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A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters.
What number of actual meters are represented by 18 centimeters on the blue print?
meters

A scale on a blue print drawing of a house shows that $10$ centimeters represents $2$ meters. $\newline$ What number of actual meters are represented by $18$ centimeters on the blue print? $\newline$ meters

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Scale drawings: word problems

Full solution

Q. A scale on a blue print drawing of a house shows that

10

centimeters represents

2

meters.

\newline

What number of actual meters are represented by

18

centimeters on the blue print?

\newline

meters

Identify Scale and Measurement: Identify the given scale and the measurement on the blueprint. The scale given is $10$ centimeters represents $2$ meters. Measurement on the blueprint is $18$ centimeters.
Set Up Proportion: Set up a proportion to find out how many meters $18$ centimeters represent. $\newline$ If $10$ centimeters represent $2$ meters, then $1$ centimeter represents $\frac{2}{10}$ meters.
Calculate Meters: Calculate the number of meters that $18$ centimeters represent. $\newline$ Number of meters = $(18 \text{ centimeters}) \times (2 \text{ meters} / 10 \text{ centimeters})$
Perform Calculation: Perform the calculation. $\newline$ Number of meters = $18 \times (2 / 10)$ $\newline$ Number of meters = $18 \times 0.2$ $\newline$ Number of meters = $3.6$

More problems from Scale drawings: word problems

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\newline

Assuming the rope makes a perfect circle, what is the length of this rope?

\newline

Give your answer in terms of pi.

\newline

\square

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Give your answer in terms of pi.

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Give your answer in terms of pi.

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A=\square

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\text{ }

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\text{ }

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\text{ }

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\text{ }

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Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

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did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

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Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

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and her balance at the end of three years,

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. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

Posted 1 month ago

Question

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Posted 1 month ago

Question

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

Posted 1 month ago

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