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ratelena [41]
2 years ago
5

Keiko estimated the height of her office building to be 45 ft. The actual height of her office building is 42 ft

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
7 0

% error formula: | true value minus "your" (as in Keiko's) value | over true value, times 100.

so: 42 - 45 = 3 (it would be negative but we used absolute value, which is how it is supposed to be done. <u><em>3 is your absolute error</em></u>).

3/42 = 0.07143

0.07142 * 100 = <u><em>7.142%</em></u>. she was only 7.142% off from the right answer.

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Step-by-step explanation:

-3x - 7 = 23

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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
Which table shows a proportional relationship between x and y?
Semenov [28]

Answer:

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

<u>Table A</u>

\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}

These fractions are not equal. This is not proportional.

<u>Table B</u>

\frac{0.5}{1}=\frac{1}{2}  =\frac{3.5}{7} =\frac{4}{8}

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

<u>Table C</u>

\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}

These fractions are not equal. This is not proportional.

<u>Table D</u>

\frac{7}{2} \neq \frac{9}{3}\neq  \frac{11}{4} \neq \frac{13}{5}

These fractions are not equal. This is not proportional.

3 0
3 years ago
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