Answers
Answer:
270 cans of soda
Step-by-step explanation:
First, we need to find the volume of the box and the volume of a can.
Volume of box = [tex]l\times w\times h[/tex]
[tex]=17\times45\times20[/tex]
[tex]=15300cm^{3}[/tex]
Volume of can = [tex]\pi r^{2}h[/tex]
Since we are given the diameter and that the radius is half the diameter, [tex]r = 1.5cm[/tex]
Volume of can = [tex]\pi \times 1.5^{2}\times 8[/tex]
[tex]= 56.54866776cm^{3}[/tex] (using calculator)
To find how many cans can fit into the box:
Number of cans = volume of box [tex]\div[/tex] volume of can
[tex]= 270.5634033[/tex]
Because we are trying to find how many full whole cans can fit in the box, ∴ 270 cans of soda can fit in the box.
Hope this helps :)
Related Questions
1. A triangle has the following lengths-
Side 1: 4x+1,
Side 2: 6x - 5, and
Side 3: x + 1.
Its perimeter is 41 cm.
Write an equation for this situation: 4x+1+6X-5+x+1
2 = 4cm
THEN find the lengths of all 3 sides of the triangle:
Need help finding the sides
Answers
Answer:
Side 1: 17cm. Side 2: 19cm. Side 3: 5cm.
Step-by-step explanation:
Equation:
(4x+1)+(6x-5)+(x+1)=41Remove parenthesis, 4x+1+6x-5+x+1=41Combine like terms, 11x-3=41Add, 11x=44Divide, x=4Now, find the side lengths:
4(4)+1=16+1=176(4)-5=24-5=191(4)+1=4+1=5Double check:
15+19+5=41Given the figure above, determine
Answers
Explanation:
Proof that triangle ACB ~ triangle CBD
Angle ABC = Angle CBD (same angle)
If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.
=> angle ACD = Angle CDB
Therefore, triangle ACB ~ triangle CBD (AA)
=> angle C = Angle A
But angle A = 47 degree
Therefore, Angle C = Angle 2 = 47 degree
What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12 y = negative 2 x minus 6 y = negative 2 x + 6 y = 2 x minus 6 y = 2 x + 6
Answers
Answer:
y = 2 x minus 6
Step-by-step explanation:
(-6,-18) and (-1,-8)
Slope: (-8 - -18)/(-1 - -6)
10/5
2
y = 2x + c
-8 = 2(-1) + c
-8 = -2 + c
c = -6
y = 2x - 6
y = 2x - 4
Answer:
IUIIIMMMM AHAAVIDDNGG AAA STTTRRROKEEEE HHHEELLOOPPP
*C if you couldnt enderstand the onther guy* HHEEEEEEEEELLLOOLLLKLKKLLP MEEEEKEOEOEKEE
Step-by-step explanation:
Can anyone solve it?
Answers
Explation:
I hope this help
please helpp! and if you have time please consider answering my last question too pleasee
Answers
Answer:
About 7,500
Step-by-step explanation:
Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2% motor oil. The "break in" mixture for a new engine is about 96% gasoline and about 4% motor oil. a. Write an equation in standard form that models the possible combinations of each kind of mixture you can prepare using 6 gallons of gasoline. b. If you prepare 4 gallons of the "break in" mixture, how much gasoline will you have for the standard mixture?
Answers
Answer:
0.98g+ 0.02m= 7.1224 gallons standard mixture
0.96g+ 0.04m= 6.25 gallons break oil
3.92 gallons of gasoline is required for 4 gallons the standard mixture
Step-by-step explanation:
If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2
Gasoline: Motor oil
6 : x
98 : 2
Using the product rule
x= 6*2/98= 0.1224 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be
0.98g+ 0.02m= 7.1224 gallons standard mixture
For break in oil
Gasoline: Motor oil
6 : x
96 : 4
Using the product rule
x= 6*4/96= 0.25 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be
0.96g+ 0.04m= 6.25 gallons break oil
Part b. For 4 gallons of the "break in" mixture
96% of the 4 gallons of the "break in" mixture is gasoline = 3.84 gallons of gasoline
4% of 4 = 0.16 gallons of motor oil
Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil
98% of 4 gallons= 3.92 gallons of gasoline
2% of 4 gallons= 0.08 gallons of motor oil.
With 6 gallons of gasoline you could obtain 6.12 gallons of standard mixture or 6.25 gallons of break in mixture. In turn, if 4 gallons of break in mixture were prepared, there would be 2.16 gallons of gasoline left to prepare standard mixture.
Since the standard gasoline and oil mixture is about 98% gasoline and about 2% motor oil, and the "break in" mixture for a new engine is about 96% gasoline and about 4% motor oil, to determine the possible combinations of each kind of mixture you can prepare using 6 gallons of gasoline and, if you prepare 4 gallons of the "break in" mixture, how much gasoline will you have for the standard mixture, the following calculations should be performed:
A)
Standard mixture =98 = 62 = X2 x 6/98 = 0.12Break in mixture =96 = 64 = X4 x 6/96 = 0.25Therefore, with 6 gallons of gasoline you could obtain 6.12 gallons of standard mixture or 6.25 gallons of break in mixture.
B)
100 = 4 96 = X 96 x 4/100 = 3.84 6 - 3.84 = 2.16
Therefore, if 4 gallons of break in mixture were prepared, there would be 2.16 gallons of gasoline left to prepare standard mixture.
Learn more in https://brainly.com/question/8536366
What is the name for additional footage you collect when covering a story
-sequences
-extra footage
-soundbites
-B-roll
Answers
Answer:
the additional footage is called B-roll
Justin was doing laundry over the weekend. He reduced his dirty laundry amount from 124 pieces of clothes to 32 pieces of clothes. By what percent was his dirty laundry reduced?
Answers
Answer: Justin dirty laundry was reduced by 74. 18%
Step-by-step explanation:
Step 1
Total amount of clothes = 124 pieces
Number of clothes reduced to = 32 pieces
To find the amount of the reduction, We will first Subtract the number reduced to from the initial amount of clothes giving us
Amount of reduction = 124- 32 =92 pieces of clothes
Step 2---Then we Divide the amount of the reduction of the clothes by the total amount of clothes to find the rate of reduction, giving us
Rate of reduction = 92/124 = 0.741
Step 3--- we finally Multiply the rate of reduction of clothes by 100 to find the percentage reduction.
0.741 x 100 = 74. 18%
can someone plz help?
Answers
180-105=75
the third side is 75
Answer:
The length of the third side is 75.
Step-by-step explanation:
You have to use pythagorean theorem to solve this problem. The pythagorean theorem is: a² + b² = c².
In this case, the third side is equal to c. Side c is always opposite of the right angle. It doesn't matter whether 60 or 45 is a or b because you are going to add them together anyways.
60² + 45² = c²
c² = 5625
c = 75 ...... You get 75 by taking the square root of 5625.
im eating pizza yupp
Answers
Answer:
n8ce I at pizza just 2 days ago
Step-by-step explanation:
hope you have a good meal
Answer:
cool
Step-by-step explanation:
PLEASE HELP EXPLAIN THIS!!!!!
Answers
Answer:
Step-by-step explanation:
Look at the number and the angles
Multiple the angles all together that's how u find x
Answer:
The answer for number one is X=37. This is because 37 is half of 74.
Basically, these are all equal angles. The ones across from eachother are, and the angles that are right next to eachother are always going to equal 180, or half of 360. Number 4 is the same as the rest, but it seems more confusing because of the 5th line. If you add 55 and 85, then divide it by 8, you will get the answer.
The retailer sold each package for $12.59.
What is the difference between the retailer’s cost and the selling price for each package of coffee?
Answers
Answer: 8.23
Hope this helps all you young learners
Answer:
✔ $4.36
✔ $8.23
Step-by-step explanation:
I have 8 apples and my mom has 2 how many do we have together
Answers
Answer:10
Step-by-step explanation:
8+2=10
Please help! I do not get this at all lol
Answers
Answer: search up linear or non linear calculator on google
Step-by-step explanation:
Hope that helps
Can a triangle with side lengths 7, 25, and 19 be a nght triangle?
Answers
plot the coordinates on the grid. connect the points with a smooth curve to plot the graph y=X2 (squared)
Answers
Answer:
Step-by-step explanation:
Which ratio is equivalent to the ratios plotted on the graph?
A. 23
B. 1014
C. 1520
D. 1620
Answers
Mason took out an $800 loan from the
bank. At the end of 5 years, he pays
back the principal, plus $120 simple
interest. What was the annual interest
rate?
Answers
Answer: 3%
This is pretty easy so this is it
The hardcore version of a book weighs 7 ounces while it’s paperback version weighs 5 ounces. Forty-five copies of the book weighs a total of 249 ounces
Answers
Answer:
What are you asking?
Step-by-step explanation:
Have a great day!
A truck can be rented from Company A for $110 a day plus $0.30 per mile. Company B charges $30 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
150 + .20x = Company A
70 + .40x = Company B
If we set these two equations equal to each other, we find out when the price will be the same.
5x+4y=14
-2x-8y=20
please show work
answer quickly
Answers
Answer:
:work
Step-by-step explanation:
;c
if six pounds of grape juice is $3, how much would it cost to buy 3,4, and 5 pounds of grape juice?
Answers
Answer:
It would cost $9 for 3 pounds, $12 for 4, and $15 for 5.
Step-by-step explanation:
I hope I understood what you we're asking correctly, sorry if not. :)
is the point (0,4) is a solution to y<4x-8
Answers
Answer:
no
Step-by-step explanation:
the y intercept is 8
1. In the diagram shown of AABC, CDA, CEB, DE // AB making AABC ⓇADEC, DE = 4cm,
AB = 10cm, CD = x and DA = x + 3. What is the length of AC?
Answers
Answer:The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. ... If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73. Since,. CD=DE.
Step-by-step explanation:
PLEASE HELP, WILL MARK BRAINIEST! Find the value of k if the line joining the points (k,k+9) and (6,1) is parallel to the line whose equation is 2x+5y=15
Answers
Answer:
k=15/4
Step-by-step explanation:
so you have to do y=Kx and then find you constant witch would give you the answer witch the answer is above.
hope this helped you
At 1:00 am, the temperature in Finland was -8⁰F. By noon, the temperature was 25⁰F. What was the change in temperature, in degrees Fahrenheit, from 1:00 am to noon?
Answers
Maria is 8 years older than her brother, and the sum of their ages is 72 years. How old is her brother?
Answers
Maria is 8 years older than her brother, and the sum of their ages is 72 years. How old is her brother?
Answer:Maria's brother is 32 years old.
Solution and Explanation:Let's assume that:
Maria's brother = x years oldAs per the provided information, Maria is 8 years older than her brother, so her age can be expressed as [tex]\large\rm{x+8}[/tex].
The sum of their ages is 72 years, so we can set up the equation:
[tex]\Large\begin{aligned}\rm{x + (x+8)}& =\rm{72}\end{aligned}[/tex]
Substitute Maria's age into the above equation and solve for x:
[tex]\Large\begin{aligned}\rm{x + (x+8)}& =\rm{72}\\\rm{2x + 8}&=\rm{72}\\\rm{2x + \cancel{8 \red{-8}}}&=\rm{72 \red{-8}}\\\rm{2x}&=\rm{64}\\\rm{\dfrac{\cancel{2}x}{\cancel{\red{2}}}}&=\rm{\dfrac{64}{\red{2}}}\\\rm{x}&=\bold{32}\end{aligned}[/tex]
[tex]\therefore[/tex] Maria's brother is 32 years old.
To check our answer, we can substitute [tex]\large\rm{x = 32}[/tex] into the equation [tex]\large\rm{x + (x+8) = 72}[/tex]:
[tex]\Large\begin{aligned}\rm{x + (x + 8)}&=\rm{72}\\\rm{\red{32} + (\red{32}+8)} &=\rm{72}\\\rm{32 + 40}&=\rm{72}\\\rm{72}&=\rm{72}\end{aligned}[/tex]
This is true, so our assumption that Maria's brother's age is 32 is correct.
[tex]\\\\[/tex]
For more information visit these links:
https://brainly.com/question/20654583
https://brainly.com/question/11364875
Answer:
Maria's brother is 32 years old.
Step-by-step explanation:
Let's denote Maria's brother's age as [tex]\bf{x}[/tex]. Since Maria is 8 years older than her brother, her age can be represented as [tex]\bf{x + 8}[/tex]. The sum of their ages is 72, so we can write the equation:
[tex]\LARGE \boxed {\boxed{x + (x + 8) = 72}}[/tex]
Solving this equation, we get:
[tex]2x + 8 = 72[/tex]Now, we need to isolate [tex]x[/tex]. First, we can subtract 8 from both sides:
[tex]2x = 64[/tex]Next, we can divide both sides by 2:
[tex]x = 32[/tex]So, Maria's brother is 32 years old.
________________________________________________________
Learn MoreTo learn more about calculating ages using algebra, visit here:
https://brainly.com/question/20194732https://brainly.com/question/11364875https://brainly.com/question/20654583________________________________________________________
Write the slope intercept form of the equation through the given point with the given slope.
through (2,2), slope = 3
Answers
Answer:
y = 3x - 4
Step-by-step explanation:
With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.
[tex]y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b[/tex]
The equation is:
[tex]y=3x-4[/tex]
Hope this helps!
Name the constant of variation for y equals 1/4x then find the slope of the (0,0) and (4,1)... please
Answers
Answer:
Constant of variation: 1/4
Slope of the line: 1/4
Step-by-step explanation:
The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.
The slope formula states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
how do you solve for x
ax=6
Answers
Hey there!
ax = 6
Divide both of your sides by “a”
ax/a = 6/a
Cancel out: a/a because that gives you 1 (or you can say)
Keep: 6/a because it is our value of x
Thus, your answer is mostly likely: x = 6/a
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
