There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then leveled off across their tops, what is the difference in the amount of snow cone each will hold
Answer:
[tex]d = 787.81cm^3[/tex]
Step-by-step explanation:
Given
See attachment for the containers
Required
The difference in the amount of snow cone they hold
The amount they hold is determined by calculating the volume of the containers.
The traditional snow cone has the following dimension
Shape: Cone
[tex]r=4cm[/tex] --- radius
[tex]h = 13cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \frac{1}{3} \pi r^2h[/tex]
So, we have:
[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]
[tex]V_1 = \frac{208}{3} \pi[/tex]
The snow cone in a cup has the following dimension
Shape: Cylinder
[tex]r=8cm[/tex] --- radius
[tex]h = 5cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \pi r^2h[/tex]
So, we have:
[tex]V_2 = \pi *8^2 * 5[/tex]
[tex]V_2 = \pi *320[/tex]
[tex]V_2 = 320\pi[/tex]
The difference (d) in the amount they hold is:
[tex]d = V_2 - V_1[/tex]
[tex]d = 320\pi - \frac{208\pi}{3}[/tex]
Take LCM
[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]
[tex]d = \frac{960\pi -208\pi}{3}[/tex]
[tex]d = \frac{752\pi}{3}[/tex]
Take [tex]\pi = 22/7[/tex]
[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]
[tex]d = \frac{752 * 22}{3*7}[/tex]
[tex]d = \frac{16544}{21}[/tex]
[tex]d = 787.81cm^3[/tex]
What is (x-7)(x-4) ????????
Answer:
x^2 -11x+28
Step-by-step explanation:
See Image below. I hoped this helped :)
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds
Answer:
13 pounds
Step-by-step explanation:
We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:
205 - 192 = 13 pounds
That means that the box and the packaging is 13 pounds. Hope this helps!
Da solución al siguiente sistema de ecuaciones utilizando el método de igualación. X + y =82 , 5x + 10y = 500 por favor es para hoy.
Answer:
X = 64
Y = 18
Step-by-step explanation:
Para resolver un sistema de ecuaciones de dos incognitas por igualacion:
- Se despeja en ambas sub ecuaciones una incognita y se igualan, para determinar la respuesta del otro valor desconocido
Despejemos la Y en ambas operaciones:
Y = 82 - X
Y = (500 - 5X) 1/10
Y = 50 - 1/2X
Ahora igualamos
82 - x = 50 - 1/2x
82 - 50 = -1/2x + x
32 = 1/2x
x = 32 . 2
x = 64
Volvemos a las dos sub ecuaciones
Y = 82 - 64 → 18
Y = (500 - 5 . 64) / 10
Y = (500 - 320) / 10
Y = 180 / 10 → 18
Can someone help with this please!
Answer:
96/100, if they said simplify then its 24/25
Step-by-step explanation:
What do you do to the b value to correctly complete the square?
A. Square it
B. Divide it by 2 and square the result
C. Divide it by 2 and take the square root of the result
D. Divide it by 2 only
Answer:
Step-by-step explanation:
B is correct: We Divide it (the coefficient b) by 2 and square the result.
Answer:
B. Divided it by 2 and square the result.
2y - 6 = 2
What value of y makes the following true
Answer:
y = 4
Step-by-step explanation:
2y - 6 = 2
add 6 to each side of the equation:
2y = 8
divide both sides by 2:
y = 4
Due tonight *no links*
Answer:
x=50°
Step-by-step explanation:
Add all the number. 110+99+101=310
Then, 360-310=answer(x)
The figure below is a parallelogram. Find the value of x.
Answer:
13
Step-by-step explanation:
8x-6 = 98 and solve from there to get 13
An online furniture store sells chairs for $100
each and tables for $500 each. The store must
sell a minimum of $8300 worth of chairs and
tables each day. Write an inequality that could
represent the possible values for the number of
tables sold, t, and the number of chairs sold, c,
that would satisfy the constraint.
Answer:
13 3/4
Step-by-step explanation:
I bought a 5lb bag of sugar. I used 1 2/3 for cookies and 2 3/4 for cake. How much sugar do I have left?
Answer:
7/12lb
Step-by-step explanation:
5-1 2/3-2 3/4
=5-5/3-11/4
=10/3-11/4
=40/12-33/12
=7/12lb
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
There was an initial amount of 5 lbs.
[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]
4 (5/12) of the sugar was used.
[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]
(7/12) of sugar should be remaining.
Hope this helps.
what is 1/3 divided by 1/6
Answer:
its 2
Step-by-step explanation:
If a sweater originally costs $50 and there is a 30% off sale on sweaters, what is the sale price?
Answer please no links or files
Answer:
120
Step-by-step explanation:
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
Answer:
There is a vertical stretch when I graphed it.
Step-by-step explanation:
Hope this helps:)
BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!!!!!!!
Answer:
8/15
-3
2 1/7
-10
Step-by-step explanation:
...............
Answer:
A. 8/15
B. 36/-12 = 3/-1 (-3)
C. -15/-7 (15/7)
D. -30/3 = -10/1 (-10)
Step-by-step explanation:
To find the quotient of two fractions, change the equation from division to multiplication.
Each time you divide fractions, remember this:
SAME, CHANGE, RECIPROCAL (FLIP)
For example, 2/5 ÷ 3/4
SAME: Keep 2/5 as it is.
CHANGE: Change the division to a multiplication sign.
RECIPROCAL (FLIP): Switch the numerator and denominator; 3/4 would become 4/3.
2/5 x 4/3
(Multiply the numerators and denominators).
2/5 x 4/3 = 8/15.
Now, repeat this with other equations.
9/4 ÷ -3/4
9/4 x 4/-3 = 36/-12 = 3/-1 (-3)
-5/7 ÷ -1/3
-5/7 x 3/-1 = -15/-7 = (15/7)
-5/3 ÷ 1/6
-5/3 x 6/1 = -30/3 = -10/1 (-10)
If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?
Answer:
54 percent
Step-by-step explanation:
The final probability is a weighted average of the going to play probabilities determined for each weather scenario:
P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +
If it doesn't rain, P(John plays cello) * P(it doesn't rain) =
0.54 = 0.6 * 0.7 + 0.4 * 0.3
The likelihood is 54 percent.
The area of a tablecloth is 108 square feet.
The width is 9 feet. What is the perimeter
of the tablecloth?
Answer:
12
Step-by-step explanation:
A die is thrown once, find the probability of getting an even number and a multiple of 3,
Answer:
OPA OPA OPA OPA OPA OPA OPA OPA
Step-by-step explanation:
_. ._
\_(``-)_/
Answer:
its by chance yk
Step-by-step explanation:
Georgia has 168 songs in her playlist, while Scarlet has 266 songs in her playlist. Which statement correctly compares the
number of songs in the two playlists?
266 < 168
266 = 168
168 < 266
168 > 266
Answer:
168<266
Step-by-step explanation:
Answer:
168<266 (Did it on college bridge)
Step-by-step explanation:
If a rock weighs 3.24 pounds on Saturn, what will it weigh on Earth?
Answer:
weight on saturn = (weight on earth/9.8) x 10.44
So,
3.24 = (x/9.8) x 10.44
0.3103 = x/9.8
x = 3.0409
The rock would weigh 3.0409 pounds on Earth! :)
And the difference between the range and the mean (15. 13. 22, 18, 13. 12. 18, 16, 14, 18, 14)
Answer:
range °° heights - lowest = 22-12 = 10
mean °° average number = sum of all numbers÷ number of digits = 173÷ 11 =15.727
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
A new car sells for $34,500. If the car depreciates at a rate of seven and a half percent each year, how much will the car be worth in five years?
Answer:
$23356.5
Step-by-step explanation:
Given data
Cost = $34,500
rate= 7.5%
Time= 5 years
The expression for the depreciation is
A= P(1-r)^t
substitute
A= 34500(1-0.075)^5
A= 34500(0.925)^5
A= 34500*0.677
A=$23356.5
Hence the worth will be $23356.5
Enter a positive value for b that makes this statement true: 16 x b is greater than 16 but less than 32.
Answer:
24
Step-by-step explanation:
24
Answer:
1.5
Step-by-step explanation:
16 x 1.5 =24
24 is greater than 16 and less than 32
PLEASE HELP ME!!!!!!!!!!
Answer:
a= -15
b= -0.5
c= 0.01
Step-by-step explanation:
a: multiply 3 both sides so now it would be a = -15
b: do 12 - 12.5 = -0.5
c: -0.1 divided by -10 = 0.01
find the length of x plsss
Answer:
I am not sure about this one but I think x = 13.89
Step-by-step explanation:
Have a nice day!
Solve the system by substitution.
-2x - 3y = -8
-y = x
Answer:
x=−8 and y=8
Step-by-step explanation:
Answer:
(-8,8)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️If the area of a circle is 113.04 sq ft, what is the diameter of that circle?
Answer:
12ft
Step-by-step explanation:
A=π r^2
113.04 = π r^2
113.04/ π = π r^2/ π
35.98=r^2
√35.98 =√r^2
r= 5.998
d=r*2
d=5.998*2
d=11.9969 rounded to 12 i guess
Which are possible lengths of the sides of a right triangle?
A.
2 cm, 5 cm, 29 cm
B.
2 cm, 6 cm, 8 cm
C.
4 cm, 5 cm, 6 cm
D.
5 cm, 12 cm, 13 cm
Answer:
A.
2 cm, 5 cm, 29 cmNot a triangle as 2 + 5 < 29NoB.
2 cm, 6 cm, 8 cmNot a triangle as 2 + 6 = 8NoC.
4 cm, 5 cm, 6 cm4² + 5² = 41 > 36 = 6²NoD.
5 cm, 12 cm, 13 cm5² + 12² = 169 = 13²YesAnswer:
answer:
A.
2 cm, 5 cm, 29 cm
for right angled triangle
2²+5² =29²
29=29²
false
B.
2 cm, 6 cm, 8 cm
for right angled triangle
2²+6²=8²
40=64
false
C.
4 cm, 5 cm, 6 cm
for right angled triangle
4²+5²=6²
41=36
false
D.
5 cm, 12 cm, 13 cm
5²+12²=13²
169=169
true
so.
possible lengths of the sides of a right triangle is:D.
D. 5 cm, 12 cm, 13 cm