Step-by-step explanation:
eggs used : 50-12= 38 eggs
[tex] \frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch[/tex]
ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5 pounds of salt has been dissolved. A brine mixture with a concentrationof 0.5 pounds of salt per gallon of water is pumped into tank A at the rate of 4 gallons per minute.The well-mixed solution is then pumped from tank A to tank B at the rate of 6 gallons per minute.The solution from tank B is also pumped through another pipe into tank A at the rate of 2 gallonsper minute, and the solution from tank B is also pumped out of the system at the rate of 4 gallons perminute. Find the differential equations with initial conditions for the amounts,x(t)andy(t), of saltin tanks A and B, respectively, at time t.
Answer:
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
x(0)=20,y(0)=5
Step-by-step explanation:
We are given that
Tank A contains water=80 gallons
x(0)=20,y(0)=5
Tank B contains water=30 gallons
Rate=4 gallon/min
Concentration of salt is pumped into tank=0.5 pound /gallon of water
Solution pumped from tank A to tank B at the rate=6 gallons/min
Solution pumped from tank B to tank A at the rate=2gallon/min
Solution from tank B is pumped out of the system at the rate=4 gallon/min
We have to find the DE at time t
For x
Rate in=[tex]0.5\times 4+y(t)/30\times 2[/tex]
Rate in=[tex]2+y/15[/tex]
Rate out=[tex]x/80\times 6[/tex]
Rate out=3x/40[/tex]
[tex]\frac{dx}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dx}{dt}=2+y/15-3x/40[/tex]
[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]
For y
Rate in=[tex]x/80\times 6[/tex]
Rate in=3/40x
Rate out=[tex]y/30\times (4+2)[/tex]
Rate out=y/5
[tex]\frac{dy}{dt}=[/tex]Rate in-Rate out
[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]
Please help me I will give you 10 points
Answer
Multiply 8 and 4
Step-by-step explanation:
start from left to right so you wanna start by dividing and multiplying first in evaluating
Which mixed number is equivalent to the improper fraction?
14/9
Answer: 1 5/9 (one and five-ninths)
Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.
—
HELP PLEASE!! ill give brainlist
Answer:
Hi... Your answer is A...
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
que porcentaje de 108 es 81?
need help asap please
Answer:
[tex]\displaystyle 77[/tex]
Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.
B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find
the coordinates of D.
Answer:
[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]
[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]
Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
Find the range and domain for the functions shown.
(A). Domain:
(B). Range:
Answer:
The domain and the range of the function are, respectively:
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Step-by-step explanation:
Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Answer:
Step-by-step explanation:
Look at the table of values.
x
у
-6
11
- 2
7
0
5
4
1
8
-3
Which equation represents the relationship between x and y?
A. y = x-1
B. y = x - 4
C. y = 5 - x
D. y = 2x + 3
Find the volume of the figure. Round your answer to two decimal places, if needed
Answer:
[tex]\mathrm{A. \:756\:in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.
Therefore the volume of this prism is:
[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1
Work out the three numbers that are in both sequences and also between 20 and 40
Answer:
The three numbers are 23, 29 and 35.
Step-by-step explanation:
Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.
To find: The three numbers that are in both sequences and also between 20 and 40.
Consider both the sequences.
Put n = 11 in the nth term 2n+1, we get 23.
So, the 11th term of first sequence is 23.
Now put n = 8 in the nth term 3n-1, we get 23.
So, the 8th term of the second sequence is 23.
Therefore, first number that is in both sequence and lies between 20 and 40 is 23.
Now put n = 14 in the nth term 2n+1, we get 29.
So, the 14th term of first sequence is 29.
Put n = 10 in the nth term 3n-1, we get 29.
So, the 10th term of the second sequence is 29.
Therefore, second number that is in both sequence and lies between 20 and 40 is 29.
If we put n = 17 in the nth term 2n+1, then we get 35.
That is, 17th term of first sequence is 35.
Now we put n = 12 in the nth term 3n-1, then we get 35.
That is, 12th term of second sequence is 35.
So, third number that is in both sequence and lies between 20 and 40 is 35.
Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.
Mya bought 8 slices of bread for $2.40 at her local grocery store. How much would a
package with 12 slices cost at the price per slice?
Work Space
Answer:
Cost of package with 12 slices = $3.60
Step-by-step explanation:
Given that:
Cost of 8 slices of bread = $2.40
Unit rate per slice = [tex]\frac{2.40}{8}[/tex]
Unit rate per slice = $0.30 per slice
Cost of package with 12 slices = 12 * 0.30
Cost of package with 12 slices = $3.60
Hence,
Cost of package with 12 slices = $3.60
Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2a-5>3 Equation/Question
Step 2
-2a-5>3 Simplify
-2a-5>3
Step 3
-2a-5>3 Divide
answer
a<-4
Hope this helps
Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-axis
4. reflection across the y-axis
Answer:
Step-by-step explanation:
What ratio is bigger 6:12 or 1:2
Answer:
they are both the same amount
Step-by-step explanation:
Answer:
Step-by-step explanation:
They are both the same 6:12 can be reduced to 1:2 by dividing 6 and 12 by 6.
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
factor polynomial
x^ + 9x + 20
Which expression is equivalent to 4.005−3.12?
Answer:
0.885
Step-by-step explanation:
Please help me! I'm really stuck on this question!
i think the answerd is a
A rock is thrown upwards from the edge of a 52foot cliff and eventually falls to the ground. The graph below shows the height ,y, of the rock from the ground after x seconds.
For which interval is the rocks height always increasing ?
The interval for which the rock's height always increasing will be 0 < x < 3. Then the correct option is A.
The complete question is attached below.
What is a function?A statement, principle, or policy that creates the linkage between two variables is known as a function.
A rock is thrown upwards from the edge of a 52 feet cliff and eventually falls to the ground.
The graph below shows the height (y), of the rock from the ground after (x) seconds.
The graph of the function is given below.
Then the interval for which the rock's height always increasing will be 0 < x < 3.
Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
amount of money Bradley still owes his parents?
Answer:
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Step-by-step explanation:
Given that:
Amount Bradley owes = $275
Amount Bradley pays each week = $55
Let,
x be the number of weeks.
We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;
f(x) = 275 - 55x
Hence,
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Calculator
What is the value of x?
10
Enter your answer in the box
6
Answer:
x = 8
Step-by-step explanation:
hchkcckxkgkzkupvouuocouc
USING PYTHAGORAS THEOREM
h²=p²+b²
10²=x²+6²
10²-6²=x²
100-36=x²
x= \sqrt{64}
x=8
So x=8
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.
Answer:
The answer seems like it's 400 but i'm not 100% sure.
Step-by-step explanation:
Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2
5 2/3+m=9 3/4 evaluate
Answer:
m=4[tex]\frac{1}{12\\}[/tex]
Step-by-step explanation:
Basic math
Pretty easy
Have a wonderful day
How much change should Mack get back when he uses $20.00 to pay for purchases totaling $14.35?
Answer:
5
Step-by-step explanation:
i anserwed it on the test
y = 15x + 15 How do I interpret the slope and y-intercept?
Answer:
Look at explanation.
Step-by-step explanation:
The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.
Easy math (17 points))
Answer:
A-8.25 B-43.2 C-248.5
Step-by-step explanation:
Answer:
A-8.25
B-43.2
C-248.5
Step-by-step explanation: