A 7% acid solution will be mixed with a 15% acid solution. 20 L of a 12% acid solution needs to be made.

Identify the two variables in the problem by completing the following statements: * Let r represent: Let y represent:​

Answers

Answer 1

Answer:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

r =7.5 L

y = 12.5 L

Step-by-step explanation:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

.07r + .15 y = (r+y) .12

r+y = 20

y = 20-r

.07r + .15 (20-r) = (20) .12

0.07r+0.15(20-r)=2.4

.07r+ 3 - .15r = 2.4

-.08r = 2.4-3

-.08r = -.6

Divide by-.08

r =7.5

y = 20-7.5

y = 12.5


Related Questions

2. A dolphin leaps 5 feet in the air at the same time an orca whale dives 12 feet below the water. How far apart are the whale and the dolphin?​

Answers

They are 17 feet apart.
Hope this helps
17 feet, hope u can answ

a babay weighs 8 & 1/4 pounds at birth two weeks later she weighs 8 & 7/8 how much weight did the baby gain

Answers

Answer:

⅝ pounds

Step-by-step explanation:

Weight at birth = 8¼ pounds

Weight after two weeks = 8⅞ pounds

[tex]Weight \: gain \\ = Weight \: after \: two \: weeks - Weight \: at \: birth \\ = 8 \frac{7}{8} \: pounds - 8 \frac{1}{4} \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{1}{4}) \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{2}{8}) \: pounds \\ = ( \frac{7}{8} \: - \frac{2}{8}) \: pounds \\ = \frac{5}{8} \: pounds[/tex]

If 6 pounds of fruit is 96 cents how much is one pound

Answers

Answer:

16 cents per pound

Step-by-step explanation:

Take the cost and divide by the number of pounds

96 cents / 6 lbs

16 cents per pound

Hot-dog buns come in packages of 10. Wieners come in
packages of 12. Barry would like to buy the smallest
number of hot-dog buns and wieners so that he will have
exactly 1 wiener per bun. How many packages of hot-dog
buns and wieners must he buy?
A 6 packages of buns, 5 packages of wieners
B 5 packages of buns, 5 packages of wieners
C 8 packages of buns, 7 packages of wieners
05 packages of buns, 4 packages of wieners

Answers

Answer:

A 6 Packages of buns and 5 packages of wieners.

Step-by-step explanation:

Because if you multiply 6x10 you get 60 and if you multiply 5x12 you get 60 exactly 1 wieners per bun

find the sum of all multiples of 9 between 0 and 200​

Answers

Answer:

I thick the answer is 2277



5√6 multiple 5√6 is equal


(a) 5√36

(b) 5√6×0

(c) 5√6

(d) 5√12






step by step
for brainlist.







solve :-​

Answers

[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]

a×a=a^2

[tex]\\ \sf\longmapsto (5\sqrt{6})^2[/tex]

[tex]\\ \sf\longmapsto 25\times 6[/tex]

[tex]\\ \sf\longmapsto 150[/tex]

But,

[tex]\\ \sf\longmapsto \sqrt{36}=6[/tex]

So

[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]

[tex]\\ \sf\longmapsto 5\sqrt{6\times 6}[/tex]

[tex]\\ \sf\longmapsto 5\sqrt{36}\checkmark[/tex]

If you need value then It is 150 but for your question its option a

Your boss asked you to prepare a company party for 20 employees with a budget of Rs. 50, 000.00. You have a choice of ordering a dinner at Rs. 3, 000.00 (Package 01) from “X-Hut Restaurant” per person or a dinner at Rs. 2,500.00 (Package 02) per person from the same place (Delivery charges also included in the price of the meal). i. How many numbers (From package 01 & 02) can you order for the party by using up the budget? ii. How many numbers (From package 01 & 02) can you order for the party if the budget increases to Rs. 55, 000.00?​

Answers

Step-by-step explanation:

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

Solve for
x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

[tex]\displaystyle x \approx 30.8[/tex]

Step-by-step explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]

Use a calculator. Hence:

[tex]\displaystyle x \approx 30.8[/tex]

30 is the answer get me

I) Find the volume in terms of pie

ii) curved surface area in terms of pie

iii) capacity in litres (correct to nearest litre)

Answers

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

Sam is shopping for clothes. There's a 9% sales tax where he lives. Select the expression that gives the price of clothes after including the sales tax, where c is the original cost of the clothes.


1c + 0.9c

Incorrect Response
1.09c + 0.09c

Correct Answer
1.09c

Answers

Answer:

1.09c

Step-by-step explanation:

The clothes cost c before tax.

The tax is 9% of the price of the clothes, or 9% of c.

To find a percent of a number, change the percent to a decimal and multiply by the number.

9% as a decimal is 0.09

9% of c = 9% * c = 0.09c

The amount of tax is 0.09c.

Now we add the amount of tax to the original price, c.

c + 0.09c = 1.09c

Answer: 1.09c

The perimeter of a picture frame is
24 inches. If the width of the picture
frame is 5 inches, what is the length of
the picture frame?

Answers

Answer:

7 in

Step-by-step explanation:

perimeter = 2length + 2width

Input the given info:

24 = 2length + 2(5)

24 = 2L + 10

14 = 2L

14/2 = L

l = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends.

Answers

Answer:

The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

In which n is the sample size of the survey.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends.

This means that [tex]\pi = 0.72[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

In which n is the sample size of the survey.

What is the circumference of a circle with a diameter of 9 cm?

Answers

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

(100 points) Select the correct answer.

Danny's 7 friends contributed an equal amount of money to buy him a birthday present. The present cost $84. How much money did each friend contribute?

A. 12

B. 36

C. 48

D. 84

Answers

7 friend -> 84 dollars
1 friend -> ?

84/7 = answer

Answer = 12

A) 12
Cost of present=84Total friends=7

Contribution per head

84/712

Option A

Amanda has 1 3/4yds of red ribbon and 7/8yds of green
ribbon. What is the total amount of ribbon that
Amanda has? (write answer as a fraction)

Answers

Answer:

21/8 yds or 2 5/8 yds

Step-by-step explanation:

First turn 1 3/4 yards into an improper fraction so you can add it to 7/8 yards.

1 3/4 as an improper fraction is 7/4 yds

7/4 yds = 14/8 yds

14/8 yds + 7/8 yds = 21/8 yds

So the total amount of ribbon Amanda has is 21/8  yds or 2 5/8 yds

what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square​

Answers

Answer:

Hello,

Answer 6

Step-by-step explanation:

[tex]\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\[/tex]

The smallest number to be susbtracted is 6

use the spinner to find the probability

Answers

Answer:

P(multiple of 5) = 0.1667

Step-by-step explanation:

    The multiples of 5 on the spinner are 5 and 10. This means out of 12 numbers, only 2 multiples of 5. Therefore, there is a 2/12 chance to get a multiple of 5.

[tex]\frac{2}{12}=\frac{1}{6}=0.1667[/tex]

Therefore, P(multiple of 5) = 0.1667.

8. Subtract the polynomials: (3x2 + 5x – 8) – (2x2 - 4x + 3)

please give steps!!

Answers

[tex]\\ \sf\longmapsto 3x^2+5x-8-(2x^2-4x+3)[/tex]

[tex]\\ \sf\longmapsto 3x^2+5x-8-2x^2+4x-3[/tex]

[tex]\\ \sf\longmapsto 3x^2-2x^2+5x+4x-8-3[/tex]

[tex]\\ \sf\longmapsto x^2+9x-11[/tex]

Answer:

(3×2+5x-8)-(2×2-4x-3) = (6+5x-8)-(4-4x-3)

= 6+5x-8-4+4x+3

= -3+9x

determine the slope and the y intercept of the line 63=-9y

Answers

Answer:

-7

Step-by-step explanation:

63 divided by -9 = y

63 divided by -9 = -7

Check answers :

-9 x -7 = a

a= 63

11) Five must be the solution to 2x + 3 = 13 because 2(5) + 3 = 13.

Answers

Answer:

Yes, your right!

look at the image to see

Answers

Answer:

surface area = perimeter of base x slant height all of it divided by 2 and then add area of base

pb = 4(6)=24 x 9.5 = 228 /2 = 114 + 36 = 150

hope that answers your question :)

1. Write a survey question for which you would expect to collect numerical
data.
2. Write a survey question for which you would expect to collect categorical
data.

Answers

Answer:

How many siblings do you have?

I hope this helps you out :)

The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?

x l y
-1 l 3
1 l -7

A. y = -5x + 2
B. y = -5x - 2
C. y = 2x + 5
D. y = 2x - 5

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

(-1,3) (1,-7)

Slope (m) = (-7-3)/(1+1) = -10/2 = -5

(-1,3)

y-y = m(x-x) = y-3 = -5(x - -1) = y-3= -5(x+1) =

y-3 = 5x-5

y = 5x - 5 + 3

y = 5x - 2

Which numbers are 9 units from −5 on this number line?

Drag and drop all of the numbers that are 9 units from −5 to their correct position on the number line.

-14,-5 -4 4 5 9

Answers

Answer:

-14 and 4

Step-by-step explanation:

To find the values subtract 9 from -5, as well as add 9 to -5

-5-9= -14

-5+9= 4

Find the smallest number from which 3 is to be subtracted so that the difference is exactly divisible 18,24,36

Answers

Answer:

72

Step-by-step explanation:

look at the prime factors of each number.

18 = 2*3^2

24 = 2^3*3

36 = 2^2*3^2

The most factors of 2 in any of these numbers is 3: 2^3

The most factors of 3 in any of these numbers is 2: 3^2

2^3*3^2 is 8*9 or 72.

72 is the lowest number exactly divisible by 18, 24, and 36.

factorise completely 4x^(2 )(x + 1) - 6x (x+1)

Answers

Answer:

[tex] {4x}^{2} (x + 1) - 6x(x + 1) \\ = (x + 1)(4 {x}^{2} - 6 x ) \\ = (x + 1)(2x)(2x - 3)[/tex]

explanation:

first choose the common factor by observation, it is (x + 1):

factorise it out:

= (x + 1)(4x² - 6x)

by observation in (4x² - 6x), common factor is 2x.

Factorise 2x out:

= (x + 1)[2x(2x - 3)]

Answer:

(4x2-6x) (x+1)

now common factor is (x+1) ,so,(4x2-6x) (x+1)

|x| = - |x| What can I write

Answers

This statement is true only if both sides equal 0. Hope my answer helped u :)

helppfind the value of x and y ​

Answers

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

Please answer this question

Answers

The answer is C. 4.1¯6


Question
Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the average
number of toys assembled per hour, per person?

Answers

3,200 per hour. This might be wrong sorry if it is !
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