and 12

Step-by-step explanation:

Let the consecutive integers be x and x+1

The lesser integer = x

The greater integer = x+1

Two times the greater of two consecutive integers is expressed as;

2(x+1) = 2x+2.

9 less than three times the lesser integer is expressed as;

3x - 9

Equate both expression

2x+2 = 3x - 9

2x-3x = -9-2

-x = -11.

x = 11

The greater integer = x+1 = 11+1 = 12

Hence the integers are 11 and 12

Answer:

11 and 12

Step-by-step explanation:

credit:answer above me

HELPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!

Answers

Answer:

15: B. 6

16. D. 12.5

17. B and D

Step-by-step explanation:

I need not just the answer but the work written out

Answers

Answer:

A(3) = -6 + (3 - 1) (5)

-6 + (2)(5)

-6 + (10)

4

A(4) = -6 + (4 - 1) (5)

-6 + (3)(5)

-6 + 15

9

A(10) = -6 + (10 - 1) (5)

-6 + (9)(5)

-6 + 45

39

the perimeter of a triangle is 29cm. the three sides lengths (all measured in cm) of the triangle are 8, 12 and x. Write and solve an equation to find x.​

Answers

Step-by-step explanation:

We have 8 + 12 + x = 29.

Solving, we get x + 20 = 29, x = 9.

Answer:

9 cm

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all the sides of the polygon.

If a polygon is a triangle, and its 3 sides have length a, b, and c, then the perimeter is the sum of a, b,, and c.

perimeter = a + b + c

Here, the perimeter = 29 cm

The lengths of the sides are a = 8 cm, b = 12 cm, c = x.

8 + 12 + x = 29

x + 20 = 29

x = 9

Answer: 9 cm

Lindsay Skyler and Valerie are sisters Lindsey is 8 years older than Skyler Skyler is 5 years older than Valley who is 16 years old how old is Lindsay

Answers

Answer:

valley is 16

skyler is 21

lindsay is 29

hope this helps!

Please helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

[tex] \frac{6}{24} = \frac{x}{28} \\ \\ x = \frac{ \cancel6 \times \: 28}{ \cancel{24} \: \: \:\red{\bold {4}} } \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

I’m pretty sure the answer is 7

Drag the labels to the correct locations on the image. Not all labels will be used.
Consider function h.

Answers

Answer:

-∞ < y < ∞

Step-by-step explanation:

Range corresponds to the values on the y-axis and Domain corresponds to values on the x-axis. Here if see the graph the range depends on values on y-axis and we can see that the the graph goes to -∞(-negative infinity) to +∞(positive infinity)  so the answer is

-∞ < y < ∞

Answer:

The range is  -∞< y < ∞, below is the explanation of how to get range.

Step-by-step explanation:

Given:

      Graph of a function h(x).

To find:

      The range of the function in inequality notation.

The range is all possible y-values of the function. Let's find all possible y values from the graph.

If we see the graph, it has a vertical asymptote at x=1 and a slant asymptote.

But it tool all y values from -infinity to infinity.

So, we can write range as -∞< y < ∞ because both sides of the function go and so on below the x-axis and go and so on above the x-axis.

The range is  -∞< y < ∞ .

You can learn more:

https://brainly.com/question/16724504

State two equivalent ratios of 18:36

Answers

1:2 and 6:12 are two equivalent ratios

What is the slope of(-4,5) to (-12,8)

Answers

Answer:

-3/8

Step-by-step explanation:

I would use a table

x      y

-4     5

-12    8

from -4 to -12 you subtract -8

from 5 to 8 you add 3

so y/x  = 3/-8

The slope is - [tex]\frac{3}{8}[/tex]

Hope this helped!

rise/run
y2-y1/x2-x1
Answer: -13/17
(the whole fraction is negative not just 13)

Compare using >, <, or =,
64 ounces
4 pounds

Answers

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

PLEASE HELP ME ON MY RECENT QUESTION WILL GIVE BRAINLIEST ON IT
IF YOUR NOT GOOD AT MATH THEN YOU MIGHT NOT BE ABLE TO ANSWER

Answers

Answer:

ok i will look at it :)

Step-by-step explanation:

Answer:

Ok, I will try!!! :D

What is your recent question, btw....you most recent is ELA

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