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

Is 3 a factor of 14t-20?

Yes

No

Answers

Answer:

No

Step-by-step explanation:

I dont really know

No, 3 is not a factor of 14t-20

Which set of side would make a right triangle?
A. 8,10,12
B. 5,12,13
C. 4,5,6
D. 5,10,12

Answers

not c, i think its b
it would be answer b because using the Pythagorean theory (a^2+b^2=c^2), the only true answer would be 5,12,13
hope this helps :)

What is the distance in units,from point j to point k

Answers

Answer: 15.

Step-by-step explanation: You have to use the distance formula which is [tex]\sqrt{(x\\_{2} -x_{1})^{2} + (y_{2} - y_{1} )^{2}[/tex]. [tex]x_{1}[/tex] means the x in the first point, so on and so forth. You just plug in and don't forget to take the square root of the number you get!

Please tell me if its right. Thanks!

HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Length = 6 inches

6 inches it in the picture

if I had 10 cookies and promised my friend to give them 2 how many cookies will i have

Answers

Answer:

8 cookies

Step-by-step explanation:

edit one:the answer was 10 cookies, so please go give the person who said 10 cookies first some thanks/brainliest.

edit two:https://brainly.com/app/profile/31525083 is the user who got it first. Check comment if you are gonna say they didn't.

Answer:

8 cookies

Step-by-step explanation:

Well, we can use simple subtraction to answer this problem. You have 10 cookies, and you give away 2, you need to subtract 10 cookies by 2:

10 - 2 = 8

Therefore, you will have 8 cookies left.

Hope this helps :)

Write the point-slope form of the equation for a line that passes through (6,-1) with a slope of 2.
The value of xı is
The value of y, is
The point-slope form of the equation is

Answers

Answer:

value of x is=6

value of y is= -1

point-slope form= y-(-1)=2(x-6) or y+1=2(x-6)

Step-by-step explanation:

1. On a trip to Oregon, Sabrina bought a small stone in
the shape of a square pyramid as a souvenir. Determine
the volume of the stone. Round to the nearest tenth.
V-bh(h)
2 in.
121.5 in.
1.5 in.​

Answers

Answer:

The answer is "[tex]\bold{1.5\ in^3}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Given:

[tex]l=1.5 \ in\\\\ w=1.5 \ in\\\\h= 2 \ in\\\\[/tex]

The formula for calculating volume:

[tex]\to V=\frac{lwh}{3}[/tex]

        [tex]= \frac{2 \times 1.5 \times 1.5}{3}\\\\=\frac{4.5}{3}\\\\=1.5 \ in^3[/tex]

If the time is 2:12 pm then how many minutes ago did the time turn to noon

Answers

Answer:

132min (mark brainliest?)

Step-by-step explanation:

noon = 12pm

2:12pm - 12pm = 2 hours and 12 min

2 hours *( 60 min) = 120 min

120 min + 12 min = 132 min

Really confused with this one it is related with similar triangles please help

Answers

Answer:

x=20

y=70/3 which is about 23.3

Step-by-step explanation:

Write a proportion of all similar sides

The equation p=8.65h gives the amount p (in dollars) of pay a clerk receives for working h(hours)

Answers

Answer:

the clerk will make $8.65 an hour

Step-by-step explanation:

Answer:

P is the dependent variable, H is the independent variable

Step-by-step explanation:

the perimeter of a square is 7.2 meters how long is each side ?

Answers

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

A sea turtle descends 28 feet from the surface of the ocean and then ascends 5 feet. Then it descends 9 feet and repeats this descent 4 times. How many feet below the surface is the turtle then ?

Answers

Answer: 59 feet

Step-by-step explanation:

First the sea turtle descended 28 feet.

It then ascends 5 feet which means it is now:

= 28 - 5

= 23 feet below surface

It then descends 9 feet and repeats that descent 4 time:

= 9 * 4

= 36 feet below the surface

Total distance below the surface:

= 23 + 36

= 59 feet

Logan took out a $600 loan 2 years ago. He paid back $690. This included the original loan amount and the interest charged to him. What was the annual interest paid Logan paid? Show all work or explain in detail how you got your answer.

Answers

Answer:

$45 dollars a year i think

express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers

Answers

Answer:

x^2 -8x + 5 = (x-4)^2 - 11

Step-by-step explanation:

Here we want to write the given expression in the form

x^2-8x + 5 can be written as follows;

(x-4)^2 = x^2 - 8x + 16

All we have to do is to subtract 11

Thus, we have it that;

x^2-8x + 5 = (x-4)^2 - 11

Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys.


Explain why Kym is incorrect.

Answers

Answer:

Kym is wrong because instead of 25% it would be 50 percent

Step-by-step explanation:

Answer:

Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.

You might wanna change up some words so the teacher doesn't know your cheating lol

Which expression equals the fraction of the square that is shaded dark blue?

Answers

If this is one of the option 3/4 + 1/2 it’s right

Answer:

this is the answer

Step-by-step explanation: pretty easy tbh

Three times the sum of a number and nine is 12. Find the number.

Answers

Answer:

7

Step-by-step explanation:

3x+9=12

3x=21

x=7

Answer:

[tex] - 5[/tex]

Step-by-step explanation:

[tex]3(x + 9) = 12[/tex]

Write an equation for it:
Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals to 13

Answers

Answer:

2x+3 times 5 - x +8=13

Step-by-step explanation:

off ion know

Solve for p.

98 = 4p + 38

Answers

Answer:

P=15

Step-by-step explanation:

Answer:

P=15

Step-by-step explanation:

first:

98-38=60

4p=60

60÷4=15

P=15

hope that helped :)

What is the domain of the function represented by the graph?
4
1
2-+
X
-2
TUL
NELL
A. X54
OB. all real numbers
C.
X20
OD
OsXs4

Answers

Answer:

Option C x>0

GOOD LUCK FOR THE FUTURE ! :)

All real numbers (In interval form (-∞,∞) )

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). This set is the values that the function shoots out after we plug an x value in.

here, we have,

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

Learn more about Domain at:

brainly.com/question/28135761

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can anyone help with this?

Answers

The answer is B. because 0.09 would the youngest, 30% transfers to 0.3 which would be the second youngest, 1.98 would be the third youngest, and the square root of 9 is 3, which would be the oldest.

what 2 numbers multiply together to equal 15, and add together to equal 8?

Answers

Answer:

7.5 x 2

4 + 4

Step-by-step explanation:

7.5 x 2 = 15

4 + 4 = 8

hope i helped you!

The breadth of the rectangular firls is 20m less than its length.. Find its dimensions if perimeter is 160 m

Answers

Answer: length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Step-by-step explanation:

The perimeter of a rectangle is given as  2(l+b)

let the length be represented as x

such that the breadth = x-20m

so our expression for the perimeter of the rectangular firls becomes

Perimeter = 2l+ 2b

160= 2x + 2 ( x-20)

160= 2x+ 2x-40

160+40 =4x

200= 4x

x= 200/4

x= 50

So the length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Answer:

Length =60m

Breadth= 20m

Step-by-step explanation:

Breadth of the rectangular firls = 20m

Perimeter = 160m

Length = X

Perimeter of a rectangle = 2(L +B)

Where L= Length

           B = Breadth

160 = 2( 20 + X)

160 = 40 +20X

160- 40 =20X

120= 20X

20X = 120

X = 120/20

X = 60

The dimensions are:

Length =60m

Breadth= 20m

PLEASE HELP ME
Find the total surface area of the figure shown.

Answers

Answer:

I think it's C but I might be

Step-by-step explanation:

An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?

Answers

Answer:

360 miles

Step-by-step explanation:

Step 1: 120 miles*3 hours

Step 2: 360 miles far.

What is the value of q in the solution to this system of equations?
2m-5q=8
4m+2q=64
A.4
B.6
C.9
D.14

Answers

Answer:

4

Step-by-step explanation:

M,q 14,4

The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4 thus option (A) is correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

2m-5q=8

4m+2q=64

Multiply by 2 into the equation 2m - 5q = 8

4m - 10q = 16

Subtract 4m - 10q = 16 by 4m+2q=64

-10 - 2q = 16 - 64

-12q = -48

q = 4

Hence"The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4".

For more about the equation,

brainly.com/question/10413253

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If using the method of completing the square to solve the quadratic equation
22 + 15x – 11 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

22+15x−11=0

Step 1: Simplify both sides of the equation.

22+15x−11=0

22+15x+−11=0

(15x)+(22+−11)=0(Combine Like Terms)

15x+11=0

15x+11=0

Step 2: Subtract 11 from both sides.

15x+11−11=0−11

15x=−11

Step 3: Divide both sides by 15.

15x

15

=

−11

15

x=

−11

15

Answer:

x=

−11

15

f(x) = 3x + 8
fl-1) = ?

Answers

3(-1)+8=5
The answer is x=5

slope = 1, goes through the point (0,6)

Answers

Y=1x+6 or y = x+6
Y=Mx+b
M=1
6=1(0) +b
b= 6

9) using opposite operations, solve for m

4m+8=12

Answers

Answer: 1

Step-by-step explanation:

4m + 8 = 12

=> 4m = 4

=> m = 1

Answer:

Subtract 8 from both sides now your left with 4m and 4. Divide 4 from both sides to get 1. 1 is your answer

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