The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts worth $9 per pound to get 50 pounds of a mixture that will sell for $6.80 per pound. She uses 10 fewer pounds of cashews than peanuts. How many pounds of each did she use?

Answers

Answer 1
let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.

The total pounds is 50, therefore
x + y + z = 50                   (1)

The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340         (2)

There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10                         (3)

Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40                     (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310                (5)

From (4),
z = 40 - 2y          (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20

Answer:
Peanuts:     20 pounds
Cashews:   10 pounds
Brazil nuts: 20 pounds



Related Questions

A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number of red ribbons was 3 more than the number of white ribbons. How many of each kind of ribbons was awrded?

Answers

There are 12 white ribbons, 15 red ribbons, and 11 blue ribbons.

38=(w-1)+(w+3)+w
combine like terms
38=2+3w
subtract 2 from both sides
36=3w
divide 3 on both sides
12=w

w-1=b
12-1=b
11=b

w+3=r
12+3=r
15=r

Check Your Work
w+r+b=38
15+11+12=38
38=38

need this solved (3x+2y)(5x-6y)

Answers

15x^2-12y^2

A variable times itself gets you a square.
then just multiply the numbers.

the highest temperature in Denver is -23.7 on February 7. the highest temperature the next day was 5 warmer. what was the next day high temoerature

Answers

The next day high temperature will be -18.7

The temperature will be considered as 'warmer' as the temperature increased and will be considered as 'colder' if the temperature decreased.
So, if the temperature for the next day is 5 degrees warmer, then it must be:

-23.7 + 5 = -18.7 Degree

A store and a bank would both charge fees for _____.

failure to maintain a minimum balance

paying a bill online

conducting transactions with a teller

bouncing a check

Answers

Answer:

bouncing a check

Step-by-step explanation:

Bouncing a check occurs when you write a check for more money than you have in your account.

A bank charges a fee any time you bounce a check.  

The store that you write a bounced check to will also charge you a fee.

Find the measure of angle y. Round your answer to the nearest hundreth.

Answers

check the picture below.

distributive property of the product of 127 and 32

Answers

127(32) could be re-written as (130-3)(30+2).  To evaluate this, we'd use the distributive property of multiplication:  130(30) + 130(2) - 3(30) -3(2).

That comes out to 3900 + 260 - 90 - 6.  Combine the positive terms.  Then combine the negative terms.  Last, combine the single positive term with the single negative one:  4160 - 96 = ?

Write the phrase “all real numbers that are greater than −4 and less than or equal to 7” as a compound inequality.

Answers

The answer is going to be -4 < x 7 but instead of the other sign put a line under it so it could be less than or equal to

Answer:

-4< X ≥ 7

Step-by-step explanation:

The sign of < indicates greater than, so that would express numbers greater than -4 and the sign ≥means smaller or less valuable or equal to, so with that you represent equal or less than 7, with that expression you can represent all the real numbers that are greater than -4 and less or equal to 7.

the area of a square is 225 square inches. find the length of a side of the square.

Answers

The area of a square is equal to length^2 because all lengths of a square are equal.
Let x represent the length.
x^2 = 225
You would have to square root both sides.
x = 15
The length is 15 inches.

"given a population in which the probability of success is p = 0.20, if a sample of 500 items is taken, then calculate the probability the proportion of successes in the sample will be between 0.18 and 0.23 if the sample size is 200."

Answers

Final answer:

To find the probability that the proportion of successes in a sample is between 0.18 and 0.23, we approximate the binomial distribution with a normal distribution and calculate the z-scores for the specified values using the distribution N(0.2, sqrt((0.2)(0.8)/200)).

Explanation:

To calculate the probability of the proportion of successes being between 0.18 and 0.23 for a population with a success probability of p = 0.20 and a sample size of n = 200, we use the sampling distribution of the sample proportion.

Firstly, to ensure the use of the normal approximation, we check the conditions: np = 40 and nq = 160, both greater than 5, allowing us to approximate the binomial distribution with a normal distribution where μ = p and σ = sqrt(pq/n).

For n = 200 and p = 0.20, the sampling distribution of the sample proportion p' is approximately N(0.2, sqrt((0.2)(0.8)/200)). Using this distribution, we can calculate the z-scores for 0.18 and 0.23 and then use standard normal distribution tables or software to find the probability that p' falls between these two values.

Learn more about Sampling Distribution here:

https://brainly.com/question/39609355

#SPJ2

52 companies; 25% increase

Answers

52*1.25=65

it increased to 65 companies.

I think thats wat u meant... if not then sry

Gwen has a £5 note and a £2 coin
A liter of cola costs £1.25
Gwen buys as many liter bottles as she can
How much money will she have left over

Answers

5+2=7
7/1.25=5.6
1.25*5=6.25
7-6.25=.75

$0.75 is your answer.

She will have £0.75 left over after the purchases.

First, we calculate the total amount of money Gwen has:

£5 (note) + £2 (coin) = £7

Next, we determine how many liter bottles of cola Gwen can buy:

Each bottle costs £1.25

Number of bottles she can buy = £7 ÷ £1.25

                                                    = 5 bottles

Now, we compute the total cost of 5 bottles:

5 bottles × £1.25/bottle

= £6.25

Finally, we find out how much money Gwen will have left over:

Total money - Total cost = £7 - £6.25

                                       = £0.75

Gwen will have £0.75 left over after buying as many liter bottles of cola as she can.

What are the steps for using a compass and straightedge to construct a square ?

Answers

STEPS:
1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'. 
3. Construct a perpendicular at point B' to the line through .
4. Place your compass point at B', and copy the side of the square onto the perpendicular . Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left. 
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.
Hope this Helps

In a crayon box there are 5 dark colors for every 8 light colors if there are 20 dark colors how many light colors are there?

Answers

32 Light Colors. Since there are 5 dark for every 8 light, you can expand that ratio over the 20 dark that are present. 5:8 is the same as 20:32. Therefore, there are 32 light colors in the box.

A student got 34 pencils for school. If she sharpen 16 of the pencils before school what is her ratio of unsharpened pencils to sharpened pencils

Answers

34-16 = 18

 so 18 are unsharpened

ratio is 18/16 reduced to 9/8

34 total pencils......16 were sharpened...that means (34 - 16 ) = 18 pencils that were not sharpened.

so the ratio of unsharpened pencils to sharpened pencils is :
18:16 which reduces to 9:8 or 9/8 or 9 to 8 <==

Why do computer manufacturers typically make their new processors backward compatible with earlier processors?

Answers

Backward compatible typically means that the new invention would be compatible with previous inventions. So in this case, the new processor is compatible with the older processors. This is intended so that programs made for older processors can be used on the new one without the need for further modification. 

Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?

Answers

$2.84
Add $5.42, $2.55, and $3.39 together then divide by 4 (how many people in total there are) and you will get $2.84

Answer:

$2.84 is your answer

Which is the same as dividing a number by 1,000?

Answers

Answer:

yoou move the decimal place 3 times to the left

Step-by-step explanation:


Answer:

Move 3 times to the left

Step-by-step explanation:

a patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. how much medicine is to be taken in each dose?

Answers

Okay. So we have to do division, because you're dividing 4 1/4 (17/4) tablespoons of medicine by 5 doses. The formula for multiplying fractions is keep, change, flip. 17/4 * 1/5 is 17/20. 17/20 tablespoon of medicine is supposed to be taken in each dose.

Follow below steps:

A patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. How much medicine is to be taken in each dose?

Convert 4 1/4 tablespoons to a proper fraction, which is 17/4 tablespoons.

Divide 17/4 by 5 to find out how much medicine is to be taken in each dose. This equals 17/4 ÷ 5 = 17/4 × 1/5 = 17/20 tablespoons.

In how many ways can you arrange 3 out of 5 books (a, b, c, d, and
e.on a shelf, if the order of each arrangement matters (so abc is different from cba)?

Answers

There are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering. So option (c) is correct.

To calculate the number of ways to arrange 3 out of 5 books with order mattering, we'll use the permutation formula [tex]\( P(n, k) = \frac{{n!}}{{(n-k)!}} \)[/tex], where ( n ) is the total number of items and ( k ) is the number of items to arrange.

In this case, we have ( n = 5 ) books and we want to arrange ( k = 3 ) of

them. So, [tex]\( P(5, 3) = \frac{{5!}}{{(5-3)!}} \)[/tex].

Let's break down the calculation step by step:

Calculate ( 5! ):

[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \).[/tex]

Calculate [tex]\( (5-3)! = 2! \)[/tex]:

[tex]\( (5-3)! = 2! = 2 \times 1 = 2 \).[/tex]

Divide [tex]\( 5! \) by \( (5-3)! \)[/tex]:

[tex]\( \frac{{5!}}{{(5-3)!}} = \frac{{120}}{{2}} = 60 \).[/tex]

So, there are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering.

The correct answer is: c. 60

Complete Question:

In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)?

a. 5

b. 120

c. 60

d. 10

Darcy plants some flowers in her back yard. She plants 5 zinnias and 7 verbenas in each of her 3 flower beds. What is the total number of flowers she planted?

Answers

36 flowers planted total

Total # of flowers = 3(5 zinnias + 7 verbenas) = 3(5 flowers + 7 flowers) = 36 flowers.

what is the value of the 9 in 0.792

Answers

it's in the tens place
the nine is in the hundredths place which means the nine's value is nine hundredths

I need the answer for this problem help

Answers

Pretty sure its 26. Just calculate the perimeter then divide by 6.
'Fencing' is something to do with the perimeter of a shape as the post would go around the border of the shape.

The perimeter of the rectangular field is given by:
42 + 42 + 36 + 36 = 156 feet

The post is to be arranged with 6 feet gap in between each post, so the number of posts needed would be 156 ÷ 6 = 26 posts

What is the image of E for a dilation with center (0, 0) and a scale factor of 6?

(30, 6)

(-30, 6)

(30, -1)

(-30, 1)


Answers

(-30,6) im pretty sure

Answer:

-30, 6

Step-by-step explanation:

6x-5= =30

1x6=6

the numbers on the football field indicate 10 yards increments. you walk around the perimeter of the football field between the pylons. you walk a distance of 306 2/3. find the perimeter of one end zone

Answers

Answer:

Perimeter of one end zone = 126.66 yards.

Step-by-step explanation:

Perimeter of the football field between the pylons = Perimeter of  ABCD in the figure = [tex]306\frac{2}{3}[/tex]

Now in figure we can see, If we remove the length of line segment AB and CD, we will left with sides of end zones AD and BC.

AD + BC = 306.67 - 200 ( each increment by 10 , therefore 10 x 10 + 10 x 10 = 200) = 106.67 yards

In figure, we can see AD = PQ = BC = half of 106.67 yards

So, PQ + AD = 106.67

Now, For one end zone which is of triangular shape, Perimeter = PQ + AD + AP + QD = 106.67 + 10 + 10 = 126.67 yards

Note:- In figure, we can see AP = QD = 10 (∵ increment by 10 yards)

Thus, the perimeter of one end zone is 126.67 yards.

The perimeter of one end zone is 126.67 yards.

To calculate this, we first need to know the total perimeter of the football field. The numbers on the field indicate 10-yard increments, so we can count 10 yards between each pair of pylons. There are 10 pairs of pylons on the field, so the total perimeter of the field is 10 * 10 = 100 yards.

The football field is 120 yards long, including the end zones. This means that each end zone is 10 yards long. Therefore, the perimeter of one end zone is 2 * 10 = 20 yards.

However, the end zones are not straight lines. They are curved, with a radius of 10 yards. This means that the perimeter of one end zone is not just 20 yards. We need to use the formula for the circumference of a circle to find the perimeter of the curved part of the end zone.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Plugging in the values for the radius of the end zone, we get C = 2π(10) ≈ 62.83 yards.

Therefore, the perimeter of one end zone is 20 + 62.83 = 82.83 yards.

Josh rented a truck for one day. There was a base fee of$14.99,and there was an additional charge of81cent for each mile driven. Josh had to pay$117.05 when he returned the truck. For how many miles did he drive the truck

Answers

  $117.05
- $  14.99
-------------
  $102.46 left

Divide 102.46 by 0.81, and you get 126, which makes it 126 miles.

Hope this helps!

Sent a picture of the solution to the problem (s).

Catherine walks her dog 3/4 mile everyday how far does she walk each week

Answers

Catherine walks her dog 5.25 miles because there are 7 days in one week and 3/4 x 7 = 5.25
First, you multiply 3/4 by 7.

3/4 x 7 = 21/28

Catherine alks her dog 21/28 in a week.

I hope this helped!

The area of a rectangle is 55 yd^2 , and the length of the rectangle is 4 yd less than three times the width. Find the dimensions of the rectangle.

Please help ASAP!

Answers

Final answer:

To determine the dimensions of the rectangle, set up a quadratic equation using the given area and the relationship between the length and width, then solve for the width and consequently the length.

Explanation:

To find the dimensions of the rectangle with an area of 55 yd2 and a length that is 4 yards less than three times the width, we need to set up and solve a quadratic equation. Let the width be x yards. According to the problem, the length is 3x - 4 yards. The area of a rectangle is calculated by multiplying the length by the width, so we have the equation:

x(3x - 4) = 55

Distribute x across the expression:

3x2 - 4x = 55

To solve for x, we need to move all terms to one side of the equation to set it equal to zero:

3x2 - 4x - 55 = 0

This is a quadratic equation that we can solve by factoring, completing the square, or using the quadratic formula. It appears that this equation is not easily factorable; thus, the quadratic formula might be the best approach:

x = ∛{-b ± √{b2 - 4ac}}/2a

In this equation, a = 3, b = -4, and c = -55:

x = ∛{4 ± √{(-4)2 - 4(3)(-55)}}/(2·3)

Simplifying under the square root and solving for x, we get the width of the rectangle, and subsequently, we get the length by substituting x back into 3x - 4.

when robert was born,he weighed 8 pounds. how many ounces did he weigh?

Answers

1 pound= 16oz.

8*16=128

The answer would be 128 ounces
answer.......... 128 ounces

16 ounces in 1 pound soooo........... 16 x 8

hope this helps please give brainliest

A person who is 5.8 feet tall is standing in a pool. the top of the person's head is 1.6 feet above the surface of the water. how deep is the pool? write your answer as a decimal.

Answers

Let h = the depth of the pool (ft)

h feet of the person will be in the pool, and 1.6 feet of the person is above the water. Because the person is 5.8 feet tall, therefore
h + 1.6 = 5.8
h = 5.8 - 1.6 = 4.2 feet

Answer: 4.2 feet

Answer:

The answer is 4.2 feet

Step-by-step explanation:

Four students are playing the same video game. Their scores for the first three level are added together to see if the student has enough points to move on to round 2

Answers

Final answer:

This question is a high school-level mathematics problem involving statistics and data interpretation related to video game scores and soccer game performance.

Explanation:

The question involves analyzing and interpreting different sets of data related to video game scores, hours played, and goals scored in soccer games. This requires an understanding of statistics and mathematical data interpretation techniques. Problems similar to these are often encountered in high school mathematics classes, especially those focusing on statistics and probability.

For example, when dealing with video game scores, a student may need to sumup  numbers, compare totals, or calculate averages. In the case of the hours of video games played, one may need to aggregate data and analyze distributions. With soccer goals per game, the student might have to compute means and assess performance across different groups. Furthermore, the mention of a 'communist model' of grading ties into mathematical concepts of averaging and distribution of data.

These types of problems help students appreciate the practical applications of mathematics in understanding and interpreting real-world scenarios such as video game scoring systems and sports team performance analysis.

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