A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70
per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of
each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

Answer 1

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds


Related Questions

Mathematics Grade 5 Sample Items
Tral
Question 26
Line
Guide
Enter a value for b that makes this statement true; 5* b is less than 5 but greater than 0.
?

Answers

Answer:

The answer is within the range of 0.1 - 0.9.

Step-by-step explanation:

For example, 0.5 could be the answer.

Please help!!!!!!!!!!!! Bbb

Answers

Answer:

2x+1

Step-by-step explanation:

the second answer

What she said ^ (2X +1)

14. The Manilow family paid their electric bill using balanced billing all last year. The monthly
payment was m dollars. At the end of the year, the electric company told them they used more
electricity than they were billed for, and they owed d dollars. Express the value of the electricity
used by the Manilows last year algebraically.
Z

Answers

Answer:

12mx

Step-by-step explanation:

Given that

The monthly payment was m dollars

And, they used more electricity

We need to determine the value that should be expressed in algebraically

The Monthly payment is m dollars

Using balance billing, it would be mx dollars

So, the equation is

= mx × 12

= 12mx

hence, the same would be relevant and considered too


what 21•92+10.
100 points if you answer

Answers

Answer:

1942

Step-by-step explanation:

Since their is multiplication and addition you need to remember the order of operations. Also remember that the dot · is another multiplication symbol.

[tex]21*92=1932[/tex]

Now add 10

[tex]1932+10=1942[/tex]

1942 is the final answer

The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 52.

hope this helps,have a great day!!

~Pinky~

Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2

Answers

Answer:

Output= 3 • Input - 2

Step-by-step explanation:

x     |      y

3 • x - 2

--------------

1      |     1

2     |     4

3     |     7

4     |    10

Answer: last option - output=3 · input - 2

Step-by-step explanation:

Find the area of the figure.

PLS I NEED HELP FAST!

Answers

55 ft

base + base2 / 2 x h

Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *

Answers

Answer: + 8 degrees

Step-by-step explanation: average (-8+24)/2= 16/2 degrees

Can anyone help me out here?

Answers

Answer:

J. 19.7

Step-by-step explanation:

SOH(sine = opposite side/hypotenuse) CAH TOA

sin 80° = RS/20

=> 0.985 = RS/20

=> RS = 20 × 0.985 = 19.7

WILL GIVE BRAINLIEST ONLY IF ANSWER IS CORRECT!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!

Answers

Answer:

r=14 in

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]v = \pi \times {r}^{2} \times h[/tex]

So,

[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]

Step-by-step explanation:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle? Justify your answer.

Answers

Answer:

NO

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations

12 +8    IS NOT greater than 20

4x +2x+2 +x+3 = 40

7x +5=40

7x =3 5

x=5

side 4x  =  20

side x+3 = 8

side 2x+2 = 12

            20 +8 is bigger than 12

             20+12 is   bigger than 8

             12 + 8  IS NOT BIGGER than 20  (it's just the same)

round to nearest 1000 place
5932
26148
527061​

Answers

Answer:

5932-6000

26148-26000

527061-527000

Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?

Answers

Answer:

All you have to do is find out what 7.5 percent of 650 is.

Step-by-step explanation:

The answer would be 48.75 in sales taxes

48.75 in sales tax! tell me if im right or wrong lols

6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...

Answers

Step-by-step explanation:

[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]

Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12

Answers

Answer:

solution given:

by using Pythagoras law:

h²=p²+b²

x²=8²+4²

x=√80units

The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle

Answers

Answer:

Quadrilateral MNOP is a rectangle.

Step-by-step explanation:

Quadrilateral MNOP is a parallelogram, but not a rectangle.

What is a rhombus?

A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.

M(-1,1), N(1,-2),O(5,0), and P(3,3)

MN=√13

NO=√20

OP=√13

PM=√20

This means opposite sides are equal.

Slope of MN = -2/3

Slope of NO=2

The Slope of MN * The Slope of NO =-4/3 ≠ -1

This means the angle between adjacent sides is not equal to 90°

This means MNOP is not a rectangle

The Slope of MO = -6

The Slope of NP = 2/5

The Slope of MO * The Slope of NP =-12/5 ≠ -1

This means diagonals do not intersect at right angles.

This means MNOP is not a rhombus.

Slope of MN = -2/3

Slope of OP = -2/3

Slope of MN =Slope of OP

Similarly, Slope of MP =Slope of NO

So, quadrilateral MNOP is a parallelogram, but not a rectangle.

Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.

To get more about rhombus visit:

https://brainly.com/question/20627264

Which of the following is NOT an example of a random sample? A. Placing the names of 500 people in the target population in a box and drawing 50 names without looking. B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that. C. Dividing a list of names in the target population by age and randomly selecting a proportional sample from each group. D. Starting with a list of 500 names in the target population and choosing the first 50 names on the list.

Answers

Answer:

B

Step-by-step explanation:

If it's not D, and I also learned it isn't C, then It's more than likley gonna be B. I think bc they vote every 5th person after the random.

Hope It Help :)

B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that.

What is random sample?

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

To learn more about the random sample refer to:

https://brainly.com/question/11954030

#SPJ2

answer pls i will give brainliest!

Answers

Answer:

surface tension

Step-by-step explanation:

It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.

The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.

Ill give brain just helpppp

Answers

Answer:

Hey, gm!

Step-by-step explanation:

With what? Let me know :)

Have a nice day <3

what do you need help with?! would be happy to help

SOLVE

270.6 is 16 1/2% OF WHAT NUMBER?

WILL GIVE BRAINLIST




X
X
X
X
X
X
X

Answers

Answer:

approximately

1623.6

Step-by-step explanation:

16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.

If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.​

Answers

A=6 × + 10=88555%__/455

What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)

answers : 126,88,63,44

Answers

Answer:

C = 88

Step-by-step explanation:

So, we know that the circle passes thru the point (20,2), and it's center is (6,2).

The general definition of a circle's radius is the distance from the center to any point on the circle!

Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!

[tex]20 - 6 = 14\\r=14[/tex]

Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:

[tex]r2\pi \\or\\d\pi[/tex]

Insert the values into the equation....

[tex]C = 3.14(14)(2)\\C=87.92[/tex]

87.92 ≈ 88.00

Have a nice day, fam. Spread The Love <3

How to write 4 508 300
in words?​

Answers

four million five hundred and eight thousand three hundred

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

A.
1.2° N of E
B.
1.2° S of E
C.
66.8° N of E
D.
66.8° S of E

Answers

Answer:

c

Step-by-step explanation:

The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the total number of clients was 924, how many dog clients and how many cat clients did the veterinarian have?

Answers

Answer:

Dog Clients = 770

Cat Clients = 154

Step-by-step explanation:

1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.

2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154

Not sure if this is the answer?

Answers

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

PLZ HELP I WILL MARK BRAINLIEST

Answers

Answer:

Image wont load can you explain the problem to me through comments pls?

Step-by-step explanation:

The only thing im sure of is that for the chart the first one is 2 and the second one is four but not sure about the equation
Hope it helps :)

I need to know the answer!

Answers

Answer:

As it says he is incorrect.

Step-by-step explanation:

To start, if you were to multiply something such as 5*1, then you would get the same number. Another example would be 8*0. Anything multiplied by 0 IS zero. He does give some valid answers, but there are also ones with smaller numbers. That is why Jackson is incorrect.

PLZ RESPOND AS SOON AS POSSIBLE
What point is located at (-2, -6)
a. F
b. G
c. H
d. K

Answers

"Point K" is the correct answer!-2 means 2 left-6 means 6 down

The answer is for your question is letter k

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