A coffee distributor needs to mix a(n) Mexican Shade Grown coffee blend that normally sells for $8.10 per pound with a Tanzanian coffee blend that normally sells for $14.10 per pound to create 100 pounds of a coffee that can sell for $10.26 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer 1

Answer:

64 pounds of the $8.10 Mexican Shade Grown

36 pounds of the $14.10 Tanzanian

Step-by-step explanation:

8.1x + 14.1(100 - x) = 10.26(100)

Distribute

8.1x + 1410 - 14.1x = 1026

Combine like terms

1410 - 6x = 1026

Subtract 1410 from both sides

-6x = -384

Divide both sides by -6

x = 64 pounds of the $8.10

100 - x = 36 pounds of the $14.10


Related Questions

Use the diagram to estimate the perimeter, rounding each number to the nearest hundred.

A parallelogram is shown. Two sides are labeled 5,534 feet. The other two sides are labeled 1,566 feet.


14,200 feet


16,000 feet


14,400 feet


14,000 feet

Answers

Answer:

14,000 feet.

Step-by-step explanation:

A parallelogram has 4 total sides and the opposite sides are characterized as having the same length. Therefore, If we are provided the lengths of two adjacent sides we can easily calculate the perimeter by multiplying these provided lengths by 2 and then adding them together. Since we are asked to round each number to the nearest hundred, it would be the following...

(5,500 * 2) + (1,500 * 2) = x

11,000 + 3000 = x

14,000 = x

Finally, we can estimate that the perimeter of the parallelogram is 14,000 feet.

a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per liter. a mechanic makes 392 liters of the mixture. how much should he charge for 15% profit

Answers

Answer:

Total selling price= $663.82

Selling price per liter= $1.69

Step-by-step explanation:

Giving the following information:

Proportion of oil and gasoline:

Oil= 3/14= 0.21

Gasoline= 11/14= 0.79

The oil costs $0.75 per liter.

The gasoline costs $1.60 per liter.

First, we need to calculate the number of liters of oil and gasoline required:

Oil= 0.21*392= 82.32 liters

Gasoline= 0.79*392= 309.68

Now, the total cost to produce 392 liters:

Total cost= 82.32*0.75 + 309.68*1.6

Total cost= $577.23

Finally, the total and unitary selling price:

Total selling price= 577.23*1.15= $663.82

Selling price per liter= 663.82 / 392= $1.69

if the pictures cost .29 cents and you have 353 pictures how much would it could all together

Answers

Answer:

102.37

Step-by-step explanation:

.29*353=102.37

It would be $102.37

353 pictures times 0.29 per picture=102.37

What percent of 0.2 gram of 32 mg

Answers

Answer:

625

Step-by-step explanation:

First, you have to convert 0.2 grams to mg.  To do this, multiply 0.2 by 1000.  This yield 200.  Now 200 is what percent of 32.  

200 * 100 / 32

= 625

which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7​

Answers

9514 1404 393

Answer:

  c  1, 2, 4, 8

Step-by-step explanation:

It can work well to look at the first differences.

  a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2

  b: differences are 0, 1, 1

  c: differences are 1, 2, 4

  d: differences are 2, 2, 2

__

Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.

Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.

Sequence c is a geometric progression.

PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.

Answers

Answer:

Z = 51º

Step-by-step explanation:

sinZ/12.5 = sin76/15.5

multiply both sides by 12.5

sinZ = sin76/15.5 * 12.5

Use calculator

sinZ = 0.782496553448384

Z = arcsin 0.782496553448384

Use calculator again

Z = 51.48972926377471º

Rounded

Z = 51º

Please help me, and can you do it by a table math

Answers

Answer:

Yeah

Step-by-step explanation:

Which function has a greater Y intercept

Answers

Hey I dunno but I really need a ANSER for one of my things so sorry TrueType

A group of coins is shown below. What is the probability of drawing each type of coin?​

Answers

Answer:

likely

Step-by-step explanation:

Please can somebody help I am not very good at maths

Answers

Answer:

z = 3a + 4

Step-by-step explanation:

Add 4 to both sides

PLEASE HELPPPPP!!! WILL MARK BRAINLIEST!!

Answers

X = -1

This is because when you multiply 2 to the -1 power, it is negative because a positive times a negative is always negative. And 1/2 by the same -1 is -1/2

The is is -1 because for f(x) 2^-1 is .5 then subtract 1 from that is -.5 and for g(x) 1/2(-1) = -.5

What is the area of the triangle

Answers

Answer:

60m^2 is the answer im pretty sure

Step-by-step explanation:

yeah man thats it

33. What does equal in the solution of the system of equations below? 33 – 4y - z= 14 2r + 3y - 32 = 17 x + 2y + x = 20 10 04 -10 O-4​

Answers

9514 1404 393

Answer:

  (a) 10

Step-by-step explanation:

Attached is a graphical solution using "substitution." An expression was written for z using the first equation, and it was substituted into the remaining two equations. This gave two equations in x and y, easily solved graphically.

We found x = 10, y = 3, so ...

  z = 3(10) -4(3) -14 = 30 -12 -14 = 4

The whole solution is (x, y, z) = (10, 3, 4).

Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

Answers

Answer:

Step-by-step explanation:

floor = 12*10 = 120 sq ft

rug = π[tex]r^{2}[/tex] = 9π

120-9π = 91.74 sq ft

The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²

What is Area?

Area is the space occupied by a 2 dimensional figure.

The room is rectangular and its 12 ft by 10 ft. Therefore,

area of the room = lw

where

l = length

w = width

area of the room = 12 × 10 = 120 ft²

The rug is circular and its use to cover the room. Therefore,

area of rug = πr²

where

r = 3 ft

Therefore,

area of rug = 3.14 × 3² = 28.26 ft²

The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:

area uncovered = 120 - 28.6 = 91.74 ft²

learn more on area here; https://brainly.com/question/1389611

Question is on the screenshot

Answers

Answer: V= 150π

V= πr^2 h
V= π(5)^2 (6)
V= 150π
Approximately y=2.94

I need help with this problem-

Answers

Answer:

wat

Step-by-step explanation:

Help please asp !!!

Answers

Answer:

a is the answrr

Step-by-step explanation:

they you a shout e e e e e e xh dhd jd dj

A cylinder with a volume of 25(pie), D.

Which function is graphed on the coordinate plane below?

Answers

Answer:

f(x) = 2x - 6

Step-by-step explanation:

positive slope = 2

y- intercept = -6

Answer:A

Step-by-step explanation:

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m = 1/2, (6, 9)

Answers

Answer:

[tex]x-2y=-12[/tex]

Step-by-step explanation:

Hi there!

1) Determine the equation of the line in slope-intercept form

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

Plug in the slope [tex]\frac{1}{2}[/tex]

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (6,9) and solve for b

[tex]9=\frac{1}{2}(6)+b\\9=3+b[/tex]

Subtract 3 from both sides

[tex]9-3=3+b-3\\6=b[/tex]

Plug 6 back into [tex]y=\frac{1}{2}x+b[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

2) Rearrange the equation into standard form

Standard form: [tex]Ax+By=C[/tex] where A, B and C are integers and A is typically positive

[tex]y=\frac{1}{2}x+6[/tex]

Multiply both sides by 2 to remove the fraction

[tex]2y=1x+12\\2y=x+12[/tex]

Subtract x from both sides to isolate 12 as C

[tex]2y-x=x+12-x\\2y-x=12\\-x+2y=12[/tex]

Multiply both sides by -1 to make A positive

[tex]x-2y=-12[/tex]

I hope this helps!

A line intersects the point (3,4) and has a slope of -2. Substitute the values into point-slope form.

Answers

9514 1404 393

Answer:

  y -4 = -2(x -3)

Step-by-step explanation:

The point-slope form of an equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (3, 4) and m = -2, so your equation is ...

  y -4 = -2(x -3)

What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)


Answers

I tried every combination. there seems to be something wrong with the informations you gave.

the second equation contains errors, and none of these 4 points can be solutions to the first equation alone

Multiply 12x2y4z(-4x3y6z2)

Answers

Answer:

[tex]-48x^5 y^{10} z^3[/tex] should be the answer

Step-by-step explanation:

the ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.

Answers

Answer:

20º

Step-by-step explanation:

Total parts

2  + 7 + 9 = 18

Value of each part given 180º in a triangle

180 / 18 = 10º

Smallest angle

2 * 10 = 20º

Answer:

20

Step-by-step explanation:

Multiply each angle by x

2x: 7x: 9x

The sum of the angles in a triangle is 180

2x+7x+9x = 180

Combine like terms

18x = 180

Divide by 18

18x/18 = 180/18

x =10

The smallest angle is 2x

2x = 2(10) =20

What is the complementary number of 16
I

Answers

Answer:

2

Step-by-step explanation:

Which graph shows the point (-2, 3)?
A.
B.
C.
D.

Answers

You didn’t provide the graphs but here is where the point would be on the graph.

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

769 691 699 730 711 765 702 718 719 712 768 688 757 695 768 735 709 758 708 693 736 700 687 772 715

Required:
a. What are the range and standard deviation?
b. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.

Answers

Answer:

[tex]Range = 85[/tex]

[tex]\sigma = 28.71[/tex]

[tex]Interval = [666.78, 781.62][/tex]

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

[tex]Range = Highest - Least[/tex]

From the dataset:

[tex]Highest = 772[/tex]

[tex]Least = 687[/tex]

So:

[tex]Range = Highest - Least[/tex]

[tex]Range = 772-687[/tex]

[tex]Range = 85[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

First, calculate the mean

[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]

[tex]\bar x = \frac{18105}{25}[/tex]

[tex]\bar x = 724.2[/tex]

So, the standard deviation is:

[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]

[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]

[tex]\sigma = \sqrt{824.16}[/tex]

[tex]\sigma = 28.71[/tex]

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]

[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]

[tex]Interval = [666.78, 781.62][/tex]

this zigzag crystal vase has a height of 10 inches. The cross sections parallel to the base are always rectangles that are 6 inches by 3 inches long.

If we assume the crystal itself has no thickness, what would be the volume of the vase? ​NO LINKS!!!

Answers

9514 1404 393

Answer:

  180 in³

Step-by-step explanation:

  V = Bh

  V = (6 in × 3 in)(10 in) = 180 in³

The volume is the product of the cross section area (6 in × 3 in) = 18 in² and the height perpendicular to that cross section, 10 in.

Select the equation of a straight line that is parallel to the line 4y = 3x + 5

Answers

Answer:

One equation can be y = 3/4X +2

Step-by-step explanation:

Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.

If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total of pages. ​

Answers

Answer:

394 pages

Step-by-step explanation:

1- digit numbers:

1 to 9, number of digits = 9

2- digit numbers:

10 to 99, number of digits = 2(99 - 9) = 180

3- digit numbers:

100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

Let it be x, then we have:

9 + 180 + 3(x - 99) = 10743(x - 99) = 1074 - 1893(x - 99) = 885x - 99 = 885/3x - 99 = 295x = 295 + 99x = 394

You are paid $25 per hour.

You work 7 hours a day.

You work 5 days a week.

How much is your total pay each week? $=

Answers

Answer:

The total pay would be $50, But there would also be tax to consider in this situation.

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