Answers
Answer:
a(x) = 20 + 0.60xdomain [0, 50]; range [20, 50]maybeStep-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
__
b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
__
c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
Related Questions
solve for x need help asap
Answers
Answer:
the answer is 23
Step-by-step explanation:
3x=69 ( vertically opposite angle)
x=69/3
x=23
Hope this helps. :)
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
Answers
Answer:
21
Step-by-step explanation:
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
Which mathematician wrote "The Elements"?
Answers
Answer:
Euclid wrote "The Elements''
Step-by-step explanation:
Answer:
Euclid
Step-by-step explanation:
"The Elements" is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
6. A supersonic jet flew 2.000 km to the east in 0.5 hours. Moving at a
constant velocity, it passed an airplane that was traveling at 903 kilometers
per hour. What was the jet's velocity?
Answers
Answer:
4000 km/h to the east
Step-by-step explanation:
The supersonic jet's velocity was ...
2000 km/(0.5 h) = 4000 km/h . . . to the east
the day before the day before yesterday is three days after Saturday. what day is it today?
Answers
Answer:
Friday
Step-by-step explanation:
We can use logic/equations to solve this problem.
Let's create the equation:
the day before the day before yesterday = saturday + 3 days
We can simplify the right side down.
3 days after Saturday is Tuesday.
So:
the day before the day before yesterday = Tuesday
The day before the day before yesterday is the same as 3 days before today. So:
3 days before today = Tuesday
This means that today is 3 days after Tuesday. 3 days after Tuesday is Friday, so today is a Friday.
Hope this helped!
Which of the following equations have exactly one solution?
Choose all answers that apply:
A. −5x+12=−12x−12
B. −5x+12=5x+12
C. −5x+12=5x−5
D. −5x+12=−5x−12
Answers
Answer:
A, B, & C
Step-by-step explanation:
A: -5x +12 = -12x - 12
+12x +12x
7x + 12 = -12
-12 -12
7x = -24 [Divide both sides by 7 to get x]
x = -24/7
B: −5x + 12 = 5x + 12
-5x -5x
-10x + 12 = 12
-12 -12
-10x = 0 [Divide both sides by -10 to get x]
x = 0
C: −5x + 12 = 5x − 5
-5x -5x
-10x + 12 = -5
-12 -12
-10x = -17 [Divide both sides by -10 to get x]
x = 17 / 10
D: −5x + 12 = −5x − 12
+5x +5x
12 ≠ -12 [The statement is false, so it isn't the correct answer]
SOMEONE ANSWER THESE PLEASE!!
1.) why isn’t 9.72 a whole number?
2.) why isn’t -25 a whole number?
Answers
1). Because whole number doesn’t allow decimal numbers.
2). Because whole number doesn’t allow negative numbers. It starts with 0, 1, 2, 3....
use the associative and communicative properties to make this calculation easier. justify the steps.
6. (17×50)
Answers
Answer:
Step-by-step explanation:
6*(17*50) = 6 * (50 * 17) {Commutative property}
= (6 * 50) * 17 {Associative property}
= 300 * 17
= 5100
y +2=5
What is the answer?
Answers
Answer:
y = 3
Step-by-step explanation:
[tex]y + 2 = 5 \\ y = 5 - 2 \\ y = 3[/tex]
Answer:
y = 3
Step-by-step explanation:
Subtract 2 from each side, so it now looks like this: y = 3angela took 104 selfies last week. 1/4 of the selfies taken include her BFF Brianna. How many selfies include Brianna?
Answers
Answer:
I don't really know because I am dumb sorry
Answer:
26
Step-by-step explanation:
A damaged carpet which cost $180 when new, is sold for $100. What is the percentage loss?
Answers
44,(4) %
Step-by-step explanation:$180 ......... 100%
$80 ............. x %
x = 80×100/180 = 8000/180 = 44,(4) %
the percentage loss 44,(4) %
It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of the train? State what x represents, state the equation, and then state the answer.
Answers
Answer:
x represents the trip distance.
x = 300 miles
Rate of bus = 50 mph
Rate of train = 75 mph
Step-by-step explanation:
Let the trip distance be x miles.
[tex] \because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph[/tex]
im2 finding angles using algebra
find: m<BEC
Answers
Answer:
m<bec = 60
Step-by-step explanation:
3x +2x +x = 180 (combine like terms)
6x = 180 (divide 180 by 6 to get x alone on one side of the equation)
x = 30
BUT you're not done yet because it asked for m<bec which is 2x so you have to multiply 30(2) which is 60
If the lines A and B are parallel then find the value of x
Answers
Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
9 + (–9) = 0 what is the property
Answers
Answer:
I think it's "inverse property of addition"
hope this helps :3
Tina and her friends want to go bowling. Family Bowling Alley charges $1 for shoes and $4 dollars per game. Knight Owl Bowling charges $2 for shoes and $3.75 per game. How many games will it take for the cost of bowling at each alley be the same?
Answers
Answer:
Number of games = 4
Step-by-step explanation:
Let the number of games = x
Family Bowling Alley charges $1 for shoes and $4 dollars per game
If x games is played
Cost= 1+4(x)
Knight Owl Bowling charges $2 for shoes and $3.75 per game.
If x games is played
Cost = 2 + 3.75(x)
When the both cost are equal
1+4(x)= 2+3.75(x)
4x-3.75x = 2-1
0.25x = 1
X= 1/0.25
X= 4
Number of games = 4
Can someone please help?
Answers
Answer:
odd number
Step-by-step explanation:
as the pattern shows the product of them are odd numbers
Answer:
Hey there!
The product of any two odd numbers is odd.
Hope this helps :)
6 + ( - 3 ) is ___ units from 6, in the ___ direction.
Answers
Answer:
6+(-3) is 3 units from 6 in the right direction
Step-by-step explanation:
6 + ( - 3 ) is 3 units from 6, in the right direction.
What are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given:
6 + ( - 3 ) is ___ units from 6, in the ___ direction.
as we know that 6 +(-3) = +3 units
So, -3 is 3 units away but the direction depend on the sign between the numbers.
Then, according to the sign the direction is on right side.
Hence, 6 + ( - 3 ) is 3 units from 6, in the right direction.
Learn more about integers here:
https://brainly.com/question/1768254
#SPJ2
Monique had $14.33 in her walllet. Her mother gave her $5.50 and she found a quarter on the floor. She owes her friend $20. Does Monique have enough money to pay her friend back? If so how much does she have left over? If not how much money does she need?
Answers
Answer:
yes she has enough money to pay her friend back
Step-by-step explanation:
14.33
5.50
+ 0.25
$20.08 this what she has and she will have 8 cents left over after she pays her friend
PLEASE HELP What is the slope of the line y=−4y
Answers
Answer:
The slope is 0
Step-by-step explanation:
-25x=300 what does x equal
Answers
Answer:
x = -12
Step-by-step explanation:
inverse operation
-25x = 300
divide by -25 on both sides
x = -12
Answer:
x = -12
Step-by-step explanation:
All you have to do is divide 300 by -25.
I hope this helps, have a good night! :)
Solve it: 3^x-1=(√3) Plz solve fast
Answers
Answer:
x = 3/2
Step-by-step explanation:
3^(x-1)=(√3)
Rewriting sqrt(3) as 3 ^ 1/2
3^(x-1)= 3 ^ (1/2)
The bases are the same so the exponents are the same
x-1 = 1/2
Add 1 to each side
x-1+1 = 1/2 +1
x = 3/2
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answers
Answer:
D
Step-by-step explanation:
just took it got it right
Answer:
its D
Step-by-step explanation:
please help
use the numbers 5 and 3 to provide an example of the Commutative Property of Addition.
Answers
Answer:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
Here we can take 5 as a and 3 as b
Therefore, 5+3=3+5=8
Hope it helps
3.- El maestro Juanito se durmió el domingo a las 9:34 pm y se despertó a las 6:35 am para
estar puntal a sus clases. ¿Cuántas horas durmió?
Answers
Answer:
durmio 9 horas
Step-by-step explanation:
si cuentas a como va el reloj (de 1 a 12 y de am a pm) y empiesas desde Las 6 se va hasta que llegue a 12, empieza a ser 1 otravez.
Solve y – 7 > 3 + 2y A) y -10 D) y > -10
Answers
Answer:
D. [tex]-y > 10[/tex]
Step-by-step explanation:
First, move the variable (+ 2y) to the left-hand side and change its sign.
[tex]y - 2y - 7 > 3[/tex]
Then, move the constant (+ 7) to the right-hand side and change its sign.
[tex]y - 2y > 3 + 7[/tex]
Then, collect the like terms (y - 2y)
[tex]-y > 3 + 7[/tex]
Finally, add the numbers (3 + 7). That will get you your final answer.
[tex]-y > 10[/tex]
I can't seem to find the answers or understand how this works.
Answers
Answer:
m = 5
n = 12
Step-by-step explanation:
Opposite sides in a parallelogram are equal
so:
m+1 = 6
m = 6-1
m = 5
n is opposite to 12 so n = 12
Which point is the center of the circle?
point w
O point X
Opoint Y
O point Z
Answers
Answer:
The center of the circle is point X.
Step-by-step explanation:
It is because it is at the center of the circle.
Hope it helps you:)
please help me find the x
Answers
Answer:
x=2
bd/ba=be/bc
6/6+4=x+1/x+1+x
6/10=x+1/2x+1
12x+6=10x+10
12X-10X=10-6
2X=4
X=4÷2=2
Answer:
x = 2
Step-by-step explanation:
Basic proportionality theorem,
[tex]\frac{AB}{BD}=\frac{CB}{BE}\\[/tex]
AB = AD + DB = 4+6 = 10
CB = CE + EB = x + x +1 = 2x +1
[tex]\frac{10}{6}=\frac{2x+1}{x+1}[/tex]
Cross multiply
10*(x+1) = 6*(2x+ 1)
10*x + 10*x = 6*2x + 6*1
10x + 10 = 12x + 6
Subtract 10x from both sides
10x + 10 - 10x = 12x + 6 - 10x
10 = 2x + 6
Subtract 6 form both sides
10 - 6 = 2x + 6 - 6
4 = 2x
Divide both sides by 2
4/2 = 2x/2
2 = x
x = 2
plz help you only have to recreate them in another way plz