Answer:
40
Step-by-step explanation:
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?
Answer:
The second similar can with a radius of 24-inch radius will hold 12 gallons
Step-by-step explanation:
The given parameters are;
The volumes of the cylindrical can ∝ (The radius of the cans)³
The volume of first can, V₁ = 1¹/₂ pints
The radius of the first can, r₁ = 6-inch
The radius of the second can, r₂ = 24-inch
Therefore, we have;
V ∝ r³
V = k × r³
∴ 1¹/₂ pints ∝ (6 in.)³
1¹/₂ pints = 43.3125 in³
∴ 43.3125 in³ = k × 216 in.³
The constant of proportionality, k = 43.3125/216 = 0.2005208333
Therefore, we have for the second can, we have;
V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³
The volume of the second can = 2772 in.³
1 in.³ = 0.004329 gallons
∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons
Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.
look at the picture please
A rectangle has vertices (j,k) , (l,k) and (l,l). Find the fourth vertex
Answer:
(j,l)
Step-by-step explanation:
It's the only combination left
What is the greatest common divisor between 621 and 1035.
Answer:
207
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAILEST TO CORRECT ANSWER!!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.
Answer:
opps type miss
Step-by-step explanation:
miss type
What is the origin of algebraic expresions plz
select the equation that represents the correct answer. bill divided the 32 ants in his farm into groups. there are 8 ants in each group. how many groups are in the farm?
(A) 8x = 32
(B) 32 - X = 8
(C) X + 8 = 32
(D) 32x = 8
Answer:
dont cheat
Step-by-step explanation:
anyone know how to do this help
Answer:
Height if the tree: 13.8 meters
Answer:
Height of the tree: 13.8 meters
Can someone help me please
Answer:
-15
Step-by-step explanation:
need help FAST not sure
9514 1404 393
Answer:
7. obtuse
8. right
9. acute
Step-by-step explanation:
You can look at the difference ...
a^2 + b^2 -c^2
where c is the longest side. You can classify the triangle based on the result:
> 0 -- acute
= 0 -- right
< 0 -- obtuse
__
7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95 ⇒ obtuse
8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0 ⇒ right
9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5 ⇒ acute
_____
There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
I need this answer ASAP
Answer:
i think the area is 60 i added it up
can someone helPPPPPPPPPPPPPPPPPP
Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?
Answer:
I think it's 18z slices, please tell me if i'm wrong!
Step-by-step explanation:
6*3 = 18
18*z = 18z
I think it's 18z slices, please tell me if i'm wrong!
A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show and park. A. Find the solution to the equation you chose for the story above. B. Explain what the solution means in the context of the story.
(4) B is the midpoint of AC, D is the midpoint of CE, find BD.
Answer:
A :10.5 is the answer
Step-by-step explanation:
A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the taxi? Explain
Answer:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Step-by-step explanation:
Plz help I still have a 33% in my class and I’m trying to do as much imagine math as I can
Answer:
change in y 3-9/ change in x 4-1 =-6/3 = -2 there u go
Step-by-step explanation:
2. A pair of Jordans sold at retail for $180 and now sell for $330 after market.
A. Is this a percent INCREASE or DECREASE?
B. What is the PERCENT change?
Answer:
Um increase and the percentage change is 150
Step-by-step explanation:
Maggie saves money in a jar over a period of 5 weeks, as shown in the table.
A. S = 1.50w + 2.50
B. S = 2.50w + 1.50
C. S = w - 0.50
D. S = w +2.50
Pls help
Simplify the logarithmic expression
9514 1404 393
Answer:
log₁₂(4)
Step-by-step explanation:
The applicable rule of logarithms (to the same base) is ...
log(a^b) = b·log(a)
__
Then the expression simplifies as follows:
[tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]
It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
It would cost $ 34.5
Step-by-step explanation:
Given,
The cost of 3/4 lb of chopped walnut = $ 3.45,
So, the cost of 1 lb of chopped walnut = 4/3*3.45
=4*1.15
= $ 4.6,
Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut
= 7.5 × 4.6
= $ 34.5
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answer:
80*5.2= 416
D: 416 miles
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
Find the value of x in rectangle BCDE.
Find Value of x.
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
Least to greatest!
hope you have a good day
1. When the point is reflected over x-axis, what will
the new coordinates of the new point be?
Answer:
(x , y) ----> (-x , y)
Step-by-step explanation:
(x , y) ----> (-x , y)
Example for 1. :
(-4,2) ---> (4,2)
share 1200kg in the ratio 3:37
Answer:
3+37=40
3/40×1200=90kg
37÷40×1200=1110kg
Step-by-step explanation:
''.''
Answer:
[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]
[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]
Can someone help me with this? I don’t understand it!! (Conditional Property)
Answer:
19%
Step-by-step explanation:
What is the probability that those who ordered a large drink was a cold one?
27 drinks in total
5 cold
5/27*100%
Hope this helps!
Help due at 11:59 please help
Answer:
Step-by-step explanation:
the last choice looks good
Answer: Its the bottom one i believe
Step-by-step explanation:
Domain slope stuff you don't want to hear have a good night :)