A health food company makes its 'Superfood Blend' from whey protein, which costs $10.25 per pound, and powdered spirulina, which costs $22.45 per pound. The blend ends up costing $16.35 per pound. If the company has 140 pounds of the whey protein on hand, how many pounds of the spirulina does it need to get in order to make the blend?

Answers

Answer 1

It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.

Used the concept of a system of linear equations that states,

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.

Example; ax + by = 0

Given that,

The cost of protein per pound = [tex]\$10.25[/tex]

The cost of powdered spirulina per pound = [tex]\$22.45[/tex]

And, the blend ends up costing [tex]\$16.35[/tex] per pound.

Let us assume that,

There are x pounds of protein and y pounds of spirulina in the mixture.

Hence, by given conditions the equation is,

[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]

[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]

Combine like terms,

[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]

[tex]6.1 y = 6.1x[/tex]

[tex]y = x[/tex]

Since the company has 140 pounds of whey protein on hand.

So, the amount of spirulina it needs to get in order to make the blend is,

[tex]y = 140\ \text {pounds}[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ12


Related Questions

I NEEDDDD HELPPPP ITSSS URGENTTTT!!!!!

Answers

Answer: 380.1

Step-by-step explanation:

The area of a circle is pi*r^2. So 11 times 11 is 121. Then multiply by pi. When multiplies by pi you get 380.132711084. rounded to the nearest tenth is 380.1.

NEED HELP BAD PLEASSEEEEE I CANT GET ANOTHER QUESTION WRONG

Answers

Answer:

C

Step-by-step explanation:

please, help! i really need it !! like rnnn!

Answers

C, She can read 216 words per minute, bc 72 divided by 1/3 is 216

What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.

Answers

Answer:

y ≤ (-2)x+2

y < (1/3)x + 2

Step-by-step explanation:

First, we'll want to figure out the lines that are intersecting.

To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.

For the line that has points at (1,0) and (2, -2), our slope is

(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)

= (-2)/1

= -2

Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get

-2 = (-2)(2) + b

-2 = -4 + b

add 4 to both sides to isolate b

b =2

Our equation is thus y = (-2)x+2

For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3

Then, our equation is y=(1/3)x+b

plug (-3,1) in

1 = (1/3)(-3) + b

1 = -1 + b

add 1 to both sides to isolate the b

b =2

Our equation is thus y=(1/3)x + 2

Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.

For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)

For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2

Estimate the solution to the following system.

Answers

Answer:

(-150, 45)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

My best guess from the graph is

(-150, 45)

Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

345.6 mi^2

Step-by-step explanation:

S.A = 2πrh+2πr^2

= 2π(5)(6) + 2π(5)^2

= 345.6 mi^2

Answered by G a u t h m a t h

Find the measure of one interior angle for the following polygon

Answers

Answer:

i had the same question myself

Step-by-step explanation:

I need help also

In the figure, BAT - CAT. Which statement is true by CPCTC?​

Answers

Answer:

C

Step-by-step explanation:

The angles are congruent by CPCTC as they correspond with one another.

Answer:

The final answer, D

Step-by-step explanation:

Source: Done this question before



** I NEED HELP PLEASE AND THANK YOU***

Instructions : X,Y,and Z are midpoints. Find the length of each segment.​

Answers

Answer:

MZ = 10

ZO = 10

MO = 20

XZ = 9

YZ = 7

Step-by-step explanation:

Triangles are all the same, proportionally.

X is midpoint of 14, so 7

Y for 18, so 9

Triangle with 10 is 7, 9, 10

Full triangle is double at 14, 18, MO

Since angle N is same angle, MO is double 10, so 20

Z is midpoint, so both halves are 10

Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.

Can someone please help me out Its really Important please marking brainliest Answer what you can

Answers

Answer:

1.

a rectangular prism is simply a block. it has length, width and height. and similar to the area of a rectangle (length×width) we get as volume length×width×height.

other than that we only need to consider that a volume always has cubic units (like cm³, m³, ft³, ...).

the volume of a cylinder is again ground area times height, when we imagine the cylinder to stand on it circular side.

and the states standard formula (hi, internet !) for the volume of a cylinder is pi×r²×height

so, we have 75×20×14 = 21,000 cm³

and pi×75²×120 = pi×5625×120 = 2,120,575 cm³

so, the cylinder has a much bigger volume.

3.a.

the standard formula for the volume of a pyramid (hi, internet !) is length×width×height/3

the diagram means that it is a square pyramid (the ground area is a square). therefore all sides of the ground area are of equal length. length = width

so, we have 64×64×40/3 = 54631.333... m³

3.b.

as the description says, 5000 people fit in, so, to find how much volume is there available per person, we need to divide the volume by 5000.

54631.333... / 5000 = 10.923 m³

Step-by-step explanation:

and again, you need only to search the formulas on the internet, and then calculate this with the given numbers yourself, and you will be much faster than paying things here and waiting for answers and copy/pasting things.

again, there is practically nothing to explain, just to use the standard formulas and the calculator. what's the problem ?

I will gladly explain to you concepts you have not understood (that is the point of Brainliest). but I and others here are not your personal slaves to do your work for you.

Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Type your answers and then click Done.

What is the value of P?


Fill in the blank text field 1


What is the value of r in decimal form?

Fill in the blank text field 2


What is the value of t?

Answers

Answer:

2200, 0.053 and t=7

Step-by-step explanation:

Intrest will be 3158. 1

x423-2
Which expression is equivalent to log12
-?
(x+1)
O 410g,2x+ 2logi z(x2 – 2)- 5logiz(x: 1)
O 410912x+ žlog12. - 5log,2x+log421
o (x2
log124x+10912(x - 2)-510912(x)+1
4109,2x+ 3 109126x - 2)- 5log12(x + 1)

Answers

Answer:

D

Step-by-step explanation:

log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)

=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)

How much bacteria in 7 days?

Answers

Answer:

y=113*(1+0.82)^x

x=7

y=113*(1.82)^7=7474.43

For which of the following equations is x = 7 not a solution?
4= -x + 11
-3x = x - 28
-5 = 2x – 9
5x = 2x + 21

Answers

Answer: For following equation x = 7 not a solution:

-5 = 2x-9

Answer:

Step-by-step explanation:

Put x to the equation.

4=-7+11 => 4=4 ✓

-3•7=7-28 =>-21=-21 ✓

-5•7= 2•7-9 =>-35=5 is incorrect.

5•7=2•7+21 =>35=35 ✓

Hence,for the third equation x is not a solution.

Which pair of polygons is congruent?

Answers

Answer:

C

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

The ratio of Seema's age to the age of her mother is 5:12. The age difference is 21 years. What will be the ratio of Seema's age and her mother's age after three years?

Answers

Let ages of Seema and her mother be “5x” years and “12x” years respectively.

Difference between ages is 21 years

Hence,

12x - 5x = 21

7x = 21

x = 3

Therefore,

Age of Seema = 5 × 3 = 15 years

Age of her mother = 12 × 3 = 36 years

Ratio of ages after three years = ( 15+3 ) / (36+3 )

= 18 / 39

= 6 / 13

= 6 : 13

Find the Measure of one interior angle for each polygon

Answers

Answer:

5 corners : 108 degrees

6 corners : 120 degrees

Step-by-step explanation:

there are (at least) 2 different views to get the result :

officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.

each triangle has an angle sum of 180 degree.

so, the polygon angle sum is (n-2)×180 degrees.

and each (internal) angle is then (n-2)×180/n

n = 5 : (5-2)×180/5 = 3×36 = 108 degrees

n = 6 : (6-2)×180/6 = 4×30 = 120 degrees

the second approach (I prefer) goes after the external angles of the polygon.

the sum of all external angles in any polygon is 360 degrees (a full circle).

for n corners/edges each external angle is 360/n.

and the internal angle is then the complement to 180 degrees = 180 - 360/n

n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees

n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees

Please Help Me With This Geometry Problem

Answers

Answer:

Remember that the area of a square of sidelength L is:

A = L^2

And the area of a circle of diameter D is:

A = pi*(D/2)^2

If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:

Notice that the diameter of the circle will be equal to the diagonal of the square.

And the diagonal of a square of side length L is:

d = √(2)*L

knowing that the side length of our square is 6 inches, the diameter of the circle will be:

D = √2*6in

Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.

The area of the circle is:

A = pi*(√2*6in/2)^2 = (pi/2)*36in^2

The area of the square is:

A' = (6in)^2 = 36in^2

The difference is:

A - A' =  (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2

And there are 4 of these segments, then the area of every single one is one-fourth of that:

a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2

The area of each segment is:

a =  (pi/2 - 1)*9 in^2

if we replace pi by 3.14, the exact area will be:

a = (3.14/2 - 1)*9in^2 = 5.13 in^2

√4x+9 = 1-√2 giải phương trình

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]

Answers

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

giai bat phuong trinh: 10x + 3 - 5x_< 14x + 12

Answers

Answer:

x>_-1

10x + 3 - 5x_< 14x + 12

-9_<9x

Answer:

Step-by-step explanation:

10x +3-5x < (nhỏ hơn hoặc bằng) 14x=12

10-14x-5x< bằng 12 -3

-9x< bằng 9

x > bằng -1

A shop owner made a loss of 12% when he sold an item for $264. What was the cost price of the item?.​

Answers

Answer:

The cost of the item was $31.68

Step-by-step explanation:

Things to understand for this type of question!

• Converting

• Percentage

————————————————————

We are trying to find out 12% or $264

Step 1. Use part/whole = part/whole

12% is part of $264 in total

12%/100% = ?/$264

Step 2. Multiply $264 by 12% and divided by 100

12%/100% = $31.68/$264
••••••••••••••••••••••••••••••••••••••••••••••••••
Therefore, the shop owner loss $31.68

Find the value of the sum 219+226+233+⋯+2018.

Assume that the terms of the sum form an arithmetic series.

Give the exact value as your answer, do not round.

Answers

Answer:

Step-by-step explanation:

a1=219

d=a2-a1=226-219=7

2018=219+7n-7

1806=7n

n=258

S258=[(219+2018)/2*258

S258=288573.

PLS HELP
A sand castle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.


The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
5,196 square inches
7,422 square inches
10,596 square inches

Answers

Answer:

10,596 cubic inches

Step-by-step explanation:

The shape of the prism with which the sand castle can be modelled = Square prism

The arrangement of the square prism = One on top of the other

The given height of each prism, h = 6 inches

The side length of the base of the bottom prism, s₄ = 30 inches

The side length of the base of the other prism = The side length of the base of the prism below each prism - 7 inches

Therefore;

The side length of a prism = 7 inches + The side length of the prism above it

Given that the side length of the base prism (The fourth prism), s₄ = 30 inches

The side length of the prism, directly above the base prism (The fourth prism), s₃ = (30 - 7) inches = 23 inches

The side length of the prism, directly above the third prism (The second prism), s₃ = (23 - 7) = 16 inches

The side length of the top most prism, s₁ = (16 - 7) inches = 9 inches

The volume of the sand castle, V = h × (s₄² + s₃² + s₂² + s₁²)

∴ V = 6 × (30² + 23² + 16² + 9²) = 10,596

The volume of the sand castle, V = 10,596 in.³

Heyo!

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helps! If so, please lmk! Tysm and good luck guys!

1.
Write a function rule for the table.

Answers

Answer:

Step-by-step explanation:

If you plot these points on a graph, you would see that this is definitely a line. Let's find the slope of the line first:

[tex]m=\frac{2-1}{6-5}=1[/tex] (I used the last 2 coordinates on the table because I don't like negatives; and since the slope is the same for the whole entire line, it doesn't matter which points you pick to go into your slope formula)

And then use that slope and any other point in the table to write the equation. I am going to use (4, 0), since I like the 0 (less work!)

In point-slope form:

y - 0 = 1(x - 4) and

y = x - 4

That's the function rule (aka equation) for the table.

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.

Answers

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer:

The answers are A B E

Step-by-step explanation:

The American Academy of Health and Fitness released a survey, revealing that 35% of US adolescents admit they lie to their doctor about how often they eat vegetables. Dr. Vincent believes that the percentage is different than what is shown by the survey results. She decides to conduct her own hypothesis test to determine the true proportion. What should she write as the null and alternative hypotheses for this situation?

H0: μ = 0.35; Ha: μ > 0.35

H0: μ = 0.35; Ha: μ < 0.35

H0: p = 0.35; Ha: p > 0.35

H0: p = 0.35; Ha: p < 0.35

H0: p = 0.35; Ha: p ≠ 0.35

Answers

The null and the alternate hypothesis are:

H0: p = 0.35; Ha: p ≠ 0.35

Given that:

[tex]p = 35\%[/tex]

[tex]p = 0.35[/tex]

The percentage that lie are not 35% means that they are not equal to 35%

Not equal to is represented as: [tex]\ne[/tex]

So, the alternate hypothesis is:

Ha: p ≠ 0.35

The null hypothesis will be the direct opposite, i.e. equal to 35%

So, the null hypothesis is:

H0: p = 0.35;

Hence, the null and the alternate hypotheses are:

H0: p = 0.35;

Ha: p ≠ 0.35

Read more about null and hypotheses at:

https://brainly.com/question/13802969

Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)​

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

When 18 divided by a whole number N, the remainder is 4. Is this true for the many different values of N?

Answers

Answer:

2

Step-by-step explanation:

18/14 = 1 remainder 4

18/7 = 2 remainder 4

For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 21 N, what will be the acceleration of the object?

Answers

Answer:  3 m/s^2

=======================================================

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.

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Name this compound?*Please asap* PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! In Fugards "Master Haroldand the Boys", Hally and Sam discuss who they would nominate as a "Man of Magnitude" (for example, Charles Darwin or Abraham Lincoln). In at least one hundred words, create a clear, original, and debatable thesis statement about who you would nominate as a "Person of Magnitude"somebody who has changed the world for the better. Support your thesis statement with at least two supporting details. Be sure to avoid using clichs. Use at least one transition in your response. The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? what is the difference between 25ml and 25.00ml One who tricks other is bound to get tricked What is the loan amount if the interest rate is 7.5% per year and the monthly interest payment is $1,250? 1) With the help of given figure.a) Write the names of minor and major arcs.b) If mzAOQ = 70 then find m(arcAYQ) andm(arcAXQ). Read the following excerpt from the Declaration of Independence, and read the question that follows. "We, therefore, the Representatives of the United States of America, in General CongressAssembled, appealing to the Supreme Judge of the world for the rectitude of our intentions, do, in the Name, and by Authority of the good People of these Colonies, solemnly publish and declareThat these United Colonies are, and of Right ought to be Free and independent States; that they are Absolved from all Allegiance to the British Crown, and that all political connection between them and the State of Great Britain, is and ought to be totally dissolved; and that as Free and independent States, they have full Power to levy War, conclude Peace, contract Alliances, establish Commerce, and to do all other Acts and Things which Independent States may of right do. And for the support of this Declarationwith firm reliance on the protection of divine Providence, we mutually pledge to each other our Livesour Fortunes and our sacred Honor." The colonies declare they will protect the Declaration of Independence with all of the following EXCEPT what? A. Lives B. Honor C. Money D. Pride (x/4) + (2x/7 =135 solve it The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a' Conan puts tennis balls into tubes after gym class. There are 17 tennis balls, and each tube holds 3 balls. How many tubes does Conan completely fill? How many tennis balls are left? how would you detect sulphur in organic compounds if my savings of $x grows 10 percent each year, how much will i have in 2 years? what is Orwell ridiculing in the passage? Complete the following sentences using the PRESENT TENSE:1. Ana___________(PONER) la mesa del comedor.2. Tu __________(LAVAR) porque tienes la ropa sucia.3. Yo____________(FREGAR) porque no tenemos platos limpios. 4. Usted (PLANCHAR)_____________sus camisas y pantalones. 5. Luis (RECOGER) _________________ los platos en la cocina. 6. Nosotros___________________(BARRER)porque el suelo est sucio.7. Ana y Marta ___________(ASPIRAR)porque hay mucho polvo.8. Juan y yo (HACER)_______________ las camas.9. Ana (AYUDAR)_____________________con los quehaceres. 10.Ustedes (COCINAR) ________la cena de Navidad. 35 + 3 x n with n = 7 It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times 2 Which of the following is NOT a safe practice if you are a pedestrian working around vehicles?O A. Walking in the same direction as moving trafficO B. Making eye contact with drivers as they approach to make sure they see youO C. Looking both ways before stepping out from blind cornersO D. Wearing reflective materials or carrying a flashlight at night What is the molarity of a solution made by mixing 75.0 mL of 3.00 M NHOH with enough water to give 250. mL of solution?Please explain and show work.