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Leto [7]
3 years ago
8

Help ASAP 40 Points and Brainliest

Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

Answer:

Volume of a cup

The shape of the cup is a cylinder. The volume of a cylinder is:

\text{Volume of a cylinder}=\pi \times (radius)^2\times heightVolume of a cylinder=π×(radius)

2

×height

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3Volume of the cup=π×(1in)

2

×4in≈12.57in

3

2. Volume of the sink:

The volume of the sink is 1072in³ (note the units is in³ and not in).

3. Divide the volume of the sink by the volume of the cup.

This gives the number of cups that contain a volume equal to the volume of the sink:

\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups

12.57in

3

Step-by-step explanation:

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Factor the following expression using Reverse Distribution:<br> 6n-24
harkovskaia [24]

Answer:C 2(3n + 12)

Step-by-step explanation:

2 x 3n = 6n

2 x 12 = 24

8 0
3 years ago
Could someone help me please if you don’t mind thank you so much!
Marina86 [1]

Answer:

m = 11

Step-by-step explanation:

Given

\frac{2}{5} (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

6 0
3 years ago
PLEASE PLEASE HELP
marta [7]

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

f(t)=a(r)^t

In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.

Our initial amount <em>a </em>is 185 grams.

So, by substitution, we have:

\displaystyle f(t)=185\big(\frac{1}{2}\big)^t

Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.

We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:

\displaystyle f(6)=185\big(\frac{1}{2}\big)^6

Evaluate:

\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3

So, after six half-lives, there will be approximately 3 grams left.

3 0
3 years ago
The ratio of two computers is 3:2.
serious [3.7K]

Answer:

1. $82,500

2. 169 : 110

Step-by-step explanation:

The computation is shown below:

Given that

1. Ratio between two computers is 3:2

And the first computer cost is $55,000

Let us assume the price of the second computer be x.

As we know that

Product of extremes = Product of mean.

2 : 3 :: 55000 : x .

Now cross mutiplication is to be done

2x = $55,000 × 3

x = $1,650,000 ÷ 2

= $82,500

2. Now if the price of the 2nd computer rised by $2,000

So the new cost would be

= $82,500 + $2,000

= $84,500

Now the ratio would be

= $55,000 :  $84,500

= 169: 110

8 0
3 years ago
What is 10+√50<br> -----------<br> 5
zubka84 [21]

Answer:

70.7

Step-by-step explanation:

I put it all together and got 70.7106781187 i cut it

to 70.7

6 0
3 years ago
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