The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?



Round answers to the nearest pound.



pounds of cashews
pounds of Brazil nuts

Answers

Answer 1

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96


Related Questions

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.

Answers

Answer:

He would need to sell 14 more hotdogs

Step-by-step explanation:

140/56= 175/x

140x= 9,800

x= 70

56-70= 14

Please be correct, HELP ASAP!!!!

Answers

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

Step-by-step explanation:

we are given a equation

we want to figure out x

add 10 to both sides:

[tex] \displaystyle \: (x + 15 {)}^{2} = 10[/tex]

square root both sides:

remember that,

[tex] \displaystyle \: a = \pm \sqrt{b} [/tex]

by that

[tex] \displaystyle \: x + 15 = \pm\sqrt{10} [/tex]

cancel 15 from both sides:

[tex] \displaystyle \: x = \pm\sqrt{10} - 15[/tex]

so

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

A farmer used 204 feet of fencing to enclose a garden in the shape of a rectangle. If the length of the garden is twice the width, what is the width of the garden?
A) 34ft
B) 40.8ft
C) 51ft
D) 68ft
E) 81.6ft

Answers

Answer:

A

Step-by-step explanation:

Area=L+L+B+B

L=2

B=1

So, L+L+B+B=6

204/6=34

So, it's 34 ft, which is A.

Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.

Answers

Answer:

d=11.2

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]

[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]

[tex]d=\sqrt{10^{2}+5^{2} }[/tex]

[tex]d=\sqrt{100+25}[/tex]

[tex]d=\sqrt{125}[/tex]

[tex]d=11.18[/tex]

[tex]d=11.2[/tex]

Need help with this question?

Answers

Answer:

The equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

Step-by-step explanation:

According to the statement, we have a second order polynomial of the form [tex]A\cdot x^{2}+ B\cdot x + C = 0[/tex], whose solutions can be found by Quadratic Formula:

[tex]x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}[/tex] (1)

Where [tex]A[/tex], [tex]B[/tex] and [tex]C[/tex] are the coefficients of the polynomial.

If roots are conjugated complex numbers, then:

[tex]B^{2}-4\cdot A\cdot C < 0[/tex] (2)

[tex]B^{2} < 4\cdot A \cdot C[/tex]

If we know that [tex]A = 1[/tex], [tex]C = 2[/tex] and [tex]x_{1,2} = -1\pm i[/tex], then we find that:

[tex]-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}[/tex]

[tex]-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}[/tex]

By comparing each side, we have the following system of equations:

[tex]-B = -2[/tex] (3)

[tex]\sqrt{B^{2}-8} = 2[/tex] (4)

Whose solution is [tex]B = 2[/tex].

In a nutshell, the equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

what is 11 divided by 2872?

Answers

261.09090909090909090901

Answer:

Step-by-step explanation:

Solve the following polynomial equation by grouping and factoring. 4y^3 – 9y=0 Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. y = ​

Answers

Answer:3/2

Step-by-step explanation:

In order to oversee airport security, the government created
o the Patriot Act.
O the 9/11 Commission
O the Transportation Security Administration,
O the Department of Homeland Security

Answers

Answer:

C. The Transportation Security Administration

Step-by-step explanation:

Its C

The Transportation Security Administration was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

What is the Transportation Security Administration?

The Transportation Security Administration is one if the departments in the United States government whose primary function is to oversee the security of the country at airports.

The department was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

Learn more about airports: https://brainly.com/question/15195602

Determine whether the figure is a parallelogram.

Answers

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Classify the expression: −2x

Answers

Answer:

linear expressions is the answer

Find the erea of the trapezoid.

Answers

Answer:

the area is 32

Base (a) 2

Base (b) 6

height (h) 8

what is the greatest common factor GCF of 30,66. 84​

Answers

Answer:

6

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

6

6. What is the circumference of a circle at the right in terms of it

Answers

Answer:

The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle.

Step-by-step explanation:

Classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

At one school, the average amount of time that tenth-graders spend watching television each week is hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours.

a. Two-tailed
b. Right-tailed
c. Left-tailed

Answers

Answer:

C: left tailed

Step-by-step explanation:

In two tailed hypothesis, the alternative hypothesis is when mean can either be lesser or greater than the given value. Usually uses the symbol ≠.

In right tailed, the alternative hypothesis is when the mean is greater than the given value.

In left tailed, the alternative hypothesis is when the mean is lesser than the given value.

In this question, the hypothesis test to be performed is to determine if the average amount of time spent watching television per week has decreased from the given value of 21.6 hours.

Thus, it is left tailed test.

NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Answers

Answer:

B) Yes; POSN~KDAG; scale factor 5:4

Step-by-step explanation:

B) Yes; POSN~KDAG; scale factor 5:4

Same angles (If 3 are the same, the 4th is the same).

Comparing the 4 respective sides:

15/12=5/4

10/8=5/4

7.5/6=5/4

15/12=5/4

Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)

Answers

Answer:

all you did multiply it

Step-by-step explanation:

2x° + 14°
60°
X=
degrees.

Answers

2x+14=60(vertical)
2x=46
x=23

Answer:23

Step-by-step explanation:

23232332323223323232323232323


Will give brainlyest

Drag the tiles to the correct boxes to complete the pairs
Find the missing the coordinates
A2.5 6.5 and 1) are
three vertices of square ABCD. What are
the coordinates of vertex
A2.33.37.33 and are
three vertices of square ASD What are
the coordinates of verte 2
O
AS-13.8.-1) and ansare
three vertices of rectangle ASD What
are the coordinates of vertex
A-L 4.80.4 and 7-13 are
three vertices of rectangle AS What
are the coordinates of verte

Answers

Answer:

I am trying to find the answer to this question as well, go to another website, maybe even Quizlet

Step-by-step explanation:

click image to see it all..... thank you ​

Answers

Answer:

x = 7.5

Step-by-step explanation:

Proportions:

5            x

_     =     _

6            9

Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.

Answers

Answer:

33 girls

Step-by-step explanation:

This is the answer because:

1) 3/4 of 44 is 33 because 1/2 of 44 is 11

               a) 11 x 3 = 33

Hope this helps! :)

Answer:

33 girls

Step-by-step explanation:

44/4= 11

11x3=33

plz mark me as brainliest.

Adams watches a movie that is 2 hours 15 minutes long how many minutes is the time

Answers

Answer:

135 minutes

Step-by-step explanation:

Answer:

135 minutes

Step-by-step explanation:

1 hour= 60 minutes

2hours=60x2=120 minutes

120+15=135 minutes

plz mark me as brainliest.

What is the value of 5x - 3y if x=5 and y= -1?

Answers

Answer and Step-by-step explanation:

To solve, we have to plug in the x and y values given to us into the equation.

5(5) - 3(-1)

Simplify

25 - -3

The negatives cancel each other, leading to becoming positive.

25 + 3

Add

28

The value of the expression with the given values for x and y is 28.

#teamtrees #PAW (Plant And Water)

if the third term is 1,000 and the second term is 100 what is the first term

Answers

Answer:

may be 10

Step-by-step explanation:

as 1000/10=100

therefore

100/10=10

A bank has a special vault for valuable items . It has 3 dials that operate the combination . The first dial has the numbers from 1 to 100 , the second and third each have the 26 letters of the alphabet . In order to open the vault, the bank manager must correctly set each dial . How many possible combinations are there for this vault?


100

52

26

67,600

152

Answers

Answer:

There are 67,600 possible combinations for this vault.

Step-by-step explanation:

First dial: 100 possible values

Second dial: 26 possible values

Third dial: 26 possible values.

How many possible combinations are there for this vault?

Multiplication of these values. So

100*26*26 = 67600

There are 67,600 possible combinations for this vault.

For f(x) = -5x + 4, what is the value of x for which f(x) = 20

Answers

Answer:

- 3.2

Step-by-step explanation:

- 5x + 4 = 20

- 5x = 20 - 4

- 5x = 16

x = 16 / - 5

x = - 3.2

A pet store has 6 cats. Here are their weights (in pounds).
16. 9. 7. 9, 11, 16

Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
pounds
?

Answers

2. 7-9=2 those are the middle two numbers so you subtract them to get 2
Your answer for this would be 2, hoped this helped!

Factor this expression. 4 x - 16​

Answers

The answer is the last one bc 4 times x is 4x and 4 times 4 is 16

1 Secchie die Rechenregeln
b) 4 (70+30)
4. 70 + 30
c) 6 (50-40)
650 - 40 -
2.80 - 20
a) (90-30) - 3
90 - 30-3-
e) . (40 - 20)
7. 40 - 20 -
+) (80-10)
SO - 10.7
g) (40+60) 8 -
40 - 60 - 8
h) 250 + 50 5
(250+50). 5
i 360 - 60 6 =
(360-60). 6 =​

Answers

Answer:

4747484o5958583883

Step-by-step explanation:

fax bro just spitting fax

Help me ASAP HELP ME ASAP HELP ME ASAP

Answers

9514 1404 393

Answer:

  9%

Step-by-step explanation:

The interest earned is ...

  I = Prt . . . . . principal P at annual rate r for t years

Solving for r, we find ...

  r = I/(Pt) = $540/($3000×2) = 0.09 = 9%

The interest rate on Beka's loan is 9%.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!

Answers

Answer:

ATP - product, energy for all cells

Glucose - reactant, a carbohydrate

Oxygen - gas animals breathe in

Water - product, liquid

CO2 - gas animals breathe out

Step-by-step explanation:

trust me i learnt this concept

Answer:

atp = energy for the cell

glucose = a carbohydrate

water = liquid

oxygen = gas animals breathe in

carbon dioxide = gas animals breathe out

Step-by-step explanation:

Other Questions
Identify and describe the three areas that any airport is divided into for airport security to manage these areas effectively when the springboks arrived checked in and boarded their plane Which trig function would you use to solve for x?A.) No answer text provided.B.) tan40= x/19C.) sin40= x/19D.) cos40= x/19 A volcano has no ____only heat. what do you want to be you grow up I NEED HELP!!! BRAINLIEST!!!Drag each function to its protocol name.Classify the functions of DHCP and DNS protocols.assigns an IP address to each hosttranslates domain names into IP addressesmakes it easy to create English or language names for IP addresseseliminates manual errors in setting up IP addresses 6) To eat little bites of foodA) To needleB) To NibbleC) To Enjoy foodD) To eat patiently PLEASE HURRY! NO LINKS! RIGHT ANSWERS ONLY!What should you do before starting an account online at a photography site? Ask a parent about it. Copyright all of your photographs. Tag your photographs. Find the rating for the site For the right triangle shown, what is the sine of angle C? Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) m(x) n(x). a. Determine the degree of the function f(x). 75 is 25% more than 60, but 60 is 20% less than 75, explain why? hi, can you please help me with this please? thanks What does the poet mean in the line, Some words die caged?The words are uncommon.The words are no longer used.The words are used in a specific language.The words are in books that are no longer read. Haider Ali and Tipu Sultan were skilled in warfare but still were unable to defeat the British. Why do you think so? Explain in 50 to 60 words Well did u ever wonder what's invisible but you wish people could see 12 divided by x = 50 help plz i will give all my point's You are 25 years old and are considering full-time study for an MBA degree. Tuition and other direct costs will be $60,000 per year for two years. In addition, you will have to give up your current job that has a salary of $50,000 per year. Assume tuition is paid and salary received at the end of each year. By how much does your salary have to increase (in real terms) as a result of getting your MBA degree to justify the investment? Assume a real interest rate of 2% per year, ignore taxes, assume that the salaries for both jobs increase at the rate of inflation (i.e. they stay constant in real terms), and that you retire at 65. Note: the $1 for T periods annuity formula is (1/r)*[1-1/(1+r)^T]. g trading neon pink cat in adopt me offer me HELP HELP HELP A triangle has two sides of length 14 and 18. What is the largest possible whole-number length for the third side? Most organisms have a fight-or-flight response when they sense danger. In mammals, two organ systems work together to produce this response.Which of these body systems is involved in the information above?Select one:respiratory and circulatorynervous and digestiverespiratory and excretorynervous and endocrine