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3 years ago

1/3 x 20/9 can you help me please

Mathematics

2 answers:

ruslelena [56]3 years ago

7 0

The answer is to the equation is 20/27

jeka57 [31]3 years ago

6 0

1 x 20 = 20
- —- ——-
3 x 9 = 27

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An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet

drek231 [11]

<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

$Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h$

Where,

$r=radius=\frac{diameter}{2}\\h=height$

We are given the old can dimensions:

$radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm$

So, calculating the volume, we have:

$Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}$

We have that the volume of the old can is:

$Volume_{Can}=199.7cm^{2}$

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

$radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm$

Calculating we have:

$Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}$

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

$\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7$

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0

3 years ago

Solve the equation. <br> -4/3(9-2k)=1/2(1/3k+1)

zmey [24]

Answer:

There is no solution.

8 0

3 years ago

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dangina [55]

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4 0

3 years ago

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Here are the correct answers for these questions below<br> A = 028<br> B = 210

Fynjy0 [20]

Umm...... Okay then..?

7 0

3 years ago

For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, comput

ch4aika [34]

Answer:

0.0157

Step-by-step explanation:

From the information given:

The sample size = 70

The expected no. of days of year that are birthday of exactly 4 people is: $P = \bigg [ \dfrac{1}{365} \bigg]^4$

The expected number of days with 4 birthdays = $\sum \limits ^{365}_{i=1} E(x_i)$

$\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg]$

$\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg]$

$\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg]$

= 0.0157

Therefore, the required probability = 0.0157

8 0

3 years ago