A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?

Answers

Answer 1

Answer: 1/3 pound pecans and 2/3 pound walnuts.

Explanation:

x ==> weight of walnuts
y ==> weight of pecans

║ x + y = 1
║ 8x +2y = 6

║ x = 1 - y
║ 8x + 2y = 6

8(1 - y) + 2y = 6

8 - 8y + 2y = 6

6y = 2

y = 1/3

x = 1 - 1/3 = 2/3

Related Questions

A circle has an area of 19 5/8 square units what is the radius of the circle

Answers

Area of circle = πr²

19 5/8 = πr²

r² = 19 5/8 ÷ π

r² = 6.25

r = √6.25 = 2.5 units

Answer: 2.5 units

Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are there to choose from?

9

20

120

Answers

We have that every background can be combined to any of the poses and each background yields a unique pose. So, for each unique background we get a 5 different photographs. Since there are 4 backgrounds, we get in total 4*5=20 photos. This can be generalized in other problems too; for example if there are 3 dinner dishes and 6 lunch dishes on a menu, there are 3*6=18 combinations.

Paige has a membership to a new website. It costs $5 a month and then each song costs $0.10 to purchase. Write and equation using S to represent the number of songs that she purchased if she spends $8.20 one month. How many songs did she buy?

Answers

She bought 32 songs.

I chose this problem because my name is Paige!! The equation would be 5x (for how many months she chose) + .10s (for how much per song). To find out how many songs are purchased you can do 8.20- 5. That you would get 3.20. Then divide 3.20 by 0.10. Therefore the number of songs she bought would be 32! Good Luck!

There are 64 cookies in a jar. The probability of randomly choosing an oatmeal cookies from the jar in 37.5%. How many of the cookies are not oatmeal cookies

Answers

( 37.5% of 64 on google ) answer should be 24 cookies

the area of a circle can be tripled by multiplying the radius by what factor?

Answers

a whole circle = to 360 so you have to think of the radius to a factor for multiplying

By 1.73.

Because the formula for the area of a circle is [tex] \pi [/tex]×r².

So let us say the radius for circle A is 1. so area is equal to. [tex] \pi [/tex]×2²
which is equal to 12.56

Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699

Now, we make use of the equation solving skills.

The way to find the radius is.

A= [tex] \pi [/tex]×r²

So

√(A÷[tex] \pi [/tex])

So puting and solving the equations the factor of multiplication gives us 1.73

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Answers

You can see the trapezoid in the picture I have attached.
The trapezoid is shown in the picture attached.

The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
   = (FN × h) / 2

We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.

The area of a parallelogram is given by the formula:
A(KLMF) = b × h
   = KF × h
               = 10 × h

We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20

Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30

Hence, KN is 30 units long.

Answer:

Step-by-step explanation:

! 10 POINTS !
please help me

Answers

If two angles add up to 180 degrees, then they are considered supplementary angles

note: two angles that up to 90 degrees are complementary angles

Can someone see if I did this right I got 8937.5

Answers

It will be $8937.5 because you have to multiply 6500 by .075 (that’s the percent as a decimal) and then multiply the product by 5 years, which will equal to 2437.5. Next you add the interest, which is the total, by the principle, 6500, and you will get the balance of $8537.50. So yes you are correct

help subtraction problem
5.30 - 3.75

Answers

1.55 is the answer to your question.

5.30 - 3.75 = 1.55. Have a great day

Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?

Answers

Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)

Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5

Answer:

7.5

Step-by-step explanation:

What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80

Answers

The first quartile is the middle of the lower half of the data.

To find this you must:
1. Order the data from least to greatest.
42, 46, 51, 53, | 66, 70, 70, 90
2. Next, find where the middle of the data set it - see the line above
3. Look at the lower half of the data - see the bold half above.
4. Find the middle of that half - see the underlined numbers above.
5. Find the middle of the 2 numbers
(46 + 51)
2 = 48.5

48.5 is the 1st quartile.

Answer:

I'm positive the answer is 48.5

Perform the operation 8 1/2 + 5 1/8

Answers

Hey there!

Here is your answer:

The proper answer to this question is option "[tex] \frac{109}{8} [/tex]

Reason:

First write down the equation:

8[tex] \frac{1}{2} [/tex]+5[tex] \frac{1}{8} [/tex]

Transform the mixed numbers into improper fractions.

8 [tex] \frac{1}{2} [/tex]=[tex] \frac{17}{2} [/tex]
&
5 [tex] \frac{1}{8} [/tex]= [tex] \frac{41}{8} [/tex]

Now add:

17×4=68
2×4=8
+
41×1=41
8×1=8
68+41=109

=[tex] \frac{109}{8} [/tex]

Therefore the answer would be 109/8!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

take 8 1/2 and turn it into 8 4/8 then add it to 5 1/8 to get the total of 13 5/8

Which of the following is a characteristic of Euclidean geometry?

Answers

The parallel postulate is true?

Answer:

c. the parallel postulate is true.

Step-by-step explanation:

Please help......

1. Write an approximate equation of the line of best fit in slope-intercept form.

2. Use the equation from part B to predict the resting heart rate of a person who exercises 30 minutes per day. Show your work.

3. Explain how you found your answer to part C.

Answers

1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:

slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72

2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute

3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes

How can we get the answer for...Decrease £8 by 20%

Answers

multiply by 0.8. do 8×.8

20/100 x 8 = 1.6
8-1.6= 6.4
therefore the answer is £6.40

Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?

Answers

40+9x should be the equation

Fernando poured water from one-pint bottles into a three-gallon bucket. How many pints of water could the bucket hold?

Answers

24 pints is the answer

24

One gallon holds eight pints. 8 x 3 = 24

The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of the 3 terms?

Answers

let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10

The sum of square will be:
((10 - b)² + 10² + (10 + b)²) / 3 = 394
(100 - 20b + b² + 100 + 100 + 20b + b²) / 3 = 394
(300 + 2b²) / 3 = 394
(150+b²)=591
b²=441
b=-21,21

thus the numbers will be:
10-21, 10, 10+21
=-11,10,31

Arlen has a recipe for lasagna that serves 8 people and uses 2 teaspoons of garlic. How many teaspoons of garlic will be used to make a lasagna that serves 4 people?
A 1 teaspoon
B 2 teaspoon
C 3 teaspoon
D 4 teaspoon

Please help kinda lost thank you

Answers

Your answer is A) 1 teaspoon.

The ratio for this problem is 8, 2, where 8 is the people, and 2 is the teaspoons. 4 people is half of 8 when you divide 8/4 so you have to do the same with the other part of the ratio. when you split 2 in half, you get 1 teaspoon as your answer

Hope this helps :)

If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?

There should be more than 1 answer

A) Angle G

B) Angle F

C) Angle B

D) Angle A

E) Angle E

F) Angle C

G) Angle D

Answers

I think it’s A, D, E, and then F

The answers is A, C, E and G.

Can please help!
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. Show your work

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

Which box-and-whisker plot best represents the data?

34, 36, 38, 40, 45, 45, 48, 50, 52, 60

Answers

the answer is A. A is the answer

The box-and-whisker plot which best represents the data is graph A

What is box plot?

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Let the data of the box plot be represented as A

Now , the value of A is

A = 34, 36, 38, 40, 45, 45, 48, 50, 52, 60

So , the median of the data is given by

M = ( 45 + 45 ) / 2

M = 45

Now , the box plot which represents the median at 45 is graph A

Hence , the box plot is solved

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McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?

Answers

$1499 is the answer you multiply 100 by 15 then 100 by 29.99 and get 2999 and 1500. You subtract them together 2999-1500 to get 1499

A prism is filled with 44 cubes with 1/2 units side lengths. What is the volume of the prism in cubic units?

Answers

The volume would be 5.5 cubic units.

First, we need to find the volume of one cube. It would be LWH.
0.5 x 0.5 x 0.5 = 0.125

Now, just multiply that volume by 44.
0.125 x 44 = 5.5

When two six-sided dice are rolled, there are 36 possible outcomes.

a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

Answers

A. 33/36 or 92% B. 26/36 or 72%

A. List the possibilities that do have a sum of 4. (1,3) (3,1) (2,2). 3/36. subtract 3/36 from the whole to get probability it does not have a sum of 4. 36/36-3/36=33/36 or 92%

B. List the possibilities if is less than or equal to 5 because it will be a smaller amount than if it is greater and subtract like we did in the previous problem. (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1). 10 total 36/36-10/36= 26/36 or 72%

Final answer:

The probability that the sum of two six-sided dice is not 4 is 11/12 or 92%. The probability that the sum is greater than 5 is 5/12 or 42%.

Explanation:

The subject of this question is probability, which is a branch of mathematics. When two six-sided dice are rolled, there are indeed 36 possible outcomes.

There are three possible ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability that the sum is not 4 is 1 - (3/36) = 33/36. This simplifies down to 11/12, and as a percent it rounds to approximately 92%.

There are 15 different combinations that result in a sum that is greater than 5. So the probability is 15/36, which simplifies to 5/12. This roughly translates to 42% when expressed as a percentage.

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Jamelia estimates the square root of 72 in the following way:
√72 = 2√36 = 2*6 = 12

(a) Explain why her reasoning is incorrect.

(b) Estimate the square root of 72 to the nearest tenth. Show your work.

Answers

Part a)
we have that
√72
√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2

alternative method
72 is equal to-------> 2³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2

Part b)Estimate the square root of 72 to the nearest tenth

we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5

the answer Part b) is 8.5

dividing whole numbers 22 divided by 300

Answers

Answer:

22 divided by 300 will be equal to 0.07333.

Step-by-step explanation:

Dividing 22 by 300

[tex]\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}[/tex]

[tex]\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}[/tex]

[tex]\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}[/tex]

The value of [tex]\frac{11}{15}=0.7333[/tex]

[tex]\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333[/tex]

So, the value of 22 divided by 300 will be equal to 0.07333.

Final answer:

Dividing 22 by 300 gives a quotient of 0.0733, representing the proportion of 22 out of 300.

Explanation:

To perform the division of the whole numbers 22 and 300, you simply divide 22 by 300 using long division or a calculator. However, since 300 is larger than 22, the result will be a decimal or fraction that is less than 1. Mathematically represented as:

22 ÷ 300 = 0.0733

In a real-world scenario, this number could be interpreted as the proportion or percentage of a whole that the number 22 represents out of 300.

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the dimensionn of the box that a radio came in are 12in. 8in by 5in

Answers

200 in i think i hope you get 100%

Final answer:

The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.

Explanation:

The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.

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How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)

Answers

Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?

Let x = 49

(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147

My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??

Answers

[tex]Grade=Paper+Other[/tex]
[tex]Grade=(Grade_{paper}\times Value_{paper})+(Grade_{other}\times Value_{other})[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times (1-30\%))[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times 70\%)[/tex]
[tex]Grade=0+53.9\%[/tex]
[tex]Grade=53.9\%[/tex]

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