Write a rational equation that relates the desired percentage to the amount of % acid solution that needs to be added to liter of % acid solution to make a blend that is % acid, where < < . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answers

Answer 1

This question is incomplete

Complete Question

Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answer:

100(0.1 + 0.3A)= (1 + A) P

Step-by-step explanation:

A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,

Hence,

10% of 1 + 30% of A = p%(1 + A)

0.10 + 0.3A = (p/100)(1 + A)

Divide both sides by 1 + A

0.1 + 0.3A/ 1 + A = p/100

Cross Multiply

100(0.1 + 0.3A) = 1 + A(p)

From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%

10% < p< 30%


Related Questions

HELP

How much can the Owen family expect to pay, per year, to raise the child from birth to 18 years of age?

A)$11,378
B)$12,846
C)$13,188
D)$13,458​

Answers

it is A because the amount of money needed to raise a child divided by 18 is 11,378

The Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that,

Cost of raising a child            in 2 years

Birth to 5 years old                $65,250

5 to 18 years old                    $139,560

4 y Public college                  $24,382

4 y private college                 $98,470

Here, total money = 65,250+139,560+24,382+98,470

= $327662

Money to raise in a year = 327662/18

= $18203

Therefore, the Owen family expect to pay, per year, to raise the child from birth to 18 years of age is $18203.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

Solve the inequality of x. 2x + 6 < 18

Answers

The Answer isssssssss  x<6

HELP ILL GIVE brainliest !!

Answers

Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.

Step-by-step explanation:

Answer:

part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group

Step-by-step explanation:

A example when looking trail mix would be:

Part to part: comparing the number of peanuts to the number of raisins

Part to whole: comparing the number of peanuts to the entire bag of trail max

You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t^2 +12t. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball ?

Answers

Step-by-step explanation:

The height that your feet are above the ground is given by the function :

[tex]h(t) = -16t^2 +12t[/tex] ...(1)

We need to find the maximum height your feet will be above the ground.

For maximum height, put dh(t)/dt = 0

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]

Now put t = 0.375 s in equation (1) as follows :

[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]

So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.

1. Dominic earned $23.00 at the local
supermarket moving boxes for 2 hours. If
his pay rate stays the same, how much
would he earn in 6.5 hours?

Answers

Answer:

70.5

Step-by-step explanation:

Find the value of x.

Answers

Answer:

I think the value of x is 61 degrees

Answer:

the answer is 65

Step-by-step explanation:

you add 61 and 54 then subtract from 180 you get 65 as your answer

0.5 (n-4) -3 = 3 - (2n+3)

Answers

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

HELP ASAP I WILL GIVE 25 POINTS AND MARK BRAINLIST!!!!!!

Answers

Answer:

1. Combine like terms.

2. Subtraction.

3. Given

Next question

1. Combine like terms.

2. Addition.

3. Given

Next question

1. Addition

2. Division

3. Given

Next question

1. Distributive property

2. Addition

3. Division

4. Given

I hope "Given" means the final answer.

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

can someone help me understand this ​

Answers

Answer:

The answer for the question is E.

On a busy day, a shop sells a total of 15 desks and chairs for a total amount of $960.The desks sell for $120 each and the chairs sell for $50 each.
(a) Express the information as two equations. Let d equal the number of desks and let c equal the number of chairs.
(b) Solve the equations simultaneously to find how many of each were sold.

Answers

Answer:

- sold 15 desks + chairs

- each desk is $120

- each chair is $50

- total amount is $960

- desk = d

- chairs = c

(a) i/ d + c = 15

ii/ 120d + 50c = 960

(b) d+c = 15 --------- (1)

120d + 50c = 960 --------(2)

from (1) d+c = 15

c = 15-d --------- (3)

substitute (3) into (2)

120d + 50c = 960

120d + 50(15-d) = 960

120d + 750 - 50d = 960

120d - 50d = 960 - 750

70d = 210

d = 210/70

d = 3

substitute d=3 into (3)

c = 15-d

c = 15-3

c = 12

thus, 3 desks and 12 chairs were sold

7. The Majestic company increased the cost of an Astros jersey from $80 to $110. By what percentage was the price of
the Astros jersey increased?

Answers

Answer:

50%

Step-by-step explanation:

The cost = $80

Increased cost = $120

% Increase = (120-80) / 80 * 100

% Increase = 40/80 * 100

% Increase = 0.5 * 100

% Increase = 50%

So, the price of the Astros jersey increased by 50%

Write 1.26% as a
precent and fraction

Answers

Answer:

126%

Step-by-step explanation:

Answer: 126/100 126%

Step-by-step explanation:

In triangle ABC, AB= 10cm, AC=9cm and angle B=60 degrees. Let BC=x cm. Use cosine rule to show that x is a solution of x^2-10x+19=0

Answers

Answer:

Step-by-step explanation:

Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 108 milkshakes?
A.
36
B.
12
C.
4
D.
3

Answers

3 cups of strawberry syrup are needed to make 108 milkshakes.

Find the -intercept and -intercept of the line.

3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?

Answers

Answer: 3 minutes and 12 seconds

Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.

whats the slope intercept form​

Answers

Answer:

y=1+0b

Step-by-step explanation:

Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?

Answers

Answer:

$3360

Step-by-step explanation:

7% of $6000=$420

$420 time 8= $3360

Hope this helped! :)

Answer:

$3,360

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

PLEASE HELP JESUS I DONT UNDERSTAND

Answers

Answer:

22 units

Step-by-step explanation:

The formula for the area of a trapezoid is A = [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is the height of the trapezoid.

In this case, the numbers that will be replacing a and b will be 4 and 7, making the equation look like this: A = [tex]\frac{4+7}{2}h[/tex] .

Now, you have to determine the height of the trapezoid, which in this case is 4 units. The equation will now look like this: A = [tex]\frac{4+7}{2}4[/tex].

You can solve from here like so:

A = [tex]\frac{11}{2}4[/tex]

A = 5.5(4)

A = 22

sorry that took long :3))

I got the measurements like 4, 7, and the other 4 from rotating the shape to have the longer side on the bottom.

Question 1 (15 points)!!!!
Which of the following statements about narratives is true? (15 points)!!!!
a
A narrative describes events in sequence.
b
A narrative has characters and setting but no conflict.
c
A narrative is a fictional account of something that has happened.
d
A narrative must be presented in written form.

Answers

Answer:

A. a narrative describes events in sequence.

A narrative must be in order, like a proper story. It also must be written in past tense.

Which triangles are similar A or b? I need help.

Answers

Answer:

A!

Step-by-step explanation:

which is the same? please help​

Answers

Answer: The answer is D

Step-by-step explanation: BRAINLIEST PLS

Ben rolls a wheel with a diameter of 1 meter through one complete revolution from point M to point P. About how far did Ben roll the wheel?

A) 0.79 meters

B) 2 meters

C) 3.14 meters

D) 6.28 meters​

Answers

Answer:

c

Step-by-step explanation:

i think c but not sure

what is the at least probability of 6

Answers

Answer:

15/36 or 41.667%

Step-by-step explanation:

PLEASE PLEASE HELP ME I REALLY NEED HELP

Answers

Answer:

(a) yes it does

(b) the rate is constant because the rate of change (slope) is the same throughout the function.

(c) The rate, or rate of change, is -1/2.

y1 - y2/x1-x2

4 - 2/3 - 9

2/-6

-1/2

How much will a bag of chips and drink cost you when you have a coupon for $.75 off a total price

Answers

I believe the answer would be 1.43

467 divided by 17 plzz answer

Answers

Answer:

27.47059

Step-by-step explanation:

Just use a calculator :^

One acute angle of a right triangle measures 35°. What is the measure of the other acute angle? ·

Answers

Answer:

55

Step-by-step explanation:

A right triangle always has one angle which is equal to 90 degrees. You have been given the second angle which is 35 degrees hence to get the second acute angle you do:

180 - (90+35)

= 55

Answer:

we have,,

the traingle having one actue angle is 35degree

i.e angle ACB be 35degree, AND

another one angle ABCis 90degree

Also, let angle Bac be x

now,,

x+35+90=180(being the sum of traingle)

or,x=180-125

or,x=55

therefore, the value i.e angle BAC be 55 degree.

Which graph represents the function below? (The first pic is the function, the others are the graph choices given)

Answers

Answer:

The First Graph

Step-by-step explanation:

The -x line is present in both the first and last graph.

The x + 6 is present in the first and second graph.

The slope is increasing before -3

The slope past -3 is decreasing.

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