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AysviL [449]
3 years ago
7

X=y x+2y =3 Solve using substitution

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

Therefore the Final Solution is

x = 1 and y = 1

Step-by-step explanation:

Given:

x=y                ...............Equation ( 1 )

x+2y=3         ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Equating Equation  ( 1 ) in Equation ( 2 ) we get

y+2y=3\\\\3y=3\\\\y=\frac{3}{3} \\\\\therefore y =1

Now Substituting y = 1 in Equation ( 1 ) we get

x =1\\\\\therefore x=1

Therefore the Final Solution is

x = 1 and y = 1

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the
kolbaska11 [484]

Answer:

Volume of cylinder = \pi r^2h

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = \pi r^2

Area of square = s^2

Side of square = diameter of circle= D^2

Diameter = 2r

∴ Area of square=  2r^2=4r^2

\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}

Area of circle is \frac{\pi }{4}  of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = 4r^2h

Volume of cylinder = Area of circle × h = \pi r^2h

Now, rate

\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}

⇒Volume of cylinder is  \frac{\pi }{4}  of Volume of prism.

Volume of Cylinder =\frac{\pi }{4}\times Volume of prism

Volume of cylinder = \frac{\pi }{4}\times 4r^2h

Volume of cylinder = \pi r^2h

6 0
3 years ago
Read 2 more answers
A construction crew has just built a new road. They built 156.25 kilometers of road at a rate of 5 kilometers per week. How many
daser333 [38]

Answer:

31 and a quarter week (31.25)

Step-by-step explanation:

First find the rate. There is no need to do cross multiplication because it's already a unit rate (per 1 week).

2. Divide

156.25 / 5 = 31.25

3. Answer

31.25 weeks

6 0
3 years ago
Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?
katen-ka-za [31]
The answer is letter 4 you can prove this replacing each pair in the function y=3x+5, and it is a straight line because the greatest exponent of this function is 1.
5 0
3 years ago
Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how
Lady bird [3.3K]

A butterfly can fly 82 feet in 4 seconds.

Distance traveled by butterfly = 82 feet.

Time taken by butterfly =4 seconds

Speed = distance /time

Speed of butterfly = 82/4 = 20.5 feet/second

A dragonfly can fly 50 feet in 2 seconds.

Distance traveled by dragonfly =50 feet.

Time taken by dragonfly =2 seconds.

Speed of dragonfly = 50/2 = 25 feet/second

So dragonfly can fly faster than the butterfly.

Difference in speed = speed of dragonfly - speed of butterfly = 25-20.5 = 4.5

So The dragonfly is 4.5 feet per second faster than butterfly.

Answer: B) The dragonfly is 4.5 feet per second faster.  


5 0
3 years ago
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leslie needs to roll an 8 with 2 dice to win a game. How many possible outcomes are these for her to win?
bekas [8.4K]

Answer:there are 36 outcomes with 2 dice, there are 6 outcomes that have the number 8

Step-by-step explanation:


6 0
3 years ago
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