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2 years ago

13

At president Lincoln's inauguration in 1861, the newspaper headlines. stated there were about 30,000 people in attendance. if th

e newspaper rounded to the nearest thousand,what is the largest number and smallest number of people that could have be

1 answer:

jek_recluse [69]2 years ago

6 0

34,999 for the largest and 25,001 for the smallest, if you go to that 1 person extreme.

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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.

<h2>Why?</h2>

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

Adrian's annual income changes every year because of the following three factors: On average, his salary is 1.2 times the previo

olya-2409 [2.1K]

In this question, Adrian initially has $52,000 and his salary is 1.2 times the previous year's salary. This means the income should look like this:52000*1.2^n

30% of his income is budgeted for rent, then the equation should look like this: 30% * income= 30%*(52000*1.2^n)

Adrian's income increases by $2,300 each year as a result of gifts will make this equation:2300n

if you put the 3 equation together you will get
f(n)= 52000*1.2^n - 0.3(52000*1.2^n) +2300n
f(n)= 36400*1.2^n +2300n

7 0

2 years ago

What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?

Leya [2.2K]

L = 15
w = 12
h = 8

Surface Area = 2(lw + wh + lh)
S.A. = 2(15*12 + 12*8 + 15*8)
S.A. = 2(180 + 96 + 120)
S.A. = 2(396)
S.A. = 792 cm^2

7 0

2 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

Sergeeva-Olga [200]

(A) 1.8

The difference is 18, 13 is bc the tenth term so divide 18 by 10 to get 1.8

7 0

2 years ago

There are total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotic

jeka57 [31]

84 divided by 2 is 48
one set of 48-12 is 36
36 students are in the science club

7 0

3 years ago

Read 2 more answers