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2 years ago

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A model of the is 2.9 ft tall and 1.2 ft wide. The Eiffel Tower is actually 410 ft wide. What is the actual height of the Eiffel

Tower?

1 answer:

AVprozaik [17]2 years ago

5 0

By setting up proportions and cross multiplying, the height would be 990.8.

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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

$\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5$

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

$\dfrac{1116.5+r}{12}=98.04$

We can now solve for r algebraically, first by multiplying both sides by 12:

$1116.5+r=98.04(12)\\1116.5+r=1176.48$

And then subtracting 1116.5 from both sides:

$r=1176.48-1116.5\\r=59.98$

6 0

2 years ago

Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length

nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

$\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}$

Upon substituting our given values in above equation, we will get:

$\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}$

$\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}$

$\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4$

$\text{Height of statue}=272\text{ inches}$

Therefore, the height of the statue is 272 inches.

5 0

2 years ago

Can someone please tell me that answer in simplest form

Bezzdna [24]

The answer in simplest for would be 7/8. What you basically do is multiply 7/10 by the reciprocal of 4/5 and that gives u the answer.

5 0

3 years ago

Read 2 more answers

Use the equation n= b-4 to find the value of n when b=9

Valentin [98]

Put 9 in for b

N=9-4

N=5

6 0

2 years ago

Simplify the expression<br>(-n³+8)+(-n³+5)<br>

Novosadov [1.4K]

When simplified the answer is -2n^3+13

8 0

3 years ago

Read 2 more answers