The fish tank problem:
x = # of days
180 - 8x = 160 - 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 2x
Divide both sides by 2
10 = x
It will take 10 days for the fish tanks to have the same amount of water in them.
The sand castle problem:
x = # of minutes.
180 - 8x = 160 + 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 14x
Divide both sides by 14
x = 10/7 mins
After 10/7 mins their sand castles will be the same height
△ABC ≅ △EDF.
Determine the value of x.
Answer: 17
Step-by-step explanation:
Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 157oz of water, how many bottles and cans of water are on the shelf?
Answer:
Number of bottles = 6
Number of cans = c
Step-by-step explanation:
Given that:
Container for selling water :
17 oz bottle
11 oz can
Let number of bottles = b
Number of cans = c
b + c = 11 - - - (1)
17b + 11c = 157 - - - (2)
b = 11 - c
Substitute into (2)
17(11 - c) + 11c = 157
187 - 17c + 11c = 157
187 - 6c = 157
-6c = 157 - 187
-6c = -30
c = 30/6
c = 5
From ; b = 11 - c
b = 11 - 5
b = 6
Hence,
Number of bottles = 6
Number of cans = c
Answer:
6 bottles and 5 cans
Step-by-step explanation:
What is the constant of the following:
19x - 4y - 2?
Express 27x81 as a power of 3
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
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
(-26) + (+6) - (-67)
Answer:
the correct answer is 47
Answer:
47
Step-by-step explanation:
-26 + 6 = -20
-20 - - 67= -20 +67
67-20= 47
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:
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.
In the picture above, ∠3 and ∠7 are ______
angles which are _____.
Answer:
Corresponding
Equal, Congruent
Step-by-step explanation:
#9A
What is a reasonable first step to solve for y?
1/ 4x + 3y = 2z
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.
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
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 :)
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
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
The following dotplot shows the number of e-mails that Alejandro deleted each day. Each dot represents a
different day
+
0
2
4 6
10
Number of e-mails
Here is the five-number summary for these data:
Five-number summary
Answer:
0
Step-by-step explanation:
Answer: 0 high outliers
Step-by-step explanation:
I hope this helps!
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
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
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?
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:
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
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)
Help me Idk how to do this one
Answer:
Hmm im not sure
Step-by-step explanation:
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.
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
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
I need help with a math problem comment if u want i really need help with this
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
