A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?


I know the equations are likely

X = Peanuts

Y = Cashews

Z = Raisins


X + 2Y + 2Z = 16

2Y = X

X + Y + Z = 10

Answers

Answer 1

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds


Related Questions

78.57142857 round up​

Answers

Answer:

It would be 79 as a whole number.

Step-by-step explanation:

78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.

If it is 5 or greater than. You would round it to 79

If not greater than 5. You round it down to 78 still.

24 boys out of 64 classmates is what percent

Answers

That would be 37.5 percent

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge for the bike helmet before tax?

Answers

Answer:

$20 dollars

Step-by-step explanation:

1.80 / .09 (9% in decimal form)

= 20

is 0.4 greater than or less than 0.127

Answers

0.127 is greater than 0.4 because is more.

is lmn a right triangle

Answers

Answer:true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

help.please answer asap...............

Answers

Answer:

-11 1/3 If I am wrong please forgive me

Step-by-step explanation:

Ok serous question this has nothing to do with my other questions would you guys care if I committed ya know

Answers

Answer:

I don't know you but I care. I am always here to talk. For real I don't have a life. Lol

Step-by-step explanation:

Yes we would care, and please don’t do it. I know life right now is not that great, but don’t do it. Your family is going to be sad, and they are going to be going through a lot of pain. Plus life of amazing and we need to cherish every moment we have left.

Select the two pairs of figures that are similar.

Answers

Answer:

The left one and middle one

Step-by-step explanation:

same angles and length-width ratios

describe the steps needed to solve
2c +5 = C-8

Answers

Answer:

- 13

Step-by-step explanation:

Step 1:

2c + 5 = c - 8     Equation

Step 2:

c + 5 = - 8   Subtract c on both sides

Step 3:

c = - 8 - 5   Subtract 5 on both sides

Answer:

c = - 13

Hope This Helps :)

Answer:

c=-13

Step-by-step explanation:

2c+5=c−8

Step 1: Subtract c from both sides.

2c+5−c=c−8−c

c+5=−8

Step 2: Subtract 5 from both sides.

c+5−5=−8−5

c=−13

hope that helps :)

Which of the following statements is true of the polynomial x2 + 6x3 − 4 + 2x5?
A. The degree of the polynomial is 1.
B. The end behavior of the polynomial is similar to f(x) = –x.
C. The polynomial in standard form is 2x5 + 6x3 + x2 − 4.
D. The polynomial is increasing for all real numbers.

Answers

Answer:

The correct option is;

C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4

Step-by-step explanation:

The given polynomial is x² + 6x³ - 4 + 2·x⁵

Therefore, we have;

The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5

The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x

The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;

2·x⁵ + 6x³ + x² - 4

The polynomial decreases fox x < 0

Degree of polynomial is the highest power written in the equation

thus the correct answer is C for the question

Explanation

The equation is written in the form of lowest power to higher power x²+6x³-4+2[tex]x^{5}[/tex] The correct form is highest to lowest power 2[tex]x^{5}[/tex]+6x³+x²-4

Thus we conclude that the answer to the above question C

To know more about degree of polynomial

https://brainly.com/question/20368118

translations: 1 unit left and 4 units up
F(2,-2), G(3,0), H(4,3)​

Answers

Answer:

F(-1,2), G(2,4), H(3,7)

Step-by-step explanation:

When you move left to right, it changes the x in (x,y)

When you move up and down, it changes the y in (x,y)

So, if it moves 1 unit to the left, the x decreases by 1

And if it goes 4 units up, the y increases by 4

Jupiter is 480 Million Miles Away From Earth write that number in scientific notation ​

Answers

Answer:

4.8 x10^8

Step-by-step explanation:

Write the following equation in slope intercept form.

7x-4y=22

y= x+

Answers

Answer:

y= -7x+22/-4

Step-by-step explanation:

Answer:

y=7/4x-11/2

Step-by-step explanation:

Move the Y and x values to separate sides

-4y=-7x+22

divide whatever it takes to make y alone (dived by -4)

y=7/4x-11/2

The product of a number x minus 5 and three less than twice x

Answers

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

State whether the data described below are discrete or continuous, and explain why.

- The exact heights of different elephants. Choose the correct answer below.

A. The data are continuous because the data can take on any value in an interval.

B. The data are discrete because the data can only take on specific values.

C. The data are continuous because the data can only take on specific values.

D. The data are discrete because the data can take on any value in an interval.

Answers

Answer:

The correct answer:

The data are continuous because the data can take on any value in an interval. (A)

Step-by-step explanation:

There are two categories of data:

Discrete data: These are data that have specific values that they can take on. There are limits to what values can be assigned to such categories. for example, The number of countries in a continent, there can either be 15 countries, 50 countries 30 countries, etc. There is not a possibility of having 40.56 countries on this kind of list. hence it is a discrete dataset.

Continuous data are data that can take on any value within an interval or on a particular scale of measurement. In this example, the height of the elephant in meters can be 1.5m, 2m, 1.06m, etc. There is no limit to the possibility of the height of an elephant on a meter scale.

Which Expression represents the following algebraic statement?

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y.

7(x+5)-(2xy^2)
Or
7(x+5)-(2xy)^2

Answers

Answer:

7(x+5)-(2xy^2)

that's how you would write the equation

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y = (x+5)- 2xy²

What is expression?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y.

sum of x and 5 = (x+5)

product of 7 and the sum of x and 5= 7(x +5)

product of 2, x, and the square of y= 2xy²

So, The product of 7 and the sum of x and 5, minus the product of 2, x, and the square of y = (x+5)- 2xy².

Learn more about expression here:

https://brainly.com/question/24875240

#SPJ2

PLZ HELP, 20 points!!!
22. What is the domain of the graph?

23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!

Answers

Answer:

.

Step-by-step explanation:

Answer:

domain: all real numbers

range: y| y is greater than or equal to 5

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE


Mary had 3 baby lambs and 9 adult lambs. What is the ratio of adult lambs 5 points
to baby lambs? *
3:9
3:1
O
1:3

Answers

Answer: 3:9

Step-by-step explanation:

Because 3 goes first since it’s the smaller number and 9 is last

1:3 because for every 1 baby lamb there are 3 adult lambs

please answer this asap​

Answers

Answer:

i think its D and if im wrong it maybe would 0or should be B

Step-by-step explanation:

i’m pretty the answer is b

i need helpppp


Evaluate (3 + ((2x + 1) + x(x + 2)))
when x = 5

Answers

Answer:

49

Step-by-step explanation:

(3 + (([2 × 5] + 1) + 5(5 + 2))) = 49

A company donates money to a charity every time the baseball team hits a home run. They donate $100 for every home run. Write an equation for the situation,
where y is the total amount of money donated and x is the number of home runs hit.

The equation is y=

Answers

Answer:

y = 100x

Step-by-step explanation:

Answer:

y=100x

Step-by-step explanation:

to find 27x9 I find 27x10 and remove 1 group of 27

Answers

Answer:

yes because 10 groups 27 taking 1 group of 27 is now 9 groups of 27

10*27-27=243 is equal to 9*27=243

PLEASE HELP I WILL GIVE BRAINLIEST!! I need a narrative essay rough draft done by tonight! It is on “Landlady” by Roald Dahl. i attached the story, thank you SO MUCH GUYS! its due tonight!

Answers

Answer:

  In the short story “The Landlady,” Roald Dahl’s use of foreshadowing prepared readers well for the end of the story.  He used hints such as describing the outside of the bed and breakfast, giving details of the entry and the bedroom, and also telling the readers about the living room.

  To begin, Dahl used the outside of the bed and breakfast as a use of foreshadowing.  The sign was described to be distinctive. It was portrayed to be luring the boy inside.  Dahl used the opening of the door as a hint also.  He explained that the woman debouched the door open, which would foreshadow that she was abnormal. The woman also had cheap rent at her bed and breakfast.

Next, Dahl moved onto the entry and bedroom setting to give hints to the events to come.  The bed had a hot water bottle in it.  This was meant to make the lady seem like she was waiting for someone soon, since the bottle was still warm to keep the bed heated.  There was also the guest book that had only two other entries.  One was Chris Muholland and the other was Gregory Temple.  These names sounded familiar to the boy and led to his curiosity of who they were.  When the boy remembered where he saw the names before, which was in the newspaper claiming they were missing, it revealed that the men were in the bed and breakfast before they went missing.  This made the reader believe that something was discerning about the situation.

  Dahl finally summed up the story by conveying an image of the living room.  He described a dog and a parrot first.  It turned out the animals were stuffed, and the lady taxidermies them herself.  At this point in the story, the hints are coming together that not everything is adequate about the place.  Her hands were said to be pale, as if they might be lifeless.  Dahl used this to explain that she might have gotten discoloration in her hands from using chemicals in her “work” that she does.  The tea was finally used as a clue.  The lady gave the boy some tea that tasted of bitter almonds.  The use of this information declared that something was in the tea

Step-by-step explanation:

What is the factored form of 5x-625x^4

Answers

Answer:

5x(-125x+1)

Step-by-step explanation:

im not completely sure but yee

The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C​

Answers

Answer:

The order of the angles of Δ ABC from smallest to biggest is

∠B < ∠C < ∠A B

Step-by-step explanation:

There is a fact about a triangle

The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angle

Let us use this fact to solve our question

In Δ ABC

∵ AB = 10 inches

∵ BC = 14 inches

∵ AC = 8 inches

→ Find the longest and shortest sides

BC is the longest side

AC is the shortest side

∵ BC is opposite to ∠A

∠A is the biggest angle in measure

∵ AC is opposite to ∠B

∠B is the smallest angle in measure

The order of the angles of Δ ABC from smallest to biggest is

   ∠B < ∠C < ∠A

help me please please

Answers

Answer:

7x

3 and 6 are alternate interior angles so they are equal

Step-by-step explanation:

4x - 8 < 32
what is the solution?

Answers

Answer:

x<10

Step-by-step explanation:

add 8 to both sides

4x<40

then divide by 4

x<10

3. Use the following table to determine the rate of change for the interval (1,5). HELP!

a. $17.60 per week
b. $88 per week
c. $0.05 per week
d. $22 per week

Answers

I think it a I don’t think

What is the equation of the vertical line through -8, 5

Answers

Answer:

The answer of the following questions is y=3x-19

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