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:

Let,

x be the pounds of type A coffee used

y be the pounds of type B coffee used

According to given statement;

4.15x+5.25y=980.85      Eqn 1

y = 4x    Eqn 2

Putting y=4x in Eqn 1

4.15x+5.25(4x) = 980.85

4.15x+ 21x = 980.85

25.15x = 980.85

Dividing both sides by 25.15

[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]

Hence,

39 pounds of type A coffee were used.


Related Questions

Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?

Answers

Answer:

648 miles

Step-by-step explanation:

864/12=72

72 x 9= 648

plz mark brainliest :)

have a great day!!!

Answer:648

Step-by-step explanation:

FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!

Answers

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

HELP! Whoever gets it right gets brainliest!!

Answers

It’s 17 units because it goes right 7 times and goes up 10 times.

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4
millimeters wide. What is the maximum number of cilia that would fit
side by side—without overlapping—across a microscope slide that is 25
millimeters wide? Write the answer in scientific notation.

A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105

Answers

C.8.0×102

that is my answer

#study well:-)

Which expression simplifies to 8x^5?

Answers

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?

Answers

Answer:

Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 miles

jameson runs m miles and burns c number of calories is this independent or dependent

Answers

Answer:

the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent

Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?

Answers

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Find the volume of the following cube.

A. 12 cubic yards

B. 16 cubic yards

C. 46 cubic yards

D. 64 cubic yards​

Answers

Step-by-step explanation:

Volume of a cube

= (Side length of cube)³

= (4 yards)³

= 64 cubic yards. (D)

The answers is D
64 cubic yards

To find the volume of a cube you times the two bottom numbers by each other just as if you were just finding the area
(4*4=16)

then multiply the "area" (I call it the floor lol) by the height (16*4=64)

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

Help ASAP due in 1 min

Answers

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

Solve ASAP. Giving 28 points.

Answers

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

which graph beat represents this system of linear equations and it’s solution

Answers

A is the answer:)
Hope it’s right

If one line has a slope of -5/4 what would the slope of a line
parallel to that line?

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.

Answer:

-5/4

Step-by-step explanation:

Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.

Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4

hope this helps!

Urgent!!!! Solve 3∣∣x+2∣∣<12.

Graph the solutions on the number line.

Answers

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

math Finding the root (30points!!!!!)

Answers

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

can someone answer this for me please?​

Answers

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula:

if you do online classes for money hit me up
ill pay you 200 I'm not even joking around

Answers

What grade are you in?

What property is used to show that 6(x + 7) = 6x + 42?
Commutative property

Identity property

Distributive property

Associative property

Answers

Answer: Distributive because 6 has to be multiplied by x and 7

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Please help me guys

2+2

Answers

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Show your work

Answers

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?​

Answers

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?

Answers

One solution because n=-5
There’s only one solution for this problem
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)

5√3x^2+4

Answers

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

What is the slope of this please help as quick as possible :)

Answers

Answer:

-.5 or -1/2

Step-by-step explanation:

rise over run

you rise 2 and run left 4

the slope is negative

A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip:

147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110

Required:
What is the mean?

Answers

Answer:

[tex]Mean = 109.364[/tex]

Step-by-step explanation:

Given

[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]

Required

Calculate the mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 11[/tex]

So, we have:

[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]

[tex]Mean = \frac{1203}{11}[/tex]

[tex]Mean = 109.364[/tex] -- approximated

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