What is the volume of a sphere with a surface area of 9

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0

3 years ago

You hate it when rabbits run into your yard and eat your garden. to prevent this you can rent a wolf to scare the rabbits at Wol

Natalka [10]

At Wolf-M-Up, Cost = 17.50 + 2.25(number of days)

At Fangs-R-Us, Cost = 24.25 + 1.5(number of days)

The costs are the same when [ 17.50 + 2.25 D = 24.25 + 1.5 D ].

Subtract 1.5D from each side: 17.50 + 0.75 D = 24.25

Subtract 17.50 from each side: 0.75 D = 6.75

Divide each side by 0.75 : D = 9 days

Substitute 9 for the number of days at either company,
and the cost is $37.75 .

If you only want the wolf for a few days, then Wolf-M-Up is cheaper.

If you plan to keep it for more than 9 days, then Fangs-R-Us will cost less.

For exactly 9 days, both wolves will cost the same $37.75 .

3 0

3 years ago

Find the zeros and verify x^2 +2x-180

Arada [10]

Answer:

Rounded to the nearest tenth they are -14.5 and 12.5

Step-by-step explanation:

The zeros of a function are the x-intercepts or roots where the function crosses the x-axis. To find them, graph the function x^2 +2x-180 and zoom in on the x-axis.

See attached picture.