Amy operates a coffee kiosk and is blending her special house coffee. She is mixing Kenya beans that cost $9. 00 per pound with Colombia

beans that cost $7. 50 per pound to create a 30 pound blend that sells for $8. 50 per pound. How many pounds of Kenya beans and how many

pounds of Colombia beans does Amy need to use to create her blend?

Answers

Answer 1

So Amy needs to use 2 pounds of Colombia beans and 32 pounds of Kenya beans to create her blend.

Define Unitary Method.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

What is direct and indirect variation in the unitary method?

We are aware that an inverse variation or indirect variation occurs when two values are coupled in a way that a rise in one generates a corresponding reduction in the other, and vice versa.

Let x be the number of pounds of Kenya beans and y be the number of pounds of Colombia beans. We know that:

x + y = 30 (since the blend is 30 pounds)

We also know that the blend sells for $8.50 per pound, so the total cost of the blend is:

8.50(x + y) = 8.50(30) = $255

We know that the cost of the Kenya beans is $9.00 per pound and the cost of the Colombia beans is $7.50 per pound, so the total cost of the Kenya beans is:

9.00x and the total cost of the Colombia beans is 7.50y

We can set up the following equation:

9x + 7.5y = 255

We have 2 equations and 2 variables, we can solve this system of equation by different methods, one of them is substitution:

x + y = 30

9x + 7.5y = 255

We can substitute the first equation into the second equation

9(x + y) + 7.5y = 255

9(30) + 7.5y = 255

270 + 7.5y = 255

7.5y = -15

y = -2

So Amy needs to use 2 pounds of Colombia beans. We can substitute that value into the first equation to find the amount of Kenya beans:

x + (-2) = 30

x = 32

So Amy needs to use 32 pounds of Kenya beans.

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Related Questions

can anyone solve this?

Answers

Answer:

the yo u thichi cutis lo u you

Answer:

its the same thing look at the coordinates

Step-by-step explanation:

GIVING BRAINLIST
GIVING BRAINLIST

PLS HELP

Answers

Answer:It could be 10, 2, 3

Step-by-step explanation:

basically as long as the lengthxwidthxheight=60, then it should be fine

Answer:

Their are multiple ways you could do this but you can use 10 as the length, 3 as the width, and 2 as the height

Step-by-step explanation:

The formula for the volume of a rectangular prism is v=l*w*h  so plugging in our values would give us 10*3*2 which is equal to 60.

The length of the rectangle is X units more than its
width. The width of the rectangle is 11 units and the
length of the wire that is used to make this rectangle
is a maximum of 57 units. Represent this situation
using an inequality.

Answers

Answer:   [tex]2x+44 \le 57\\\\[/tex]

Explanation:

W = width

W = 11

L = length

L = width+x

L = 11+x

P = perimeter of the rectangle

P = 2L+2W

P = 2*(11+x)+2*11

P = 22+2x+22

P = 2x+44

The perimeter is at max 57 units because it is the length of wire used. Think of it like fencing around a piece of land. Be sure not to mix up the length of the wire with the rectangle length; those are two different things.

Anyways, because the perimeter maxes out at 57, this means either P = 57 or P < 57.

This leads to:

[tex]P \le 57\\\\2x+44 \le 57\\\\[/tex]

PLEASE HELP!!!!!! Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. Choose the correct option based on the problem information.

Use a significance level of α = 0.01 to test the claim that μ > 2.85. The sample data consist of 9 scores for which = 3.1 and s = 0.6. Identify the correct null and alternative hypotheses.


A. H0: μ = 2.85. H1: μ > 2.85.


B. H0: μ ≥ 2.85. H1: μ < 2.85.


C. H0: μ > 2.85. H1: μ ≤ 2.85.


D. H0: μ ≠ 2.85. H1: μ = 2.85.

Answers

Answer:

C. H0: μ > 2.85. H1: μ ≤ 2.85.

Step-by-step explanation:

hope it helps

sydney is selling is comic book selection on the internet the scatter plot

Answers

What is the question please?

Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake

Answers

Answer: 7 hours

Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.

K Rick's dad used a ladder to hang up their Christmas lights on the roof. When he leaned the ladder against the house, it created a triangle. If the height of the wall measures 12 feet, the ladder measures 15 feet, and Rick's dad put the base of the ladder 9 feet from the wall, what is the area of the triangle that is created? A 36 feet2 B) 54 feet 67.5 feet? D 90 feet​

Answers

Answer:

A) 36 pies

Step-by-step explanation:

For what value of a the system of linear equations Ax 3y a 3?

Answers

The system of linear equations has no solution for any value of a.

The equations Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

By using the Gaussian elimination method, the reduced form of the matrix is

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

The system of linear equation

Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

We can use the gaussian method to solve this system. First, we subtract 3 times the first equation from the second equation to get

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

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A vending machine has twice as many quarters in it as dollar bills if the quarters and dollar bills have a combined value of $96. 00 how many quarters are in the machine

Answers

According to question, we can say that there are 128 quarters in the machine.

What is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

N  = the  number of dollars  2N  the  number of  quaters.....so  we  have

25(2N)  + 1N   =   96

1.50N  =  96

so, by fraction we have -

N  =  96  / 1,50   =  64   dollars

2(64)   =    128  quarters

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A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?

Answers

The length of piece of wood now will be;

⇒ 0.72 meters

What is Addition?

A process of combining or adding two or more numbers is called addition.

Given that;

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Here,

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Hence, The length of piece of wood now = 0.42 + 0.3 meter

                                                                = 0.72 meters

Thus, The length of piece of wood now = 0.72 meters

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Find the area of the following composite figures ​

Answers

I think the answer is 592 c2

What is the radius of a circle with a diameter of 24 m?

Answers

12 m

Step-by-step explanation:

24/2 = 12

I hope this helps you, have a good day!

Answer:

answer: 12

Step-by-step explanation:

The radius is just half of the diameter since the diameter is 24 we just have to divide that by 2 to get the answer so 24 ÷ 2 = 12 so 12 is the radius Hope that helps!

What is the value of the expression 5x(3+6)-8

Answers

Answer:

45x - 8

Step-by-step explanation:

Answer:

Nodijsikmjkf

Step-by-step explanation:

45x-8

11
Which improper fraction is equivalent to 5 ?
40

Answers

Answer:

211/40, B

Step-by-step explanation:

Make it an improper fraction:

5 x 40 = 200, 200 + 11 = 211

211/40, B

Mr.Coy receives a 80 bill for his meal. He leaves 14.30 as a tip. What percent did he leave​

Answers

Answer:

around 18%

Step-by-step explanation:

14.30/80=0.17875

0.17875*100=17.875

18%

Answer:

Step-by-step explanation:

the answer is [tex]\frac{14.30}{80}[/tex]=17.875%

heyy! i’ll give brainliest help asap pls

Answers

Answer:

I think the best answer is Marble

hope this helps

have a good day :)

Step-by-step explanation:

Answer: I would go with B:

Step-by-step explanation: if not then its gott to be A

Write the given expression as the sine of an angle
sin(105°) cos(35°) + sin(35°) cos(105°)
Will give brainiest.

Answers

Answer:

sin140°

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin105°cos35° + sin35°cos105°

= sin105°cos35° + cos105°sin35° ← right side of expansion above

= sin(105 + 35)°

= sin140°

The tables show the prices for ordering team jerseys from two different companies. You can use the information to write ratios showing the relationship between the cost and the corresponding number of jerseys. 1/5=5 25/5=5 50/10=5 75/15=5. 5/1=5 20/5=4 40/10=4 69/15=4. These ratios are all equivalent. These ratios are not all equivalent. This relationship is proportional. This relationship is not proportional. Explain how you can tell whether a group of ratios represents a proportional relationship.

Answers

Even though this relationship is proportional, not all of these ratios are equal.

What is the solution to the 3 to 5 ratio?

Verify that the ratios provided are equal. The ratios of 3:5 and 15:25 are both equal. Because the first ratio 3: 5 can be derived by multiplying the ratio 15: 25 by 5 on both the numerator and denominator. The initial ratio of 3: 5 can be multiplied by 5 to get the ratio 15: 25, and vice versa.

What is an illustration of a 4:1 ratio?

This indicates that you would require an 8 fl oz can (a quarter of a quart) of Part B if you were ordering a quart of Part A. You will have 1.25 after combining Parts A and B.

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4. Determine the type of triangle with the given set of side lengths. Show your work. A. a = 8, b = 15, c = 17 B. a = 6, b= 15, c = 18 C. a = 7, b = 10, c = 12​

Answers

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

Define Pythagoras Theorem.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

What is right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A. a = 8, b = 15, c = 17

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

17² = 8² + 15²

289 = 64 + 225

289 ≠ 289

Therefore, this is not a right triangle.

B. a = 6, b= 15, c = 18

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

18² = 6² + 15²

324 = 36 + 225

324 ≠ 324

Therefore, this is not a right triangle.

C. a = 7, b = 10, c = 12

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

12² = 7² + 10²

144 = 49 + 100

144 = 144

Therefore, this is a right triangle.

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

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Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?

Answers

No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].

Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].

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what is (-5q-8) - (q+3)

Answers

The answer would be −6q−11

Answer:

-6q-11

Step-by-step explanation:

Use the data set to answer the question.
{22, 26, 28, 35, 45, 63, 91}
What is the mean of the data set?
Enter your answer as a number rounded to the nearest tenth,

Answers

Answer:

Yes

Step-by-step explanation:

because if you add that and then you subtract that you get that answer

41.43 is the answer I got, exact answer being 41.4285714286

write an explicit formula for an,the nth term of the sequence 72,12,2​

Answers

Answer:

[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]

Step-by-step explanation:

The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].

Answer:

[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]

Help me with this ASAP!!

Answers

Okay with what and I’d like to help but with what?

Which of the following is the graph of f(x)=2(x−4)2−1?

Answers

Answer:

there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)

Step-by-step explanation:

0.5- 2 2/5 = 1/2y +2.4 Please help! Find the value of y! Thanks!

Answers

The value of y, given the equation, can be found to be - 8 .6

How to find the value of y ?

To find the value of y, first convert the mixed fraction to a decimal for easier calculation :

2 ² / ₅ = 2 + 2 / 5

= 2 + 0. 4

= 2. 4

The equation then becomes :

0. 5 - 2.4 = 1 / 2 y + 2. 4

This can be rewritten as :

0. 5 - 2.4 = 1 / 2 y + 2. 4

0. 5 - 2 . 4 - 2. 4 = 1 / 2 y

1 / 2 y = - 4. 3

y = - 4. 3 / 1 / 2

y = - 8 .6

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The question is the picture

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

note :if u change divide sign to multiplication sign then do the reciprocal

for eg:

3/4÷3/100

then write,

3/4*100/3

topic:(derivatives)

paki sagutan po please asap huhuhu

1. find y' of y=x+1 / x-1
2. find y'' of y = x(x+2)
3. find y'' of y = (3x+1)(x-2)
4. find y'' of y = (3x+4)squared
5. find y' of y = 3x-2

with solutions narin po if kaya pls, nagmamakaawa po ako huhu​​

Answers

2. find y'' of y = x(x+2)

y=x²+2x

y'=2x+2

3. find y'' of y = (3x+1)(x-2)

y=3x²+x-6x-2

y=3x²-5x-2

y'=6x-5

4. find y'' of y = (3x+4)squared

y=(3x+4)²

y'=2(3x+4)(3)=6(3x+4)=18x+24

5. find y' of y = 3x-2

y'=3

Evaluate the expression 5+2n^2 when n=3

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

23

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{Evaluating the expression given:}}\\\\5+2n^2 \text{ when } n=3.\\-----------\\\rightarrow5+2(3)^2\\\\\rightarrow5+2*9\\\\\rightarrow 5 + 18\\\\\rightarrow\boxed{23}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The value of the expression  5 + 2n² at n = 3 is 23.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  5 + 2n².

Now at n = 3, we'll simply replace n with 3, So 5 + 2n² is

= 5 + 2(3)².

= 5 + 2(9).

= 5 + 18.

= 23.

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help me please? its algerbra

Answers

Answer:

Option 1

Step-by-step explanation:

option 1=243

option 2=125

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