Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 190 pounds of blended coffee beans selling for
$4.55 per pound. She plans to do this by blending together a high-quality bean costing $5.50 per pound and a cheaper
bean at $3.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee
bean she should blend.
She should blend lbs of high quality beans.
(Round to the nearest pound as needed.)

Answers

Answer 1

By solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the total pounds Sarah needs to blend:

Let the number of pounds by 'x'.

Now form an equation as:

5.50x + 3.50x = 190 × 4.55

Then, solve equation for 'x' as follows:

5.50x + 3.50x = 190 × 4.559x = 864.5x = 864.5/9x = 96 pounds

Therefore, by solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

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Related Questions

You want to put a 4 inch thick layer of topsoil for a new 23 ft by 31 ft garden. The dirt store sells by the cubicyards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Remember that

1 ft=12 in

1 yd =36 in

The garden is 23 ft by 31 ft

Convert to inches

23 ft=23*12=276 in

31 ft=31*12=372 in

Find out the volume

V=(276)*(372)*(4)

V=410,688 in3

Convert to cubic yards

410,688 in3=410,688*(1/36)^3=8.80 cubic yards

Remember that

The store only sells in increments of 1/4 cubic yards

The volume is 9 cubic yards

A grocery store sells bags of oranges in two different sizes.The 3-pound bags of oranges cost $4. The 8-pound bags of oranges cost $9. Which oranges cost less per pound? Explain your reasoning

Answers

The per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

In the question ,

it is given that a grocery store sells bags of oranges in two different sizes .

in first bag where 3 pound bags of oranges cost $4 .

So, 1 pound bag of orange will cost = 4/3 = $1.333 .

in the second bag where 8 pounds bags of oranges cost $9 .

So, 1 pound bag of orange will cost 9/8 = $1.125 .

we can see that $1.125 < $1.333 .

hence , the second bag of oranges costs less .

Therefore , the per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

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how do I find the slope

Answers

you can find the slope taking two points of a graph or function,

identify the rightmost point and apply this equation

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x2,y2) is the rightmost point and (x1,y1) is the other point

If i have two points (3,4) and (6,2)

the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right

so, apply the equation

[tex]\begin{gathered} m=\frac{2-4}{6-3} \\ m=\frac{-2}{3} \\ \end{gathered}[/tex]

So, the slope is

[tex]-\frac{2}{3}[/tex]

Generate equivalent expressions using properties of operations. 15-(x•9) what do I need to do

Answers

Given the expression:

15 - (x • 9)

Let's simplify the expression.

To generate an expression equivalent to the given expression, simplify the expression inside the parentheses.

Thus, we have:

[tex]15-9x[/tex]

ANSWER:

[tex]15-9x[/tex]

16 1 point
Triangle congruence SSS is being shown?
True
False
|||
+||

Answers

Answer:

True

Step-by-step explanation:

SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.

Find the average rate of change of f(x)=3x^2-8x from x=1 to x=6

Answers

Answer:

The answer is 13

The solution process is shown for any equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop down menu.

Answers

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

What is the slope of the line that passes through the points (2,8) and (12, 20)? Write your answer in simplest form.

Answers

EXPLANATION

The slope of a line, is given by the next expression:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)

Plugging in the values into the expression:

[tex]Slope=\frac{20-8}{12-2}[/tex]

Subtracting numbers:

[tex]Slope=\frac{12}{10}[/tex]

Simplifying:

[tex]Slope=\frac{6}{5}[/tex]

In conclusion, the solution is 6/5

Add the complex numbers 3 + 11i and -3 - 11i.6 + 0i0 + 0i0 + 22i- 9 + 121i

Answers

SOLUTION

The given complex unbers are:

[tex]3+11i,-3-11i[/tex]

Add the complex numbers:

[tex]3+11i+(-3-11i)[/tex]

Simplify the expression:

[tex]\begin{gathered} 3+11i-3-11i \\ =3-3+11i-11i \\ =0+0i \end{gathered}[/tex]

Therefore the required answer is: 0+0i

The length of the diagonal of a Rectangle is 14cm,and it forms a 30 degree angle in one corner of the rectangle.What is the area of the rectangle.(A=LxW)Just number 20

Answers

[tex]\text{Area}=84.87(cm^2)[/tex]

Explanation

Step 1

draw the rectangle

here we have a rigth triangle,then

Let

[tex]\begin{gathered} hypotenuse=14 \\ agle=30\text{ \degree} \\ \text{adjacent side= length= l} \end{gathered}[/tex]

so, we need a function that relates those values

[tex]\cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}}[/tex]

replace and solve for length

[tex]\begin{gathered} \cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\cos \Theta=adjacent\text{ side} \\ 14\text{ cm }\cdot\cos 30=l \\ 12.12435\text{ cm=l} \end{gathered}[/tex]

Step 2

width

similarity, we need a function that relates

[tex]\sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}}[/tex]

let

[tex]\text{opposite side= width=w}[/tex]

replace and solve for w

[tex]\begin{gathered} \sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\sin \Theta=opposite\text{ side} \\ 14\text{ cm }\cdot\sin \text{ 30=w} \\ 7cm=w \end{gathered}[/tex]

Step 3

finally, the area of a rectangle is given by

[tex]\begin{gathered} \text{Area}=\text{ length }\cdot width \\ \text{replacing} \\ \text{Area}=(12.12\cdot7)(cm^2) \\ \text{Area}=84.87(cm^2) \end{gathered}[/tex]

therefore, the answer is

[tex]\text{Area}=84.87(cm^2)[/tex]

I hope this helps you

consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?

Answers

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?.

Solution:

Let the function f(x) whose second derivative is:

[tex]f^{\prime\prime}(x)\text{ = 4x+4sin(x)}[/tex]

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

[tex]f^{\prime}(x)=\int f^{\prime\prime}(x)\text{ }dx\text{= }2x^2-4\cos (x)\text{ +C1}[/tex]

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

[tex]f(x)=\int f^{\prime}(x)\text{ }dx\text{=}\int \text{ (}2x^2-4\cos (x)\text{ +C1)}dx\text{ }[/tex]

that is:

EQUATION 2:

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+C1x+\text{ C2}[/tex]

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

[tex]3=\text{ C2}[/tex]

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

[tex]4=f^{\prime}(0)\text{= }^{}-4\text{ +C1}[/tex]

That is:

[tex]4=\text{ }^{}-4\text{ +C1}[/tex]

Solve for C1:

[tex]8=\text{ }^{}\text{C1}[/tex]

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+8x+3[/tex]

Then f(5) would be:

[tex]f(5)=\text{ }\frac{2(5)^3}{3}-4\sin (5)+40+3=\text{ }125.98[/tex]

then the correct answer is:

[tex]f(5)=\text{ }125.98[/tex]

The graph of y = 2x2 - 4x + 2 opens downward.true or false

Answers

The equation for the graph is :

[tex]y=2x^2-4x+2[/tex]

You can graph the equation on a graph tool and view the graph as below:

From the graph, you can see that it opens upwards, so the statement is False.

Correct answer is that the graph opens upwards.

Answer choice : False

HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST

Answers

By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

How to find a rational number between two rational numbers

Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:

x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2) Given

x = - 1 / 6 - 1 / 4 Multiplication of rational numbers

x = - 4 / 24 - 6 / 24 Modulative, commutative and associative properties / Existence of multiplicative inverse

x = - 10 / 24 Addition of fraction with same denominator

x = - 5 / 12 Simplification / Result

The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

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the table shows the number of incorrect answers given by nine students on a standardized test which of the following measures would make the number of missed questions appear as a small as possible

Answers

Let's take them one after the other

To calculate the mean:

Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9

Mean= 115/9= 12.7

To calculate the median;

Median: position (n+1)/2=(9+1)/2=5

This implies it is the fiifth value after ordering them from least to gratest

4, 5, 10, 10, 11, 16, 18, 20, 21

The fifth observation is 11, that's the median

Calculate the range;

Range = highest - lowest = 21 - 4 = 17

Mode = bi modal = 10

The answer is the Mode which is 10

The correct option is the last option : Mode

The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?

0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars

Answers

Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)

Step-by-step explanation:

Answer:it would be 4.6x10^11

Step-by-step explanation:

Which of the following is a correct interpretation of the expression -8 + (-8)?

Answers

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

3 1/2 berry and pinaple pies
times 2 rasberry pies

Answers

If your equation is 31/2 x 2 then your answer is 31

7 total pies
3 1/2 x 2 = 7

which of the following statements is correct?A XYZ ~ wvz by AA similarityB XYZ ~ WVZ by SAS similarityC XYZ ~ WVZ by SSS similarityD XYZ and WVZ are not similar

Answers

We have two triangles, XYZ and WVZ.

They shared the vertex Z, formed by the intersection of two lines, XW and VY.

Also, XY and VW are parallel.

Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.

We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.

Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.

Then, if we have 3 pair of congruent angles, we have similar triangles.

We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.

Answer: XYZ ~ WVZ by AA similarity (Option A)

HELPPPP ME PLEASE I NEED TO KNOW THE ANDWER ASAP

Answers

Given the figure in the attached image.

The polygon has 4 sides, and all the four sides are equal.

but the four angles are not given to be equal.

Therefore, the polygon shown in the figure is a Rhombus

Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.

On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?

Answers

The basic operation use for the problem is subtraction.

The number of miles Santina drove than Carole is 14 miles.

How to solve problems with basic operations?

Basic operations are the building blocks and rules of math.

The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.

The distance in miles Santina drive than Carole is the difference between there distance travelled.

Therefore, the basic operation applied in this problem is subtraction.

Hence, let's solve it as follows:

miles Santina drove than Carole = 203 - 189 = 14 miles

Therefore, Santina drove 14 more miles.

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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.

How to solve problems with basic operations?

Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.

The distance Santina drives is miles than Carole, which is the difference between their distance traveled.

Thus, the basic operation applied in this problem will be; subtraction.

Hence, let's simplify it as follows:

The miles, Santina drove = 203 - 189 = 14 miles

Therefore, Santina drove 14 more miles than Carole.

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what property justifies the statement? if a=b and b=5,then a=5. A. addition property of equality. B. reflexive property.C transitive property. D. symmetric property.

Answers

a=b

b=5

a=5

Symmetric propery of equality. (D)

It states that if quantity a equals quantity b, then a equals b.

Hello, can you help me with a Standard deviation question, please?

Answers

To now how many had a score under 66, we have to calculate the following probability

[tex]P(X<66)=P(Z<\frac{66-81}{5})=P(Z<-3)=0.0013[/tex]

So the amount of people that had a score under 66 is

[tex]4502\cdot0.0013=5.86\approx6[/tex]

So 6 people get a score under 66

Evaluate: 2x – 16y for x = −2 and y = 3

Answers

To evaluate the expression with the given values, we need to substitute them and perform any required calculation.

To do so, we need to remember the following rule:

If we have a multiplication of two numbers with different signals, one of them positive and the other negative, the result will be negative. If the multiplication is made with two numbers with the same signal, both positive or both negative, the result will be positive.

From this, we perform the following calculation:

[tex]\begin{gathered} 2x-16y \\ 2\cdot(-2)-16\cdot(3) \\ -4-48 \\ -52 \end{gathered}[/tex]

From the solution developed above, we are able to conclude that the solution is:

- 52

Can you please help me

Answers

From the question,

[tex]\begin{gathered} m\angle AFE=m\angle BFC\text{ (Vertically opposite angles)} \\ \therefore \\ m\angle AFE=70^{\circ} \end{gathered}[/tex]

We also have

[tex]m\angle AFB=m\angle EFC\text{ (Vertically opposite angl}es)[/tex]

Remember that the sum of angles at a point equals 360°. Therefore

[tex]\begin{gathered} m\angle AFB+m\angle BFC+m\angle CFE+m\angle AFE=360 \\ \therefore we\text{ have} \\ 2(m\angle AFB)+2(70)=360 \\ 2(m\angle AFB)=360-140=220 \\ m\angle AFB=\frac{220}{2}=110 \end{gathered}[/tex]

Therefore, m(AB) is 110°.

Hence, OPTION B is correct.

if x=2, then x^2=4, what is the inverse or give a counterexample

Answers

Step-by-step explanation:

if x = 2, then x^2 = 4, the inverse would thus be: if x^2 = 4, then x = 2.

This is partially true though since multiple values would satisfy the equation x^2 = 4, or rather 2 values. negative two and positive two. So x=2 is one solution, but just because x^2 = 4, that doesn't necessarily imply that x=2.

What is 3 divided by 512 ?

Answers

[tex]\text{3 divided by 512 is }\frac{3}{512}[/tex][tex]We\text{ are using the long division method to divide 3 by 512.}[/tex]

Here 3 is smaller than 512 so we write 0.00 as the quotient.

Now 3000 is divisible by 512.

Substract 2560 from 3000, we get 440

now again 440 is smaller than 512, so we write 0 near 440 we get 4400.

Now 4400 is the dividend.

If we proceed with this division we get

[tex]\frac{3}{512}=0.005859375[/tex]

Hence the approximate answer is

[tex]\frac{3}{512}\approx0.01[/tex]

The probability on any given night that it's Abe’s responsibility to cook dinner is 24%. If it’s Abe’s responsibility to cook dinner, the probability that his family goes out to a restaurant to eat is 65%. If it is not Abe’s responsibility to cook dinner, the family goes to a restaurant only 15% of the time. Create a tree diagram for this situation: What is the probability that Abe’s family eats out on a night that Abe was not responsible to cook dinner?On any given night, what is the probability Abe’s family eats at a restaurant?Abe’s family did not eat at a restaurant. Determine the probability that Abe was not responsible for cooking?

Answers

Let A be the event that "it's Abe's responsibility to cook dinneron any given night" and B be the event that "family goes out to a restauarnt to eat".

iven that:

[tex]\begin{gathered} P(A)=0.24 \\ P(B|A)=0.65 \\ P(B|A^C)=0.15 \end{gathered}[/tex]

Draw the tree diagram.

Use Baye's theorem

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

[tex]\begin{gathered} \text{P(Abe's family eats out on a night and Abe was not responsible to cook) } \\ =P(B\cap A^C) \\ =P(B|A^C)\cdot P(A^C) \\ =0.15(0.76) \\ =0.114 \end{gathered}[/tex]

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As a test engineer, you are in charge of maintaining an experimental aircraft . According to the maintence manual, you need to inspect a wing every 10 flight hours. The aircraft flown 3 flights, each lasting 2.75 hours Since the last inspection. How many hours do you need before the wing should be inspected?

Answers

EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.

Is the prime factor of 85 17x5

Answers

Given data:

The given number is 85.

The given number 85 can be expressed in terms of their prime factors as,

[tex]85=5\times17[/tex]

Thus, yes 85 can be expressed in terms of their prime factors as 17x5.

On the last day of his summer tennis camp, Zach helps his instructor sort through a basket of tennis balls to throw out the old ones. Zach ends up throwing away 13 of the balls. He returns the remaining 42 balls to the basket. Which equation can you use to find the total number of tennis balls t Zach checks?

Answers

The equation that represents the total tennis balls is t = 13 + 42 and the value is 55

How to determine the equation that represents the total tennis balls?

From the question, the given parameters are

Total number of tennis ball = tNumber of tennis ball thrown away = 13Number of tennis ball returned = 42

The total number of tennis ball is the sum of the number of tennis ball thrown away and the number of tennis ball returned

Mathematically, this is represented as

Total number of tennis ball = Number of tennis ball thrown away + Number of tennis ball returned

Substitute the known values in the above equation

So, we have the following equation

t = 13 + 42

Evaluate the sum

t = 55

Hence, the equation of the tennis ball is t = 13 + 42