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1 year ago

One number i ix le than a econd number. Four time the firt i 2 more than 6 time the econd. Find the number

Mathematics

1 answer:

Kruka [31]1 year ago

8 0

When the difference between one and two numbers is two, the two numbers are -10 and -12.

Given that,

The difference between one and two numbers is two. Twelve more than six times the second is four times the first.

We have to find the number.

We know that,

The system of equation we get

x=y-2 ----->equation(1)

4x=12+6y ----->equation(2)

Substitute for x in the equation(2)

4(y-2)=12+6y

4y-8=12+6y

4y-6y=12+8

-2y=20

y=-10

Substitute y=-10 in equation(1)

x=-10-2

x=-12

Therefore, The two numbers area -10 and -12 when the difference between one and two numbers is two.

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A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of thespheres

Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

Volume of the 1st sphere:

The formula to determine the volume of the sphere is given by

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

Volume of the 1st sphere is given by

$V=\frac{4}{3}(3.14)(11)^3$

$V=\frac{4}{3}(3.14)(1331)$

$V=\frac{16717.36}{3}$

$V=5572.45$

The volume of the 1st sphere is 5572.45 cubic feet.

Volume of the 2nd sphere:

Volume of the 2nd sphere is given by

$V=\frac{4}{3}(3.14)(8)^3$

$V=\frac{4}{3}(3.14)(512)$

$V=\frac{6430.72}{3}$

$V=2143.57$

The volume of the 2nd sphere is 2143.57 cubic feet.

Difference between the volume of the two spheres:

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

= 5572.45 - 2143.57

Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0

3 years ago

Solve each system of equation algebraically y=x+2 y=-3x

algol [13]

Try this solution:
$\left \{ {{y=x+2} \atop {y=-3x}} \right. \ =\ \textgreater \ \ \left \{ {{-3x=x+2} \atop {y=x+2}} \right. \ =\ \textgreater \ \ \left \{ {{y=2- \frac{1}{2}} \atop {x=- \frac{1}{2}}} \right. \ =\ \textgreater \ \ \left \{ {{y= \frac{3}{2}} \atop {x=- \frac{1}{2}}} \right.$

4 0

3 years ago

Read 2 more answers

What is the range of the following function

Shtirlitz [24]

The answer: -5 ≤ y ≤ 6

The range is all the possible output or y values of the function.

Our first point is at (1, 6) and our second point is at (-4, -5)

That means our y values are 6 and -5. Let's set up a compound inequality to represent our function.

-5 ≤ y ≤ 6. This means that x is greater than or equal to -5 and less than or equal to 6.

7 0

3 years ago