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Musya8 [376]
4 years ago
8

mike is filing 2 cylindrical containers with paint. the larger container has dimensions three times those of the smaller contain

er. If there is 0.4 fluid ounce per cubic inch of paint, how many fluid ounces of paint are in the larger container?

Mathematics
1 answer:
ser-zykov [4K]4 years ago
3 0
Bigger is tripples other thing

small radius=5 so big is 5*3=15
small height=6 so big is 6*4=18


Vcylinder=hpir^2
V=18pi15^2
V=18pi225
V=4050pi
pi=3.141592
V=12723.4476 cubic inchs

0.4 per cubic insh

0.4 times 12723.4476=5089.37904 oz



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What are two numbers multiplied together to get 15 but add to be 12?
KiRa [710]
So x times y=15
x+y=12
solve
x+y=12
subtract x from both sides
y=12-x
subsitute
xy=15
x(12-x)=15
distribute
12x-x^2=15
subtract (12x-x^2) from both sides
0=x^2-12x+15
use quadratic formula which is
x=\frac{ -b+/- \sqrt{b^{2}-4ac} }{2a}
where you have
0=ax^2+bx+c
so
a=1
b=-12
c=15
subsitute
x=\frac{ -(-12)+/- \sqrt{-12^{2}-4(1)(15)} }{2(1)}
x=\frac{ 12+/- \sqrt{144-60} }{2}
x=\frac{ 12+/- \sqrt{84} }{2}
x=\frac{ 12+/- 2\sqrt{21} }{2}
x=6+/- \sqrt{21}
x=6+ \sqrt{21} or 6- \sqrt{21} or aprox
x=10.5826 or 1.41742
the numbers are 10.5826 and 1.41742






3 0
4 years ago
Solve the system algebraically. 2x+ y - 10 = 0 x - y - 4 = 0 What is the value of y? 1/3 2/3 14/3
stich3 [128]

Answer:y = 2/3

Step-by-step explanation:

2x + y = 10

x - y = 4

-----------------add

3x = 14

x = 14/3

x - y = 4

14/3 - y = 4

-y = 4 - 14/3

-y = 12/3 - 14/3

-y = -2/3

y = 2/3 <==

6 0
3 years ago
Read 2 more answers
Which distance is greater: from Roller Coaster 1 to Roller Coaster 3 or from the Water Slide to Roller Coaster 2? Justify your a
Butoxors [25]

Answer:

distance from the Water Slide to Roller Coaster 2

Step-by-step explanation:

✔️Distance from Roller Coaster 1 (-6, 7) to Roller Coaster 3 (-6, -3):

Distance = |7 - (-3)| = |7 + 3| = 10 units

✔️Distance from the Water slide (8, -8) to Roller Coaster 2 (-6, -8):

Distance = |8 - (-6)| = |8 + 6| = 14 units

✔️The distance from the Water Slide to Roller Coaster 2 (14 units) is greater than the distance from Roller Coaster 1 to Roller Coaster 3 (10 units)

5 0
3 years ago
At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i
nydimaria [60]

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44    Eqn 1

5x+2y=76   Eqn 2

Multiplying Eqn 1 by 5

5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144

Dividing both sides by 18

\frac{18y}{18}=\frac{144}{18}\\y=8

Putting y=8 in Eqn 1

x+4(8)=44\\x+32=44\\x=44-32\\x=12

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1357167
  • brainly.com/question/1386181

#LearnwithBrainly

7 0
3 years ago
How to solve 2.925/1-1.00375^(-24)
uysha [10]

Answer:

Look up on the Internet you’re welcome

Step-by-step explanation:

3 0
4 years ago
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