9514 1404 393
Answer:
36 liters of 20%18 liters of 35%54 liters of 55%Step-by-step explanation:
Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...
a + b + c = 108 . . . . . total number of liters
.20a +.35b +.55c = 0.40·108 . . . . . liters of acid
0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution
__
Solving these three equations by your favorite method gives ...
(a, b, c) = (36, 18, 54)
The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.
_____
Comment on alternate approach
Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...
(3(.55) +1(.35))/4 = 0.50 = 50%
So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.
Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.
__
* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...
x(50%) +(1 -x)(20%) = 40%
x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x
x = (40% -20%)/(50% -20%)
The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.
What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 4x - y = 12
Answer: y = 4x + 5
Step-by-step explanation:
Find the slope of the second line.
4x - y = 12
-y = -4x + 12
y = 4x - 12
slope = 4
Therefore, the slope of the second line must also be 4.
Use point-slope form to write the equation.
y + 3 = 4(x + 2)
y = 4x + 5
Need help with w(x+1)
Answer:
Sure thing w(x+1)= wx+2
Step-by-step explanation: You use distributive property. Hope this Helps!
How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen million, four hundred ninety-seven thousand, four hundred three in standard form and expanded form using multiplication. And I don’t know how to do that
Step-by-step explanation:
Standard form is of course 17,497,403.
Expanded form is:
10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3
passes through (-6,-1) and is parallel to y=-2/3x+1
You have $300 to spend on school clothes shirts cost $15 and pants $20
Answer
19 pants and 6 shirts
Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.
Answer:
[tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]
Vertex: (1, -9)
If a varies jointly with b and c and a = 2.53 when b=5.5 and c = 0.92. Find the constant of variation.
Answer:
0.9
Step-by-step explanation:
0.9
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent?
Answer: Its B i think
Step-by-step explanation:
abcd is a kite x = ?
The measure of angle x using property of Kite is 90 degree.
In geometry, a kite is a quadrilateral with two pairs of equal-length adjacent sides.
As, The diagonals of a kite are perpendicular to each other.
This means that they intersect at a right angle.
From the figure BD and AC are diagonals of Kite.
and, the diagonals of a kite are perpendicular to each other.
So, the measure of angle x is 90 degree.
Learn more about Kite here:
https://brainly.com/question/28157521
#SPJ4
Penolope earned $50 dollars in may and she earned $60 in June
what is the percent increase or decrease in penolope´s monthly earnings
Answer:
120
Step-by-step explanation:
3х2 x 2х3
Please HELP!!!!
Answer: 36
Step-by-step explanation: to make it easier, it is 6x6.
Answer:
36
Step-by-step explanation:
3х2 x 2х3
6 x 6
36
solve for x geometry
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
Answer:
X=19
Step-by-step explanation:
A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.
Find the answer to the question below
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
0.336?
Step-by-step explanation:
Help 8th grade please
Answer:
B.
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.
Answer:
C
Step-by-step explanation:
Supplementary - adds up to 180
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50
Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93
Step-by-step explanation:
E(x)= 10
It is a continuous random variable, so calculating for ✓, we have
10=E(x)1/✓
✓=1/10=0.1
1)P(x>60)=1-F(60)=e^0.1x60=0.0025
2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63
3) for 0.1, x= -1/0.1 ln0.1= 23
4) for 0.9, x= -1/0.1 ln 0.9= 1.053
5) for 0.5, x -1/0.1 ln 0.5= 6.3
What is equivalent to 6/9
Answer:
Answer: 2/3
Step-by-step explanation:
6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.
You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.
Which expression is equivalent to |8| + |-7|?
O -15
O -1
O 1
O 15
Please someone do I need the answer thx :)
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8
Match each equation to its solution.
Answer:
i)x=6
ii) x=-7
iii) x=-5
Step-by-step explanation:
First take the no. to the other sides. Then divide, then u will get x
Maddie spent about $12 on 3.8 pounds of one type of fruit. Which types of fruit could Maddie have bought? Check all that apply.
apples- 1.89
cherries- 5.28
grapes- 2.78
pears- 1.41
strawberries- 3.12
Answer: strawberries, grapes, apples, and pears
Step-by-step explanation:
Strawberries:
3.12*3.8≈11.86 which is less than 12.
Grapes, pears, and apples are less than strawberries, so those are also possibilities.
Answer:
Step-by-step explanation:
strawberries and grape
NEED HELP ASAP
SOLVE FOR H
Answer: h = 3V/(pi*r^2)
Step-by-step explanation:
V = (1/3)pi*(r^2)*h
h = 3V/(pi*r^2)
2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?
Answer:
5
Step-by-step explanation:
20 divided by 3.50 = 5.71428571429
how do i solve for x
Answer:division if you just use the derivative
Step-by-step explanation:
Find the slope of a line through the given points.
(3-7), (5,5)
Answer:
11/2
Step-by-step explanation:
Answer: m = 6
Step-by-step explanation: Start by writing down the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
m = 5 - (-7) / 5 - 3
m = 12 / 2
m = 6
So the slope of our line is 6.
convert the given fractional number to percents 2/7
Answer: 28.571429%
Step-by-step explanation:
2 divided by 7 is 0.2857142...
In order to make this a percentage you'll need to move the decimal two places to the right.
Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? (1 point)
The graph shifts 7 units left.
The graph shifts 5 units left.
The graph shifts 2 units up.
The graph shifts 3 units up.
Answer:
7 units leftjJakaKakoao
Answer:I thought it was 5 units up
Step-by-step explanation:
Someone help
Solve the equation for b. Use lowercase letters and no spaces when typing in the equation. a+b/3= C type your answer...
.What is the slope of the line defined by the
equation 3 x-2 y= 10? PLEASE I WILL GIVE BRAINLEST IF CORRECT
Step-by-step explanation:
Multiply 3x-6
Rearrange y=10/3x-6
slope=10/3 x
Solve the inequality.
5 (4 + x) < 3 (2 + x)
help please!
what's the equation?
Answer:
y=4/5x-2
Step-by-step explanation:
find the first four terms of the sequence:
an= 54+ 3(n-1) n= 1, 2, 3...
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~54+3(1-1):[/tex]
[tex]\bold{Subtract~1~from~1~to~get~0.}[/tex][tex]\bold{Multiply~3~and~0~to~get~0.}[/tex][tex]\bold{Add~54~and~0~to~get~54.}[/tex][tex]2.)~54+3(2-1):[/tex]
[tex]\bold{Subtract~1~from~2~to~get~1.}[/tex][tex]\bold{Multiply~3~and~1~to~get~3.}[/tex][tex]\bold{Add~54~and~3~to~get~57.}[/tex][tex]3.)~54+3(3-1):[/tex]
[tex]\bold{Subtract~1~from~3~to~get~2.}[/tex][tex]\bold{Multiply~3~and~2~to~get~6.}[/tex][tex]\bold{Add~54~and~6~to~get~60.}[/tex][tex]4.)~54+3(4-1):[/tex]
[tex]\bold{Subtract~1~from~4~to~get~3.}[/tex][tex]\bold{Multiply~3~and~3~to~get~9.}[/tex][tex]\bold{Add~54~and~9~to~get~63.}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]\bold{Term~1=\boxed{54}}[/tex][tex]\bold{Term~2=\boxed{57}}[/tex][tex]\bold{Term~3=\boxed{60}}[/tex][tex]\bold{Term~4=\boxed{63}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]