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3 years ago

Find the values of a and b so that the solution of the linear system is (5,2)

2 answers:

8 0

5*a+2*b=23
5*a-2*b=7:
a=(23-2b)/5
b=(7+5a)/2:
a=(23-2*(7+5a)/2)/5
5a=23-7-5a
5a+5a=23
a=23/10
b=(7+5*23/10)/2
b=(7+23/2)/2=(37/2)/2=37

AVprozaik [17]3 years ago

7 0

Answer: a = 10 and b= 4

Step-by-step explanation:

x =5 y = 2

5a + 2b = 23-------(1)

5a - 2b = 7---------(2)

(1) -(2)

4b = 16

b = 16/4

b = 4

also, (1) + (2)

10a =30

a = 30/10

a = 3

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Answer:

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Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

<u>case A)</u> The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is $56.55\ in^{3}$

The statement is false

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<u>case C)</u> The empty space inside the can is $14.13\ in^{3}$

The statement is false

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The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

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3 years ago