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3 years ago

9

a popular extreme sport is artificial wall climbing. a climber is resting at a height of 15 feet while on a climbing tower. if t

his is 30% of the towers total height find the height of the tower

1 answer:

Nimfa-mama [501]3 years ago

4 0

Let x be the height of the tower. This tower height represents 100% of the height while 15 ft height represents 30% (as indicated in the question).

This is a question of proportionality. That is;

15 ft ---- 30%
x ft ---- 100%

Therefore,
x*30 = 15*100
x = (15*100)/30 = 50 ft

The height of the tower is 50 ft.

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atroni [7]

Point-slope
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3 years ago

Josie is making pizza dough. Complete the double number line by filling in the missing values

Softa [21]

Answer:

$n = \frac{4}{3}c$

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

$(c_1,n_1) = (\frac{3}{4},1)$

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First, calculate the rate of change (i.e. slope, m):

$m = \frac{n_2 - n_1}{c_2 - c_1}$

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$m = \frac{4}{3}$

So: the equation is:

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This gives:

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<u>To complete the table</u>

When $n = 2$

Substitute $n = 2$ in: $n = \frac{4}{3}c$

$2 = \frac{4}{3}c$

Make c the subject

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Substitute $n = 3$ in: $n = \frac{4}{3}c$

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Make c the subject

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When $c=3$

Substitute $c=3$ in: $n = \frac{4}{3}c$

$n = \frac{4}{3} * 3$

$n = 4$

So, the complete table is:

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

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