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

3(x-6)
it says too expand and simplify it plz help

Answers

Answer:

3x-18

Step-by-step explanation:

To expand this you must use the distributive property to distribute the 3. Using this property you can multiply the x and -6 by 3. So the expanded equation would first look like x*3 + -6*3. Then simplify to get 3x-18.

Answer:

3x-18 expanded

Step-by-step explanation:

x-6 simplified

use the distributive property to expand the expression

3*x= 3x

3*-6=-18

to simplify,

find the GCF and solve

gcf= 3

3x/3=1x or just x

-18/3=-6

hope this helps

please mark brainliest

If the tree cast a shadow of 40 feet, how tall is the tree? A. 30 feet. B.35 ft. C.40 ft. D.45 ft.

Answers

Answer:

A)30feet

Step-by-step explanation:

Answer:

A. 30 feet

Step-by-step explanation:

This is a right triangle

Using Pythagorean theorem we can find the height:

x² + 40² = 50²x² = 2500 - 1600x² = 900x = √900x = 30 ft

Option A is correct

A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. They usually sell 3times as many pairs of wemons shoes as men's.How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?

Answers

Answer:

Number of men's shoes = x = 9 shoes

Number of women's shoes = y = 27 shoes

Step-by-step explanation:

A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. .How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?

Number of men's shoes = x

Number of women's shoes = y

The system of equations is given as:

$25 × x + $65 × y = $1980

25x + 36y = $1980..... Equation 1

They usually sell 3times as many pairs of wemons shoes as men's

y = 3x

25x + 65y = $1980..... Equation 1

25x + 65(3x) = 1980

25x + 195x = 1980

220x = 1980

x = 1980/220

x = 9 shoes

y = 3x

y = 3(9)

y = 27 shoes

Number of men's shoes = x = 9 shoes

Number of women's shoes = y = 27 shoes

Pls help! It has to be due by 5pm.

Answers

Answer:

11 and 3/4 in further.

Answer:

I think he has to jump 11 3/4 inches further

Step-by-step explanation:

pls mark me as brainliest!

What is the value of x?
Enter your answer in the box.

Answers

Answer:

7

Step-by-step explanation:

IM HONESTLY DESPERATE THIRD TIME DOING THIS WILL BRAINLEIST- what are some similarities and differences of incenter and circumcenter of triangles?

Answers

Answer:

Incenter is the point for a triangle where the center of the circle that will be drawn to be tangent to all three sides of the triangle, the circle will be inside (inscribed within ) the triangle. The incenter is the point where all three angle bisectors of the triangle intersect. The incenter is the point that is equidistant from all three sides of the triangle. The perpendicular distance to each side will be a radius of the incenter circle

Circumcenter is the point for a triangle where the center of the circle that will be drawn that is tangent to all three vertices of the triangle. The circle will be outside (circumscribed about) the triangle. The circumcenter is the point where all three perpendicular bisectors of the sides of the triangle intersect. The circumcenter is equidistant to all three vertices of the triangle.The radii of the circle will touch each of the three vertices of the circle .

On laisse tomber une balle d'une hauteur de 1m.
A chaque rebond, elle rebondit aux 3/4 de la hauteur d'où elle est tombée.
Quelle hauteur, en cm, la balle atteint-elle au cinquième rebond ? Donner une valeur approchée à l'unité près.

Answers

.......................

can someone help me !

Answers

Answer:

45

Step-by-step explanation:

180 - 75 = 105

105 - 15 = 90

45 x 45 = 90

Answer:

75+2x+15=180

2x=90. x=45

please help i have a c

Answers

Answer: the last option

Step-by-step explanation:

the top right is I, the top left is II, the bottom left is III, and the bottom right is IV

Answer:

D.  R is in the 4 quadrant

What’s the measurement of the angle

Answers

Answer:

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

not completely sure tho

Kurt has 26 plant on his porch his neighbor gives him p more plants. Now he has 31 plants in all a. Write an equation to represent the situation

Answers

Answer:

26 + 5 = 31

Step-by-step explanation:

Please pick me as brainliest

Answer:

31-26=p

Step-by-step explanation:

if you need the p value, its 5

to find the p value, subtract 26 from 31

hope this helps

please mark brainliest



In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is

Answers

Answer:

B = 34 C = 108 F = 94

Step-by-step explanation:

Answer:

B = 34   C = 108   F = 72

Step-by-step explanation:

It's not my answer look in the comments for the other answer :P

Find the equation of the line y=___x+___

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

...............................

Y=3x+3/1 should be right

When you solve y = x/4 - 6 for x, which equation is the result?

Answers

Final Answer: [tex]x = 4(y + 6)[/tex]

Steps/Reasons/Explanation:

Question: When you solve [tex]y = \frac{x}{4} - 6[/tex] for x, which equation is the result?

Step 1: Add [tex]6[/tex] to both sides.

[tex]y + 6 = \frac{x}{4}[/tex]

Step 2: Multiply both sides by [tex]4[/tex].

[tex](y + 6)[/tex] × [tex]4 = x[/tex]

Step 3: Regroup terms.

[tex]4(y + 6) = x[/tex]

Step 4: Switch sides.

[tex]x = 4(y + 6)[/tex]

~I hope I helped you :)~

Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.

Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.

X -4, -3,-2,-1,0
y-

Answers

the rest of the table is Y: 2, -1,-2,-1,2 then graph it using these points (-4,2) (-3,-1) (-2,-2) (-1,-1) (0,2)
Oh yeah lol yeah I’m pretty

what do you do with points

Answers

Answer: i think you need them to ask questions

Step-by-step explanation: whenever you ask a question it shows your questions and how many you need, so you have to answer questions to get some.

Is this correct? I’m too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

help me please im dumb

Answers

Answer:

I believe the answer is true.

Step-by-step explanation:

Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3

Answer:

its true.

because BEDMAS.

^

|

B( bracket )

A club will create t-shirts for a fundraiser. The club members need to compare the cost of creating the t-shirts between
two companies. Company A charges $30 for setup, plus $5 per t-shirt. Company B charges $15 for setup, plus $7 per
t-shirt. The situation is shown on the graph below. Which option best interprets the results from the graph?
A) For orders less than or equal to 7 shirts,
the cost of using Company A is less.
B) For orders less than or equal to 8 shirts,
the cost of using Company A is less.
C) For orders less than or equal to 7 shirts,
the cost of using Company B is less.
D) For orders less than or equal to 8 shirts,
the cost of using Company B is less.

Answers

It’s D). You’re welcome :)

The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Given :  last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7  

Colin plays cricket again on Sunday. He gets 29 runs.

To find : a) Work out Colin's mean score.

b) What is his new mean score

Solution:

last 10 run scores Colin got in cricket

1, 16, 5, 25, 26, 32, 5, 7, 1, 7

Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7  = 125

Total Innings = 10

Mean Score = 125/10  = 12.5

Colin plays cricket again on Sunday. He gets 29 runs.

=> New Total Score   = 125 + 29 = 154

New Total Innings   = 10 + 1 = 11

New Mean Score    = 154/11  = 14

Mean Score = 12.5

New Mean Score  = 14

Hope this helps! ;)

Answer:

The following are the last 10 run scores Colin got in cricket:

32, 2, 0, 25, 34, 24, 6, 23, 17, 34

a) Work out Colin's mean score.

b) Colin plays cricket again on Sunday. He gets 23 runs.

What is his new mean score?

Give your answers as decimals.

Step-by-step explanation:

H
SSS
SAS
ASA
AAS
HL
cannot determine

Answers

Answer:

last answer

Step-by-step explanation:

Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita u see to prepare the bread

Answers

Answer:

if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour

Step-by-step explanation:

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.​

Answers

Answer:

⇒  Draw a line segment AB=5.5cm

⇒  Take A as a center and draw an angle of 45

o

.

⇒  Cut off AD=5cm

⇒  Take D as a center with radius 4.5cm and draw an arc.

⇒  Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.

⇒  Join BC and CD.

∴  ABCD is a required quadrilateral.

Step-by-step explanation:

hope this helps!

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.

Answers

Answer:

the answer is B I think sorry if I'm wrong

We want to check if function A has a greater initial value than function B. We will see that Emma is incorrect, the correct option is the third one.

Linear equations:

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept (we can also call the y-intercept as the initial value).

For function A we can see that the initial value is y = -2

While for function B we need to find it, but by looking at the table, we can see that for each increase of 2 units in the x-variable we have an increase of one unit on the y-variable.

Then we can see that for x = 0, we would have y = 1.

Meaning that the initial value of function B is y = 1, which is greater than the one for function A.

Then Emma is incorrect, the correct option is the third one.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

Please does anyone know the correct answer choice for this question!!!????

Answers

Answer:

(3:-2) bc u must substitute -2 in for y in the 2th equation

Answer:(3,-2) so the first point

What is the image point of (-8, 7) after a translation right 5 units and up 5 units?

Answers

Answer:

(-3,12)

Step-by-step explanation:

Solve the inequality.
n - 21 > 16

Answers

Answer: N>37 or (37,♾)
Why:cause I’m pretty sure it should be that

Answer:

n>37

Move all all terms not containing n to the side of the inequality.

find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years ​

Answers

Answer:

A= ₹3,112.72

CI = ₹1,112.72

Step-by-step explanation:

Here P = ₹ 12000

Since, interest is compounded half yearly.

Therefore, R = 6/2 = 3%

n = 3/2* 2 = 3 half years

[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]

[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]

[tex] \therefore A= 12000\times 1.092727 [/tex]

[tex] \therefore A= 13,112.724 [/tex]

[tex] \therefore A=Rs. \:13,112.72 [/tex]

CI = A - P

CI = 13,112.72 - 12000

CI = ₹1,112.72

One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

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