Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem

Answers

Answer 1

(12(0.08)+x(0.2))/(12+x)=0.16 perform indicated multiplication on left side

(0.96+0.2x)/(12+x)=0.16 multiply both sides by (12+x)

0.96+0.2x=1.92+0.16x subtract 0.16x from both sides

0.96+0.04x=1.92 subtract 0.96 from both sides

0.04x=0.96 divide both sides by 0.04

x=24

So 24 liters of 20% acid solution is in the new mixture.

Related Questions

Paul Steve robin and Ryan all play different instruments. Their instruments are guitar, bass

Answers

Yeah did u even finish the question or what?

I WILL GIVE BRAINLIEST please answer correctly

Answers

it would be 7 out of 10 bars multiplied by 8 out of ten bars for the other one it would be a full 10 bars the 7 out of ten bars multiplied by 8 out of ten bars

Mr. and Mrs. McClurrie are debating on whether or not to remove a tall tree in their front yard. Mr. McClurrie is concerned that the tree could fall during a storm and land on their home. Mrs. McClurrie disagrees. She thinks the tree poses no danger to their home and wants to keep the tree because of the wonderful shade it provides. They decide to estimate the height of the tree using special right triangles.

They stood 25 feet from the base of the tree to create a 30° angle from the ground to the top of the tree.

If their home is 20 feet from the base of the tree, could the McClurrie's wait a few more years before cutting down the tree or does it pose a risk now?

Answers

Check the picture.

Let A be the point where Mr. and Mrs. McClurrie are standing, let B be the base of the tree and C the top of the tree. Let H be the point representing the house.

ABC is a right triangle, with m(BAC)=30°.

so by special triangles, if the length of the hypotenuse is 2x, the length of BC is x, since it is the side opposite to the 30° angle.

by the pythagorean theorem :

[tex](AC)^{2}= (AB)^{2}+(BC)^{2} [/tex]
[tex](2x)^{2}= (25)^{2}+(x)^{2} [/tex]
[tex]4x^{2}= (25)^{2}+x^{2}[/tex]
[tex]3x^{2}= (25)^{2}[/tex]
[tex]x= \sqrt{ \frac{(25)^{2} }{3}}= \frac{25}{ \sqrt{3} }= \frac{25 \sqrt{3} }{3} [/tex]
[tex]\frac{25 \sqrt{3} }{3}=25* \frac{ \sqrt{3} }{3}=25*0.577= 14.43[/tex] (feet)

so even if the tree falls, it falls more than 5 feet away from the house.

Answer: they can wait a few more years.

Find the first six terms of the sequence.
a1 = -8, an = 5 • an-1

8, -40, -200, -1000, -5000, -25,000

-8, -40, -35, -30, -25, -20

0, 5, -40, -35, -30, -25

-40, -200, -1000, -5000, -25,000, -125,000
Plz help me

Answers

a(n) = a1 * r^(n-1)
a1 = first term = -8
r = common ratio = 5

a(2) = -8 * 5^(2-1)
a(2) = -8 * 5^1
a(2) = -40

a(3) = -8 * 5^(3 - 1)
a(3) = -8 * 5^2
a(3) = -8 * 25
a(3) = -200

a(4) = -8 * 5^(4 - 1)
a(4) = -8 * 5^3
a(4) = -8 * 125
a(4) = -1000

a(5) = -8 * 5^(5 - 1)
a(5) = -8 * 5^4
a(5) = -8 * 625
a(5) = -5000

a(6) = -8 * 5^(6-1)
a(6) = -8 * 5^5
a(6) = -8 * 3125
a(6) = -25,000

the first 6 terms are : -8, -40, -200, -1000, -5000, -25,000

Answer:

the answer is B

Step-by-step explanation:

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)? y = x – 6 y = x + 6 y = x + 26 y = x + 10

Answers

The slope of the given line y = x – 2 is 1. Therefore, the slope of a line perpendicular to y = x – 2 is -1/1, or just -1.

In point-slope form, the equation of the new line is

y-10 = -1(x-[-12]), or y-1 = -(x+12) or y-1 = -x - 12, or
y = -x - 11.

Answer:

y =-4/3 x – 6

Step-by-step explanation:

The four people at Carla's birthday will get one-quarter (one fourth) of the cake each. Carla puts 16 candies on the cake so that each person gets the same number on their piece of cake. How many candies will each person get on their piece of cake?

Question 4 options:

4

8

12

16

Answers

You would do 16 divided by 4 to get your answer. The answer is 4.

I agree. The answer is definitely four!

3x+2y+4z=12 X+y+2z=6 (X=0,y=4,z=1) Determine if the given 2 lines intersect at the given point. Explain your reasoning. -2x-4y+z=8 4x+2y=-5 (x=-2,y=0,z=3) same as up above

Answers

Equation 1: 3x + 2y + 4z = 12
Equation 2: x + y + 2z = 6

Substituting x = 0, y = 4 and z = 1 into equation 1 and equation 2 and if the answer equals to 12 and 6 then the two lines intersect at the given point

Equation 1 ⇒ 3(0) + 2(4) + 4(1) = 0 + 8 + 4 =12
Equation 2 ⇒ 0 + 4 + 2(1) = 4 + 2 = 6

We have the answer of 12 and 6, hence the two lines intersect at the given point
-------------------------------------------------------------------------------------------------------------

Equation 1: -2x - 4y + z = 8
Equation 2: 4x + 2y = -5

Given point: x = -2, y = 0, and z = 3

Equation 1 ⇒ -2(-2) - 4(0) + 3 = 4 - 0 +3 = 7
Equation 2 ⇒ 4(-2) + 2(0) = -8 + 0 = -8

The answers are not 8 and -5 hence the lines don't intersect at given point

Mr. Brown owned a house a house, which he rented for $60 a month. The house was assessed for $9000. In 1975 the rate of taxation was increased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?

Answers

We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month

Jaime has 6 cups of milk. Each batch of cookies she is making will require 3/4 of a cup of milk. How many batches of cookies can Jaime make with milk she has?

Answers

6 / (3/4) =
6 * 4/3 =
24/3 =
8 batches of cookies can be made with 6 cups of milk

Answer:

Step-by-step explanation:

1. A sum of money doubles in 20 years on simple interest. It will get triple at the same
rate in:
a. 40 years
b. 50 years
c. 30 years
d. 60 years
e. 80 years

Answers

First find the interest rate of the sum of money doubles in 20 years
2p=p (1+rt)
2=1+rt. T=20 years
2=1+20r
Solve for r to get the simple interest rate
2-1=20r
20r=1
R=1÷20
R=0.05

Now find how long will get triple at the same rate
3p=p (1+rt)
3=1+rt. R=0.05
3=1+0.05t
Solve for t
3-1=0.05t
0.05t=2
T=2÷0.05
T=40 years. .....answer

103,727,495 in word form and expanded form

Answers

One hundred and three million, seven hundred and twenty seven thousand four hundred and ninety five

Word form: one hundred three million, seven hundred twenty-seven thousand, four hundred ninety-five

Expanded form: 100,000,000+3,000,000+700,000+20,000+7,000+400+90+5

HOPE I HELPED YOU!

Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materials and manufacturing the chocolates is $6,000 a month. He sells the chocolates individually and in boxes of a dozen. Jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. He is happy to break even for the first year. After a year, Jeremy prices his chocolates at $3 apiece. He offers a discount of 10% on boxes of chocolate to promote the sale of boxes. How many boxes of chocolate would he have to sell to recover the cost of running the business this year per month? (Assume that he sells no individual chocolates.)
A. 188 boxes
B. 208 boxes
C. 226 boxes
D. 232 boxes

Answers

1500 per month rent + 6000 per month manufacturing and raw materials....so he pays a total of (6000 + 1500) = 7500 per month

after a year, hr prices his chocolates at $ 3 a piece....there are 12 pieces in each box....so each box cost (3 * 12) = $ 36......but he offers a discount of 10%....so ur actually paying 90%....0.9(36) = 32.40 per box

7500 = 32.40x
7500 / 32.40 = x
231.48 = x....so he would have to sell 232 boxes to break even <=

the lines shown below are perpendicular. if the green line has a slope of -2/3, what is the slope of the red line?

Answers

the slope is opposite so, 3/2

Answer:other guy was correct 3/2

Step-by-step explanation:

Can someone help me with these two questions about Logarithms? If you can, please don't just tell me the answer. I really want to understand how to do these so please add an explanation. Please and thank you. ^^

My phone wouldn't let me send the photos so here are the questions:

1. The loudness, L, of a sound in decibels is given by L=10logR, where R is the sound's relative intensity. if the intensity of a certain sound is tripled, by how many decibels does the sound increase?

2. An earthquake rated at 3.5 on the Richter scale is felt by many people and an earthquake rated at 4.5 may cause local damage. The Richter scale magnitude reading, m, is given by m=logx, where x represents the amplitude of the seismic wave causing ground motion. How many times greater is the amplitude of an earthquake that measures 4.5 than one that measures 3.5?

Answers

1.
plug in numbers so use R=1500 and 3R=1500(3)
so you get 36.53-31.76=about 4.77
2.
so put put 4.5 in the formula and 3.5 in the formula and divide them
4.5=logx
10^4.5=x
then 3.5=logx
10^3.5=x
(10^4.5)/(10^3.5)
= 10

The record for the boston marathon's weelchair division is 1 hour, 18 minutes, and 27 seconds.The boston Marathon is 26.2 miles long.What's the average speed of the record winner of the weelchair division? At this rate about how long would it take this competitor to complete a 30-mile race?

Answers

10.4 because if it's 1 hour 18 minutes and 27 seconds then it's 10.4 because it's miles are 26.2miles

Hi, Lesliamine! :)

1 hour= 60 minutes

60+18
=78 mins and 27 secs.
or 78.45 minutes.

To find the average speed per mile, divide the time by distance.
78.45/26.2
=2.99427481
or 2 minutes and 59.6564886 secs.

It takes 2.99427481 minutes to complete a mile.

To find how long it would take to finish 30 miles, multiply the time per mile by 30 miles.

2.99427481*30
=89.8282443 minutes
or 89 minutes and 49.694658 secs
or an hour and 29 minutes and 49.694658 secs.

Hope this helps.
-Benjamin

What can be concluded from observing a 45-degree angle translated across the y-axis three times ?

Answers

Just reflecting a figure does not change it's size

Could 3.2, 10.7, and 5.5 be the side lengths of a triangle?

Answers

no because the 2 shorter sides has to be more than the longer side

No, for any triangle with sides a,b, and c, a+b>c

Here 3.2+5.5=8.7

And 8.7<10.7, so this could not be a triangle.

HELP PLEASE ASAP!!!!

What are the 3 methods for solving systems of equations?

If a system has no solution, how does it look on a graph?

Answers

THE SOLUTIONS OF A SYSTEM OF EQUATIONS

A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.

A system of two linear equations in two unknowns might look like

This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.

Subtract (3 + 2i) from (–9 – 8i).

Answers

[tex]-9-8i-(3+2i)=-9-8i-3-2i=-12-10i[/tex]

[tex](-9-8i)-(3+2i)=-9-8i-3-2i=-9-3-8i-2i=-12-10i[/tex]. Hope it help!

At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the beach have blue towels

Answers

the anwser is 53%....

To find the percentage of the people with blue towels, we must complete this equation:

✯1 - (0.29 + 0.18) = 0.53
✯ 0.53 = 53%
✯Thus your answer: 53% of people on the beach have blue towels.

An ellipse has a center at the origin, a vertex along the major axis at (20, 0), and a focus at (16, 0). The equation of the ellipse is in the form below. What is the value of b in the equation? (Enter a positive number.)

Answers

I just did this, the answer is 12 :) hope that helps!

Answer: 12

Step-by-step explanation:

Which shows the expressions in the order they would appear on a number line from least to greatest? 4to the power of 3, square root of 40, square root of 13, square root of 7, 14 over 9 14 over 9, square root of 7, square root of 13, square root of 40, 4 to the power of 3 4 ot the power of 3, square root of 7, square root of 13, 14 over 9, square root of 40 square root of 40, 14 over 9, square root of 13, square root of 7, 4 to the power of 3

Answers

4^3 = 64
sqrt 40 = 6.32
sqrt 13 = 3.61
14/9 = 1.56
sqrt 7 = 2.66

least to greatest : 14/9 , sqrt 7, sqrt 13, sqrt 40, 4^3

14/9 , sqrt 7, sqrt 13, sqrt 40, 4^3

The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle.

Answers

Solution:
Let the width of the rectsngle (b) be x
and the length of the rectangle (l) =x+4
Area of the rectangle (A)=?
Perimeter of the rectangle (P)=?
Now,
P= 2 (l+b)
= 2 (x+4+x)
= 2 (2x+4)
= 4x+8
And,
A= l×b
= x(x+4)
= x^2+4x
According to the question,
A=5P-4
or, x^2+4x =5 (4x+8)-4
or, x^2 +4x =20x+40-4
or, x^2 = 20x-4x+36
or, x^2 = 16x+36
or, x^2-16x-36 = 0
or, x^2-(18-2)x-36 = 0
or, x^2-18x+2x-36 = 0
or, x (x-18)+2 (x-18) = 0
or, (x-18) (x+2) = 0

Either, Or,
x-18 = 0 x+2 = 0
so, x = 18 so, x = -2

Taking the value of x = 18 ( Because the length is always positive)
Length = x+4 = 18+4 = 22 cm
Width = x = 18 cm

How many whole numbers between 99 and 999 contain exactly one 0?

Answers

the correct answer is 162

There are 900 numbers that contain one 0.

(08.01)Which of the following questions is a statistical question?

a How many professional sport leagues are there?
b Where do the professional sport leagues play?
c How many hours of professional training took place over the weekend?
d How many hours do you spend each week training for a sports league?

Answers

The answer would be d. because it is the only one that asks a question that has an individual answer.

PLEASE HELP!!
Factor completely: x2 + 6x + 8

Answers

8(x + 1) Is the answer

Hey!

Let's simplify this...

x² + 6x + 8 --------> Now, we need to find two numbers that multiply to 8 and also add up to 6
factors of 8
1
2 ---->
4 ----> These two multiply to 8 and add up to 6
8

Let's solve this now!

x² + 6x + 8
(x + 4)(x + 2) ----> If you want to check your answer just FOIL them
Your x-intercepts will be -4 and -2

Hope this helps! :D

Please vote me for Brainliest if there is a second answer!

Help with 69 and 70 plzzz

Answers

3665 is not divisible by nine, as 3665/9 is 407.2222222.

5 boxes + 9 boxes = 14 boxes. 193 CDs + 108 CDs = 301 CDs. 301/14 = 21.5. This means that they do not divide evenly among the boxes.

TL;DR:

No

No

69.) No it's not because the rule for 9 is that you need to add the digits together which would equal to 20

70.) Melissa cant but Jennifer can because, you can divide 108 by 9 evenly but not 193 and 5

Marisa painted 1/2 of her bedroom in 3/4 of an hour.At this rate how long will it take her to paint the entire room. Please help as fast as possible.

Answers

3/4(2)=6/4=1 1/2

It will take Marisa 1 1/2 hours to paint the entire room. Hope this helps!

she did 1/2 , so she has 1/2 more to do

it took her 3/4 so multiply that by 2

3/4 x 2 = 1 1/2 hours total

What is the 1st term when −5z2 + 7z4 + 11z − 8z3 is arranged in descending order

Answers

descending order...largest to smallest
the largest one is the one with the biggest exponent
so the first term is : 7z^4

Answer:

7z^4

Step-by-step explanation:

Look at the exponent power. The largest exponent goes first, the second largest goes second (etc.). The number/variable with no exponent will always go last.

Evaluate the following expression (a + b)^0

Answers

Answer:

So, [tex](a + b)^0=1[/tex]

Step-by-step explanation:

[tex](a + b)^0[/tex]

To evaluete this expression we apply exponential property

[tex]x^0=1[/tex]

IF any expression has exponent 0 then the value is 1 always

for example, [tex]3^0 =1[/tex]

[tex]5^0=1[/tex]

[tex](x+2)^0=1[/tex] because exponent is 0

So, [tex](a + b)^0=1[/tex]

Answer:

Step-by-step explanation:

i just made a B in this class

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