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Kaylis [27]
3 years ago
12

There is 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made out of the leftover cake?

Mathematics
2 answers:
PIT_PIT [208]3 years ago
5 0

6/8 reduced is 3/4 so three 1/4 pieces of cake can be cut.

ikadub [295]3 years ago
4 0

3/4 because if you make it smaller you would get that

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Make 'y' the subject of the equation. g = 3y - 9.
Vikentia [17]

Answer:

y = \frac{g+9}{3}

Step-by-step explanation:

g = 3y -9

start by adding 9 to each side:

g + 9 = 3y

now divide by 3 on each side to get y alone:

y = \frac{g+9}{3}

hope this helps!

6 0
2 years ago
23,69,207 find the 7th term
sashaice [31]

Answer:

16,767

Step-by-step explanation:

Geometric sequence formula: an = ar^n-1

Now, we just plug in the values.

an = 23(3)^7-1

an = 23(3)^6

an = 23(729)

an = 16,767

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3 years ago
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1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa
Firdavs [7]

Answer:

0.0239\frac{in^{3}}{min}

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

r'=\frac{1/1000in}{3min}

which yields:

r'=\frac{1}{3000}\frac{in}{min}

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

V=\pi r^{2}h

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

V=\pi r^{2}(6)

or

V=6 \pi r^{2}

We can now take the derivative to this formula so we get:

\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}

Which simplifies to:

\frac{dV}{dt}=12\pi r \frac{dr}{dt}

We can now substitute the data provided by the problem to get:

\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})

which yields:

\frac{dV}{dt}=0.0239\frac{in^{3}}{min}

3 0
3 years ago
What is the greatest common factor of 3 and 27?
Drupady [299]

Answer:

3

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

8 0
3 years ago
Read 2 more answers
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