Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

Answers

Answer 1

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.

Then, according to question,

[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]

Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get

[tex]4.15x+5.25(4x)=980.85[/tex]

⇒[tex]4.15x+21x=980.85[/tex]

⇒[tex]25.15x=980.85[/tex]

⇒[tex]x=\frac{980.85}{25.15}[/tex]

⇒[tex]x=39[/tex]

Therefore, 39 pounds of type A coffee were used.


Related Questions


In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders

Answers

Answer:

Mean= 8.3

Standard deviation=7.8

Step-by-step explanation:

What is the slope of the line through (2, 10) and (-2, 17)?

Answers

The slope would be -4/7

Can any of you plz answer? (math)

Answers

Omg I took that lesson on I ready, your answer is 4 (please mark brainliest)

A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?

Answers

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

If 3 oranges cost $1.75, how much would 18 oranges cost?

Answers

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º

Answers

Answer: i think i would be half of it

Step-by-step explanation:

Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?

Answers

Answer:

i have no clue

Step-by-step explanation:

tbh

please send answers ​

Answers

Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?

Answers

Answer:

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

Step-by-step explanation:

Given the following refrigerator characteristics :

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

14.0

Step-by-step explanation:

14.096 rounded to the nearest tenth

B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find

the coordinates of D.

Answers

Answer:

[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]

[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]

what is the decrease percentage ?
from 126 ounces to 48 ounces ​

Answers

Answer:

-61.904761904761905

Step-by-step explanation:

Math is how I got my answer.

-61.9% is the correct answer.

You buy 4 Chicken Burritos that each cost the same amount and a Coca Cola all
for $21.00. You know the Coca Cola costs $2.00. How much does each Burrito
cost?

Answers

Answer: $9.50

Step-by-step explanation: $21-2=$19; $19÷2=$9.50

Enter the decimal represented by the shaded square.

Answers

The answer is 0.32
Have a great day :)
The answer is 0.32

Because 32 of the 100 squares are filled we know the fraction is 32/100 and if you long divide you get 0.32

Use the Distributive Property to find 13×612.

Answers

Answer:

(612 x 10) + (612 x 3) = 6120 + 1836= 7956

Step-by-step explanation:

if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1

Answers

Solve for x and y :

x + y = 1   →   y = 1 - x

x ² + y ² = -1

x ² + (1 - x)² = -1

x ² + (1 - 2x + x ²) = -1

2x ² - 2x + 1 = -1

2x ² - 2x + 2 = 0

x ² - x + 1 = 0

x ² - x + 1/4 = -3/4

(x - 1/2)² = -3/4

x - 1/2 = ±√(-3/4)

x - 1/2 = ±√3/2 i

x = 1/2 ± √3/2 i   →   x = exp(± /3)

y = 1 - (1/2 ± √3/2 i )   →   y = -1/2 ± √3/2 i   →   y = exp(± 2/3)

Then

x ⁷ + y ¹³ = exp(± 7/3) + exp(± 26/3)

… = exp(± /3) + exp(± 2/3)

since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).

In either case, we get

x ⁷ + y ¹³ = x + y = 1

so the answer is (2) 1.

A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed

Answers

Answer:

2

Step-by-step explanation:

Common Sense

The number of different ways committees can be formed will be 21.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A committee is to consist of two members.

If there are seven people available to serve on the committee.

If two people are selected from the group of seven people.

Then the number of different ways committees can be formed will be

⇒ ⁷C₂

⇒ 7! / [(7 – 2)! x 2!]

⇒ 7! / [5! x 2!]

⇒ 7 x 6 x 5! / [5! x 2 x 1]

⇒ 7 x 6 / 2

⇒ 7 x 3

⇒ 21

Thus, the number of different ways committees can be formed will be 21.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?

A. 30 calories

B. 202 calories

C. 270 calories

D. 360 calories

Answers

Answer: C

Step-by-step explanation:

Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?

Answers

Answer: 5 weeks

Step-by-step explanation: Please give me brainliest

Question One
There are three forward players, two defensemen, and one goalie on a hockey team. What is the ratio, in simplest form, of
defensemen to the total number on a team?
A
1:6
B
1:3
С
2:1
D
3:1

Answers

Answer:

a 1.6

Step-by-step explanation:

i am a sports center worker

so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)

Answers

Answer:

The answer would be B. With equations, what you do to one side you have to do to the other.

Help plssss with my exit ticket

Answers

Answer: 200.96 ft^2

Step-by-step explanation:

area of circle = (3.14 (pi))r^2

Radius is 6 (16 (the diameter)/2 = 8)

Answer:

Answer is H 200.96 :) Have a Happy Thursday!!

Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?

Answers

There are a total of 20 balls, 8 of which are red or pink . 8/20 reduced is 2/5
It’s there if you go 5 dagres up

halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes

Answers

Dividing 1.93km by 23 minutes, you get 0.083 km per minute, or 5.03 km per hour

Find the area of the figure. Assume all measurements are centimeters.

Answers

Answer:

The total area of the figure is 68.5 square centimeters.

Step-by-step explanation:

To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:

[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)

Where all areas are measured in square centimeters.

Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.

The resulting area is calculated below:

[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]

[tex]A = 68.5\,cm^{2}[/tex]

The total area of the figure is 68.5 square centimeters.

what is 117 ÷12 equal ​

Answers

Answer:

9.75

Step-by-step explanation:

A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is
320 square feet, what is the area of the deck itself?
A. 320 square feet
B. 400 square feet
C. 480 square feet
D. 560 square feet

Answers

Answer: 400

Explanation:

40 x 18 = 720

720 - 320 = 400

15-[14/(15-8)+13-14]•
10

Answers

Answer:

5

Step-by-step explanation:

15-(2+13-14)×10 (beacuse 14÷7=2)

15-(15-14)×10

15-1×10

15-10

5 ans

If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0

Answers

Answer:

B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9

Step-by-step explanation:

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.

1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet​

Answers

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Other Questions
45% of a number is 34. Find the number.if you could explain that would be great thx!!! Help it's due in 20 minutes !! Solve for x. 5 = 1/5x -3 Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees how did the night of power change muhammad's life forever? Me ayudan porfavor no entend Plz help me I am timed plz dont guess DeArah made 88, 90, and 92 on her math tests this gradingperiod. What is the mean of her math test scores?OA) 89OB) 90OC) 91OD) 92 Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece? v / -0.8 +14=39 plssss help this is literally so hard BRAINLIEST please help and leave a small explanation:) Pls help and show workings Option A. 7B. 10C. 13D. 22 Ella is Bono motorcycle and hes taking out a loan in the amount of $15,000 her choice is for the loan or a 36 month loan at 6.50% annual simple interest and 48 month loan at 7.50 annual simple interest what is the difference in the amount of interest Ella would have to pay for these two loans Passage A Passage B Both PassagesPassage AThe Notting Hill Carnival is one of the world's largest street festivals. It isheld in the Notting Hill area of West London. Over one million peopleattend the carnival, which takes place over three days every August. Theevent started in 1966 as a celebration of Caribbean culture, with peoplefrom the West Indies, who had immigrated to London, organizing thefestival. Nowadays, the event is very multi-cultural and people from all thedifferent communities of London come together at the festival. However,the music, costumes, floats and food still have a strong Caribbeaninfluence. simplify it using order of operations 14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80gummy bears in the package, how many gummy bears are red? heres the other one Find the missing value of the variable55x + 7454 pleae help me I'm so confused What is the velocity of a person that runs 40 km in 100 hours? This is a project so this is worth 100 points and branliestThings Fall Apart Final Projectthe reason there is two pictures is because it would not let me put it in oneThis project is based off of the book things fall apart by Chinua Achebe Use the replacement set {4, 8, 21} to find the solution of the equation7n - 4 = 24.