A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts​ separately?

There should be __ pounds of cashews in the mixture.
​(Type an integer or a​ decimal.)

Answers

Answer 1

Answer:

7.5 pounds

Step-by-step explanation:

The computation is shown below:

let  us assume x be the pounds of cashews,

and the total pounds will be x + 10

Now the equation is  

10($1.5) + x(5.00) = (10 + x)(3.00)

15 + 5x = 30 + 3x

2x = 15

x = 7.5 pounds


Related Questions

Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.

Answers

Answer:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

Step-by-step explanation:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Option A and E are the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).

This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.

Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.

This claim is supported by the confidence interval since the upper limit of the interval is less than 5.

Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.

Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.

Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.

This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.

Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

This claim is supported by the confidence interval since the upper limit of the interval is less than 6.

Therefore,

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Learn more about confidence intervals here:

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What is the y-intercept of the line?

Answers

Answer:

28

Step-by-step explanation:

Answer:     5 is the y-intercept    and -16 is the slope

22 - 17 =   5

32 - 48 = -16

Step-by-step explanation:

HELP ASAP!!!!! 20PTS!!

Answers

Answer:

the answer is 80!!!!!!!!!!

Step-by-step explanation:

If 70% of a number is 126 and 95% of the same number is 171, find 25% of that number.

Answers

Answer:

45

Step-by-step explanation:

70%=126

100%=?

100×126=12600÷70

=180

100=180

25=?

25×180÷100

=45

What is the value of x in the following equation?
7x + 5(2x – 10) = 69

Answers

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Jason has 5 boxes and 3 cases of soup cans Each box contains 6 cans and each case contains 36 cans How many cans of soup does Jason have altogether?

1. 138
2. 198
3. 288
4. 3,240

Answers

1. 138
step one - find the cans of soup in boxes
5 times 6 is 30, so there are 30 cans in boxes

step two - find the cans of soup in cases
3 times 36 is 108, so there are 108 cans in cases

step 3 - add them together to find the total number of cans
30+108=138

hope this helps!

1)Using the symbolic representations p: The food is spicy q: The food is aromatic express the following compound statement in symbolic form: a) The food is aromatic and spicy. b) If the food isn't spicy then it isn't aromatic c) It is not the case that the food spicy or aromatic. d) Being non-aromatic is sufficient for a food to be non-spicy.

Answers

Answer:

one one one one one oneone one one one

Solve for w. Only use numbers in your answer.

8w - 15 = 57

w =

Answers

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

Can you plz help I don’t understand

Answers

Answer: 4.2

Step-by-step explanation:

calculate the slope line that passes through points (0,3) (2,9)

Answers

9 - 3 = 6
2 - 0 = 2
Finally do 6 divided by 2 and you get 3.

The slope is 3

How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week

Answers

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

A fraction of the figure below is shaded.
3rd grade

Answers

The answer is D. Please give me brainliest

Answer:

D

Step-by-step explanation:

The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1

If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table

Answers

Answer:

the day.

step-by-step: you dont need the day

Answer:

G

Step-by-step explanation:

Please solve this math question.

Answers

Answer:

none of these

Step-by-step explanation:

the side lengths are are 2√5/5, 2, and 4.

sin(x) = opp/hyp

sin(x) = 2/2√5

Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help

Answers

Answer:

6x + 17

Step-by-step explanation:

Combine like terms

9x - 3x = 6x

5 + 12 = 17

6x + 17

an employer pays three workers x,y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month​

Answers

Answer:

X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Step-by-step explanation:

Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:

X = 1.25Y

Y = 0.8Z

Z = Z

Z + Y + X = 6,100

Z + 0.8Z + (1.25 x 0.8Z) = 6,100

Z + 0.8Z + Z = 6,100

2.8Z = 6,100

Z = 6,100 / 2.8

Z = 2,178.57

Y = 0.8 x 2,178.57 = 1,742.85

X = 1,742.85 x 1.25 = 2,178.57

2,178.57 + 2,178.57 + 1,742.85 = X

6,099.99 = X

Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Simplify the following expression

6y + 8 - 2y + 5y - 9

Answers

Answer: 9y-1

:))))))))))))))))))))

What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3

Answers

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Can someone please help me

Answers

Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

i think the answer would be the 3rd

7.59 x 10^5 in standard form

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7.59 \times 10^5}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10(10)(10)(10)(10)}[/tex]

  [tex]\mathsf{10(10) = 100}[/tex]

[tex]\mathsf{= 100(100)(10)}[/tex]

[tex]\mathsf{100(100) = 10,000}[/tex]

[tex]\mathsf{= 10,000(100)}[/tex]

[tex]\mathsf{= 100,000}[/tex]

[tex]\mathsf{7.59(100,000)}[/tex]

[tex]\mathsf{= \bf 759,000}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \bf 759,000}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is the value of n when 3/5 of n is 27?

Answers

Answer:

n=45

Step-by-step explanation:

divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45

A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?

Answers

Using al values in grams
600grms/5gms=120 nails

Marge conducted a survey by asking 350 citizens whether they frequent the city public parks. Of the citizens surveyed, 240 responded favorably.

What is the approximate margin of error for each confidence level in this situation?

0.07

0.03

0.04

0.05

0.06

99%

95%

90%

Answers

Answer:

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

350 citizens, 240 responded favorably:

This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.

Complete the congruency statement for the triangles

Answers

Answer:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

Step-by-step explanation:

<A ≅ <E,

Side length AC ≅ Side length EF

Side length AB ≅ Side length ED,

Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.

Therefore, we would conclude that:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

What is the value of x?
What is the value of z?
What is tue value of y?

Answers

Answer:

x is equal to 55

y is equal to 70

z is equal to 55

Step-by-step explanation:

You can see that x is equal to (180 - 125)°, because x° and the 125° mark form a single line.

So x is equal to 55.

Also, because of the markings on the two sides of the triangle, we can see that it's an Isosceles triangle, meaning x and z are equal, so z too is equal to 55.

Finally, knowing that the sum of the angles inside any triangle is 180°, y then must equal (180 - 55 - 55)°, or 70°

x=55
z=70
y=55

hope this helps!!

Please give me the answer

Answers

Answer:

B is the right answer

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Left Two Up Three

PLEASE HELP
WILL MARK BRAINLY
1. The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent. Which of the following equations
defines the population t years after 2010?
O P= 45, 2302
OP=45, 230(1+0-2)*
OP=45, 2300
OP=45, 230(1 +0.02)

Answers

Answer:

C

Step-by-step explanation:

The following equation defines the population t years after 2010,

P = 45230(1 + 0.02[tex])^{t}[/tex].

What is Exponential Growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and sx is the time period.

Given:

The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.

The formula;

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

That means,

P = 45230(1 + 0.02[tex])^{t}[/tex]

Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]

To learn more about the exponential growth;

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Which fraction has the larger value? *
-3/4
-1/2

Answers

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

A kite is flying at the end of a 20-meter string. If the string makes an angle of 55° with the ground, how many meters above the ground, to the nearest meter, is the kite

Answers

The total distance of Kite from the ground is 16.38 meters and this can be determined by using the trigonometric function.

Given :

A kite is flying at the end of a 20-meter string. The string makes an angle of 55° with the ground.

The following steps can be used in order to determine the total distance of Kite from the ground:

Step 1 - The trigonometric functions can be used in order to determine the total distance of Kite from the ground.

Step 2 - The sine function is used to measure the distance. The mathematical expression of the sine function is:

[tex]\rm sin\theta = \dfrac{P}{H}[/tex]

where P is the perpendicular and H is the hypotenuse.

Step 3 - Now, substitute the values of the known terms in the above expression.

[tex]\rm sin55 = \dfrac{Distance}{20}[/tex]

Step 4 - Simplify the above expression.

Distance = 16.38 meters

For more information, refer to the link given below:

https://brainly.com/question/13710437

–12x +12 + 10x – 16 *

Answers

Answer:

x=2

Step-by-step explanation: you would have  to  move 10 to the other constant  and add and then move 12 to 16 by adding 12 to 16 then  divide the 2 number then BOMB

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