PLEASE HELP
1.How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?

2.A chemist needs to mix a 12% acid solution with a 32% acid solution to
obtain an 8‐liters mixture consisting of 20% acid. How many liters of each of
the acid solutions must be used?

Answers

Answer 1

9514 1404 393

Answer:

1012%: 4.8 L; 32%: 3.2 L

Step-by-step explanation:

For mixture problems, I like to use a single variable to represent the quantity of the greatest contributor (greatest cost or greatest concentration). Let that variable be x.

1. In this problem, the amount of the greatest contributor is already fixed, so we'll use x for the amount of walnuts. The cost of the mix is ...

  0.80x + 1.25(8) = 1.00(x +8)

  2 = 0.2x . . . . . . . . . . . . . . . . . subtract 0.8x+8, simplify

  10 = x . . . . . . . . . divide by 0.2

10 pounds of walnuts must be used.

__

2. The amount of acid in the mix is ...

  12%(8 -x) +32%(x) = 20%(8)

  20%(x) = 8%(8) . . . . . . . . . . . . subtract 12%(8)

  x = 8(8)/20 = 3.2 . . . . . . . . . . divide by 20%

  8-x = 4.8

3.2 liters of 32% acid must be mixed with 4.8 liters of 12% acid

_____

Comment on mixture problems

The general solution for mixture problems that have a greater contributor (G), a lesser contributor (L), and a mix value (M) is ...

  g/l = (M -L)/(G -M) . . . . . . ratio of quantities of G and L

In the first problem, this becomes ...

  8/l = (1.00 -.80)/(1.25 -1.00) = .2/.25 = 4/5  ⇒  l = 8(5/4) = 10

In the second problem, this becomes ...

  g/l = (20-12)/(32-20) = 8/12 = 2/3  ⇒  g = (2/5)(8) = 3.2; l = (3/5)(8) = 4.8

In this case, we recognize that the ratio of 2 parts to 3 parts means that the greater contributor is 2 of 5 total parts.


Related Questions

answer this! i’ll give brainliest

Answers

Answer:

-0.6, -1/4, 0.3, 1/2

Step-by-step explanation:

Give me brainliest.

Answer:

-0.6, -1/4, 0.3, 1/2

Step-by-step explanation:

High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?

Answers

Answer:

18.5 in approx

Step-by-step explanation:

Given data

aspect ratio of 16: 9

L= 16in

W= 9 in

We want to find the diagonal of the TV

applying Pythagoras theorem

d^2= l^2+w^2

d^2= 16^2+ 9^2

d^2=256+81

d^2= 337

d= √337

d= 18.35 in

Hence the tv is 18.5 in approx

Statements Reasons
Given: Circle X with radius r and circle
Y with radius s
Prove: Circle X is similar to circle Y.
translate X to Y
circle X - circle Y
dilate circle X by sir
Circle with center X
has radius r
circle with center Y
has radius s
Statements
Reasons
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

Answer:1. Circle with center X had radius r ; Given

Circle with center Y had radius Y has radius S ; Given

Translate X to Y ; Translation is a similarity transformation

Dilate circle X by s/r ; Dilation is a similarity transformation

Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y

Step-by-step explanation:

Answer:

Step-by-step explanation:

:)

Can u help me with Circles and Composite Figures?​

Answers

Answer:

What type 9f composite figure?

Step-by-step explanation:

Pls send an attachment

Answer:

please can you bring the images of the circles and Composite Figures you want us to help you out.

Step-by-step explanation:

There is no attachment so please how can your question be answered.

Write an equation in slope-intercept form of the line that passes through the points (- 2, - 2) and (5, 12)

The equation is y=

Answers

Answer:

y= 2 x + 2 i think

Step-by-step explanation:

A conjecture is an educated guess
based on known information. Given
that Ray BA and Ray BC are opposite
rays, what conjecture can you make
about the angles?

Answers

Answer:

the angle abc is 180 degrees

Step-by-step explanation:

the angle about 80 rays of it

question. 2. 8 is what percent of 5?​

Answers

Answer:

56

Step-by-step explanation:

Solution for 2.8 is what percent of 5:

2.8:5*100 =

(2.8*100):5 =

280:5 = 56

Answer: 160%

Step-by-step explanation:

What is the y-intercept, b, of the additive relationship represented by this table?

Enter your answer as an integer in the box.

b =
x y
1 4
3 6

Answers

Answer:

3

Step-by-step explanation:

First step: Find the slope, Using the Formula y2 - y1 / x2 - x1 =  

6-4=2  3-1=2 then u divde the y/x   2/2=1 So the slope is 1.

Step 2: Use the Slope- Intercept formula, Y=mx+b so 4 = 1(1)+b so 4 = 1 + b

Step 3: subtract 1 on both sides so 4-1=3 1-1=0  so 3 is the Y-Intercept.

Mary has 20 biscuits in a tin there are 11 plain biscuits 7chocolate biscuits 2 currant biscuits sue takes at random 2 biscuits from the tin work out the probability that the 2 biscuits were not the same type?

Answers

I’m gonna save my life for my Christmas card I have a gift for my birthday present for my Christmas present pots for my Christmas bell I bought it and it’s a little gem for Christmas I bought a Christmas bell I have bought the Christmas for the solarizion and king kitty kitty cat kitty hello hello I have to get it to me when you DUA can you get me some pictures please I love it

PLEASE HELP ASAP!!
Please could I have the answers or step by step I don’t mind just PLEASEE help asap!!

Answers

Ok first you need to get a common denominator of 3 and 5 the smallest one would be 15 so then you rewrite both but remember if you do something to the bottom u have to do it to the top so you multiplied 3by 5 to get 15 to get your bottom then you have to times 5by 1 to get 5. So 5/15,same process for 3/5




5/15+ 9/15=9+5=14 so 14/15 (you keep the bottom the same) also it doesn’t need to be simplified because nothing can go into 14and 15 evenly





Same process for subtracting just subtract in the end so...

30/35-14/35= 16/35 also can’t be simplified evenly
In the end your answers are

1.14/15
2.16/35

Pls help pls pls than you

Answers

Answer:

b

Step-by-step explanation:

8*5=40

40*1/3=40/3

please help me
!!!!!!!!!!!!!

Answers

Answer:

Hey y = 16

sorry can't find x and z

19 3/7 - 12 6/7

Plz show how u got your answer

Answers

Answer:

16 4/7

Step-by-step explanation:

First, you cant subtract 3/7 from 6/7 so take 1 from 19, which turns it to 18. And add that one to 3/7 to get 10/7, or just add 7 to your numerator. So now you have 18 10/7 - 12 6/7. so subtract 18 - 12 to get 6, and the subtract 10/7 - 6/7 to get 4/7. You dont actually have to subtract the denominator just the numerators, because the denominatos are the same so you leave them just the way they are. I hope this helps :)

20 divided by c write an algebraic expression for the word expression ​

Answers

Step-by-step explanation:

The algebraic expression is

20

----

c

or

20/c

Find the measure of the exterior angle.

Answers

Answer: 108 degrees

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two remote interior angles. (Remote referring to the farthest angles from the exterior angle) 2a = (a+10) + 44. Combine like terms.

2a = a+ 54. Subtract “a” from both sides.

a= 54

You can check for correctness by plugging in 54 for a. 2(54) = (54+ 10) + 44. 108= 108.

(Remember, the exterior angle should equal the sum of the two remote interior angles)

Find the area of this composite figure.

Answers

Answer: ≈ 551.71 ft²

All work is shown in the picture.

Answer:

551,7

see in the picture, this composite figure is made up of a rectangle and 2 halves of a circle

=> the area of this composite figure = the area of a rectangle + the area of a circle

+) the area of the rectangle = 15.25 = 375

+) the area of the circle = (15/2)².pi = 56,25pi

=> the area of this figure = 375 + 56,25pi = 551,7

Can someone help me with this please
I’ll mark as brainliest

Answers

The answer is C......

5) Find the value of x

Answers

Answer:

Step-by-step explanation:

Answer:

x = 12

if the angles are vertical, they are congruent

Tom received 55 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 10 dollars left over, how much did he spent on the baseball gear ?

Answers

Answer:

$45

Step-by-step explanation:

Given that :

Amount collected = $55

Amount left after purchasing sporting gear = $10

The cost of sorting gear:

Amount collected - amount left after purchase

$55 - $10 = $45

Work out m and c for the line:
y= 2x + 5

Answers

Y = mx + c
m = 2
c = 5

(07.02)

What is the value of x in the equation 3(2x + 8) = 0? (4 points)

−8

8

4

−4

Answers

Answer:

your answer is D-4

Step-by-step explanation:

3(2x+8)=0

Step 1: Simplify both sides of the equation.

3(2x+8)=0

(3)(2x)+(3)(8)=0(Distribute)

6x+24=0

Step 2: Subtract 24 from both sides.

6x+24−24=0−24

6x=−24

Step 3: Divide both sides by 6.

6x

6

=

−24

6

x=−4

Hope this helped.

Help please? :) I need some help !!!!!!!!!

Answers

Answer:

i gotchu step sis u need help with them laundry's

Step-by-step explanation:

Answer:

Answer:

answer is 8

Step-by-step explanation:

put the equations equal to each other

then simplify

it is bcz of a angle type of parallel lines

corresponding angle

Step-by-step explanation:

Each TTF site bought a new rope bridge for 4,500. TTF will make monthly payments of $350 until the bill is paid. Write an equation for the unpaid balance B after m monthly payments

Answers

Answer: 4500 - 350m

Step-by-step explanation:

From the question, we are informed that each TTF site bought a new rope bridge for 4,500 and that TTF will make monthly payments of $350 until the bill is paid.

The equation for the unpaid balance B after m monthly payments will be:

= 4500 - 350m

where me = number of months

For example, if the number of months used is 4 months, the unique balance will be:

= 4500 - 350m

= 4500 - 350(4)

= 4500 - 1200

= 3300

A room contains 3 males and 3 females express the number of males to females as a ratio in its simplest form and please help

Answers

Answer:

1 : 1

Step-by-step explanation:

Number of males = 3

Number of females = 3

Ratio of number of males to females = 3 : 3

                                                             = 1 : 1

Hope it helps :)

Please mark my answer as the brainliest

Answer:

Answer vary:

3:3

Step-by-step explanation:

honestly in my opinion that’s the answer.

all you need is to understand what a ratio is, so all your doing is figuring out how many males to females are their.

meaning of ratio : the quantities relation between two amounts showing the number of times on value contains or is contained within the other.

Use factoring to write an expression that is equivalent to 28w - 40.

Answers

Answer:

4(7w+10)

Step-by-step explanation:

Answer:

4(7w+10)

Step-by-step explanation:

what is the answer to this question​

Answers

Answer:

it would be c. 5 1/4

Step-by-step explanation:

The correct answer would be C

Care este cel mai mic număr dintre 95.999,96.959,99.595 și 99.995 la care cifra unităților de mii este 5

Answers

Răspuns:

95.999

Explicație pas cu pas:

Care este cel mai mic număr între 95.999; 96.959; 99.595 și 99.995, unde numărul de mii este 5

95.999 = Nouăzeci și cinci de mii nouă sute nouăzeci și nouă

96.959 = Nouăzeci și șase de mii nouă sute cincizeci și nouă

99595 = Nouăzeci și nouă de mii cinci sute nouăzeci și cinci

99995 = Nouăzeci și nouă de mii, Nouă sute nouăzeci și cinci.

Folosind cunoștințele despre linia numerică:

95.999 <96.959 <99.595 <99.995

How many solutions does this system have?
3
y = x-5
-3x+4y=-20

Answers

Answer:

x=0 and y=-5

Step-by-step explanation:

hope this helps!

Help plz I will give brainliest that’s what they say right

Answers

Answer: A

Step-by-step explanation:

(f+g)x

4x - 9 +  12x +7

4x +12x - 9 +7

16x  - 2

answer - (f+g)x = 16x -2

Chris is 6 feet tall. To find the height of a tree, he measures his shadow and the tree's
shadow. The measurements of the shadows respectively are 8 feet and 28 feet. Find the
height, h, of the tree

Answers

Answer:

click the the photo to see better

Step-by-step explanation:

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