Answer:
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
Step-by-step explanation:
First Pool :
Initial amount of water in Pool = 1850 liters
Water is being added to the first pool at a rate of 27 liters per minute.
Amount of water added after x minutes = 27x
So, Total amount of water after x minutes = 1850+27x
Second Pool:
Initial amount of water in Pool = 1334 liters
Water is being added to the first pool at a rate of 39 liters per minute.
Amount of water added after x minutes = 39x
So, Total amount of water after x minutes = 1334+39x
Now to find an equation to show when the two pools would have the same amount of water.
1850+27x= 1334+39x
1850-1334=39x-27x
516=12x
[tex]\frac{516}{12}=x[/tex]
43 =x
Hence
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
I need help with a math problem comment if u want i really need help with this
What is the constant of the following:
19x - 4y - 2?
The members of Ms. Wilson’s quiz bowl team earned the scores listed below in the past 6 competitions they attended. 82, 76, 94, 71, 68, 89 Which measure BEST summarizes all of the team’s scores? mean mode range variance
Answer:
Variance is the measure best summarizes all of the team’s scores
Step-by-step explanation:
The members of Ms. Wilson’s quiz bowl team earned the scores listed below in the past 6 competitions they attended:
82, 76, 94, 71, 68, 89
Mean = The mean is the average of the numbers
Mode=The number which appears most often in a set of numbers.
Range : Range is the difference between the lowest and highest values.
Variance :A measure of how spread out numbers are
So, By definitions we can say that Variance is the measure best summarizes all of the team’s scores
If 3.85x10^6 is divided by 385x10^4 the result is
Answer:
The answer is 1.
385x10^4 is equivalent to 3.85x10^6 so when the two numbers are divided the answer is 1.
#9A
What is a reasonable first step to solve for y?
1/ 4x + 3y = 2z
Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and height equals 180. (Give exact answers. Use symbolic notation and fractions where needed.)
Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when [tex]\frac{dV}{dx} = 0[/tex]
[tex]\frac{dV}{dx} = 360x-6x^{2}[/tex]
[tex]360x-6x^{2} = 0\\360x = 6x^2\\360 = 6x\\6x = 360\\x = \frac{360}{6}\\ x = 60[/tex]
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
The dimensions of the rectangular box of maximum volume are;
Length = 60
Length = 60Width = 60
Length = 60Width = 60Height = 60
Let the dimensions of the rectangular box be;
Length = x
Width = y
Height = h
Volume of a rectangular box is given by;
V = length × width × height
Thus;
Volume of this box in question is;
V = xyz
The box is called a rectangular box because it's sides are rectangular in shape but it's base will be square in shape.
Thus;
width = x and so;
V = x²h
We are given the sum of the length, width, and height of the rectangular box to be equal to 180.
Thus; x + x + h = 180
2x + h = 180
h = 180-2x
Put 180 - 2x for h in the equation for volume;
V = x²(180 - 2x)
V = 180x² - 2x³
The maximum volume will occur at the dimensions when dV/dx = 0. Thus;
dV/dx = 360x - 6x²
At dV/dx = 0, we have;
360x - 6x² = 0
6x² = 360x
x = 60
Recall that; h = 180 - 2x, thus;
h = 180 - 2(60)
h = 60
Read more at;https://brainly.com/question/19053087
In the picture above, ∠3 and ∠7 are ______
angles which are _____.
Answer:
Corresponding
Equal, Congruent
Step-by-step explanation:
Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.
What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.
Answer:
The least number of spoons = 11 spoons
The least number of forks = 6 forks
Step-by-step explanation:
We are told in the question:
Spoons only come in bags of 12
Forks only come in bags of 22.
This is an LCM question, hence, we find the Multiples of 12 and 22
The first common multiple is found and this is the lowest common multiple.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176
Therefore,
LCM(12, 22) = 132
The least number of supplies she can have is 132.
So therefore,
The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons
The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.
James has 851 feet of rope. There are 14 teams of hikers. If James gives an equal amount of rope to each team how much rope will each team receive
Answer:
60 is your answer :)
Step-by-step explanation:
hope this helps :)
10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48
maybe try quizzlet that would really help i swear
your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, you can find the distance between two lines using the formula for the distance to a line.
In general, the notion of distance between two lines only make sense when the lines are parallel.
The usual formula for the distance between a point (x, y) and the line ...
ax +by +c = 0
is ...
d = |ax +by +c|/√(a^2 +b^2)
Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...
ax +by +c1 = 0ax +by +c2 = 0we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...
d = |ax +by +c1|/√(a^2 +b^2)
Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:
d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)
Simplifying gives ...
d = |c1 -c2|/√(a^2 +b^2)
Express 27x81 as a power of 3
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
Manuel can walk 5 miles In one hour. At this rate, how many miles can he walk in 8 minutes? Round to the nearest tenth
Answer:0.6666664
Step-by-step explanation:
You take 5 and divide by 60. Then multiply by 8.
2/3 of a mile.
If he can walk 5 MILES a hour, lets use 5/60.
Multiply 5/60 by 8 since each minute he travels 5/60 of a MILE.
You get 0.66(repeating) OR 2/3
Mrs. Lofton created a histogram of her first two test grades for her class. if the combines the two tests, what percentage of the grades were below 70. (image below)
Answer: the answer is 84
Step-by-step explanation:
△ABC ≅ △EDF.
Determine the value of x.
Answer: 17
Step-by-step explanation:
A product's demand per period follows a normal distribution with mean of 60 and standard deviation of 10. The lead time is 3 periods. What order-up-to level should be used to achieve at least a 90% in-stock probability?
Answer:
209
Step-by-step explanation:
Since the lead time is 2 periods at the time of order, the stocks should last for 3 periods with the 90% probability.
The z-value of 90$ in stock probability = 1.7
Mean of the demand over is (1 + 1 + 1 ) or (2+1 which is 3)
= 60 x 3 = 180
Now the standard deviation of demand over the three periods = 17.3
Therefore, the order up level would be = 180 + ( 1.7 x 17.3 )
= 209
Write the solution set of the given homogeneous system in parametric vector form. 0 where the solution set is x
Answer:
[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]
X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]
Step-by-step explanation:
Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.
tell whether the lines through the given points are parallel, perpendicular, or neither. (-9, 3), (-5, 7) (-11, 6) (-7, 2)
Answer:
did you ever did the answer
Step-by-step explanation:
Solve x2 − 8x + 15 < 0.
Recall that the quadratic factors as:
(x − 3)(x − 5) < 0
Therefore, the intervals that must be tested are
x < 3, 3 < x < 5 and x > 5.
The solution set for the quadratic inequality is:
Answer:
Step-by-step explanation:
Given the quadratic inequality we are to find the interval of x
x² − 8x + 15 < 0
Factorize
x²-3x-5x+15<0
x(x-3)-5(x-3)<0
(x-3)(x-5)<0
(x-3)<0 and x-5<0
if x+3<0
x<-3
If x-5<0
x<5
Hence the solution yo the quadratic inequality are x<3 and x<5
Hence
Answer:
(3, 5)
Step-by-step explanation:
Correct on e2020
Help me Idk how to do this one
Answer:
Hmm im not sure
Step-by-step explanation:
Convert 5 over 6 to a percent rounded to the nearest tenth.
Answer:
0.8
Step-by-step explanation:
5/6 = 0.83333333...
To round to the tenth, we must count only one number past the decimal.
This leaves us with 0.8.
What is the error in this problem?
Answer:
Reflect or flip over the shape is the step missed
Step-by-step explanation:
Answer:
AK matched the wrong points together. She should've translated shape A six units to the left and seven units up.
Jasmine's cell phone company charges her $35 a month for phone service plus 0.50 for each text message. How many text messages does she send in a month if her bill was $52. explain how you did the math and let T= the # of text messages
Answer:
Step-by-step explanation:
you have to divid 52 by 0.50 i think
A pumpkin grows with a constant of proportionally of 4 cm in diameter per week. If Susan begins growing her pumpkin 10 weeks before Halloween will her pumpkin be larger that 50 cm in diameter?
Sam lives near a lagoon in the Caribbean that is populated by flamingos. Sam decides to figure out approximately how many flamingos live in the area. He catches 45 flamingos, put tags on them, and releases them. Later, he catches 280 flamingos, 30 of which are tagged. To the nearest whole number, what is the best estimate for the flamingo population?
Answer:
about 330
Step-by-step explanation:
280 rounded is 330 and 30 is already rounded so you would add 30 plus 330
Answer:
THE ANSWER IS 330 BUT YOU WOULD ADD 300 PLUS 30
Step-by-step explanation:
i need points :)
An architect wants to build a scale model of a building that is in the shape of a rectangular prism. The building has a height of 500 ft., a width of 120 ft., and a length of 600 ft.The scale model is 1% of the size of the building based off its length and width, so the length of the scale model is and the height of the scale model is .
Height: 5ft.
Legnth: 6ft.
Width: 1.2 ft.
1% of 500 is 5ft
1% of 600 is 6ft
1% of 120 is 1.2ft
The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answer:
вы молодец и увас всё получилось
Help me find this answer please (honest and most best answers only)
The baby whale would be 35 years old.
[tex]7*10^3[/tex] in standard notation is 7000
To find the whales age, you must divide 7000 by 200, which is 35.
Which area of this sound wave represents a compression?
A)A
B)B
C)C
D)D
Answer:
c
Step-by-step explanation:
on usa test prep
In a certain chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 663 of copper. How many grams of zinc does it contain?
Answer:
The jar contains 156 grams of zinc
Step-by-step explanation:
Ratios
Let's call
Z=gr of zinc
C=gr of copper
We know the ratio between them in a certain chemical is:
[tex]\displaystyle \frac{Z}{C}=\frac{4}{17}[/tex]
The jar of the chemical contains C=663 gr of copper. Calculate the grams of zinc by solving the above relation for Z:
Multiplying by C:
[tex]\displaystyle Z=\frac{4}{17}\cdot C[/tex]
Substituting the value of C:
[tex]\displaystyle Z=\frac{4}{17}\cdot 663[/tex]
Z=156 gr
The jar contains 156 grams of zinc