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 circular mirror measures 24 cm in diameter.
The cake is cut in half. Work out the perimeter of half of the mirror.

Answers

Answer:

The perimeter or circumference of a half mirror = 37.68 cm

Step-by-step explanation:

The diameter of circular measure = 24 cm

We know that the perimeter of a circular shape is called the 'circumference', with the formula

Circumference of a circle = C = 2πr

When the mirror is cut into half, the diameter gets half as well.

Thus, the diameter of a half mirror = 24/2 = 12 cm

We know that radius = r = diameter / 2 = 12/2 = 6 cm

Thus, the perimeter of half of the mirror = C = 2πr

= 2(3.14)6

= 37.68 cm

Therefore, the perimeter or circumference of a half mirror = 37.68 cm

D is 13. What is the length of the line.

Answers

Answer:

Step-by-step explanation:

You have to use pythagorean theorem to solve this.

Answer:

Step-by-step explanation:

use pytherogream theory

sides, 5 and 12

pytherogream triple 5, 12, 13

The rabbit population in a certain area is 300% of last year's population. There are 900 rabbits this year. How many were there last year? *
A - 300 rabbits
B - 2,700 rabbits

Answers

I believe it would be A

Answer:

-300

Step-by-step explanation:

How to find the discount

Answers

“The basic way to calculate a discount is to multiply the original price by the decimal form of the percentage. To calculate the sale price of an item, subtract the discount from the original price. You can do this using a calculator, or you can round the price and estimate the discount in your head.”

A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning

Answers

Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.

Given:

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.

A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

To find:

The smallest number of bags the groundskeeper must buy to cover the field.

Solution:

Diameter of the field = 290 feet, radius = 145 feet

Step-by-step explanation:

1.) Jahmal had a $10,000 loan. He still owes $5,275. He had to pay 15% interest up front on to get
the loan. How much total money has Jahmal already paid on the loan?
A.) $4,725
B.) $6,225
C.) $5,550
D.) $709
I need help and please explain what you did. Thank you!

Answers

Answer:

C or A

Step-by-step explanation:

Help me classify the triangles by its sides and measuring its angles :)

actually answer this

Answers

Answer:

1. isosceles

2. Right

Step-by-step explanation:

Here, we want to give the kind of triangle in each of the diagrams

1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle

2. From what we can see here, we have an angle of 90 degrees on one of the sides of the triangle. In other words, we have a right angle on one of the sides.

This makes the triangle, a right triangle

without using mathematical tables or calculators, evaluate (0.09×1.21)÷(3.3×0.00025)

Answers

Answer:

132

Step-by-step explanation:

you have to reduce the expression by solving 0.09 divided by 1.21 bc of the PEMDAS rule you do 1st parentheses first which is 0.1089 then do the second set of () which is 0.000825 then divide the 2 answers for 132

Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

Answers

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

How to find the interquartile range?

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Learn more about interquartile range on:

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Substitute it please!!

Answers

y=1-i

x=-3/2-i/2

thats what it should be

The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.

Answers

Answer:

15 and 8

Step-by-step explanation:

what is the expression for "the difference of 3 and 5times a number"?

answering

3 - 5n

(3 - 5)n

5 - 3n

Answers

Answer:

3-5n is the correct answer

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

ABCD is a rectangle. Find the mCED

Answers

Answer:8.5...

Step-by-step explanation:

7. 3, 19 25..
Find the formula for the nth term of the following sequence

Answers

Answer:

a+(n-1)d is the formula to calculate

Classify the triangle. Check all that apply

Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above

Answers

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

32 + 5a = -8(4a - 4)

Answers

Answer:

a=0

Step-by-step explanation:

Answer:

44=-1a

Step-by-step explanation:

32+5a=-8-4+4a

32+12=-5a+4a

44=-1a

Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}

Answers

C would be a function because the x does not repeat

Hope this helps

Have a happy holidays

If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?

A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd

Answers

Answer:

Step-by-step explanation:

because r is 1/2 of d so you would have 1 d instead of 2 r

Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?

Answers

Answer:

15 friends

Step-by-step explanation:

37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

what’s the quotent of -3/8 and -1/4

Answers

Answer:

1.5

Step-by-step explanation:

-3/8=-0.375

-1/4=-0.25

the negatives cancel each other out so it is 0.375/0.25

.25 goes into .375 1.5 times, so the answer is 1.5

Have a good day!

1.5

It needs to be 20 characters long so I’m just putting this so I can actually submit. The other guy already out the explanation so I’m proud of you and just tryna get points. Anyways the calculator is always available too if you need it

PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8

Answers

1 is the correct answer my guy

30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?

Answers

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of the two towns?

Answers

Answer:

The difference in elevation of the two towns is 3182 feet.

Step-by-step explanation:

Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.

Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.

Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.

Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.

Therefore, the difference in elevation of the two towns is 3182 feet.

Hope this helped!

Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether

Answers

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

How to calculate the value?

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

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helpppppppppppppppppp

Answers

The 1st option is correct.

Answer:

m/15=-3

Step-by-step explanation:

When you see quotient it means to divide

is means equal

I hope this helps

Plz help with math plzlzlzlzl

Answers

2 -8 and -13 is the answer

20 points!! please help im struggling bad with this ):

Answers

Answer: Andy completed 7 problems.

Step-by-step explanation:

What is w²+2xy if x= - 3, w= - 2, and y=1?

Answers

first, plug the numbers into the equation:

(-2)^2+2(-3)(1)

then do your exponents:
-2 times -2 = 4
4+2(-3)(1)

multiply and add:
4+-6

answer:
-2

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

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