Ask question

Ask question

All categories

2 years ago

15

Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1

inch represents 25 feet. What is the height in inches of troy's drawing

1 answer:

sergiy2304 [10]2 years ago

3 0

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = $\frac{1}{25}\ inches$

305 feet = $\frac{1}{25}*305 \ inches$

305 feet = $\frac{305}{25}\ inches\\$

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

#LearnwithBrainly

You might be interested in

A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If

Alika [10]

Let

a--------> the total cost in dollars of $6$ ounces of coconut oil

b--------> the total cost in dollars of $5$ ounces of beeswax

we know that

$a=0.50 \frac{\$}{ounce}*6=\$3$

$b=2.00 \frac{\$}{ounce}*5=\$10$

therefore

<u>the answer is</u>

the total cost in dollars of $6$ ounces of coconut oil is $a=\$3$

the total cost in dollars of $5$ ounces ofbeeswax is $b=\$10$

7 0

2 years ago

Read 2 more answers

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63

tester [92]

Answer:

Length of package can be = 22 inches

Step-by-step explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be = $l$ inches

Let girth length of package be = $g$ inches

Sum of length and girth of package = $(l+g)$ inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

$l+g\leq 85$

We are given girth of package is = 63 inches

So, inequality to find length would be:

$l+63\leq 85$

Subtracting both sides by 63.

$l+63-63\leq 85-63$

$l\leq 22$ inches

So, length should not exceed 22 inches in order to qualify.

Thus, the maximum length of package to qualify for the postal rate must be = 22 inches

3 0

2 years ago

Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?

Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three $4\frac{1}{2}$ oz cans and five $8\frac{1}{4}$ oz cans.

To find : How many ounces of tomatoes does Mark need?

Solution :

Mark has three $4\frac{1}{2}$ oz cans.

i.e. $3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}$

Mark has five $8\frac{1}{4}$ oz cans.

i.e. $5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}$

Total ounces of tomatoes does Mark need is

$T=\frac{27}{2}+\frac{165}{4}$

$T=\frac{54+165}{4}$

$T=\frac{219}{4}$

$T=54.75$

Therefore, 54.74 ounces of tomatoes mark need.

7 0

2 years ago

Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the

solong [7]

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

On each half of the board, the number 2 is written.
On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.
Adeline does the same on each signal, except that she multiplies by 2.
The teacher gives 10 signals in total.

Consider the numbers on each half of the board:

Ivan Adeline

2 2

2 × -2 = -4 2 × 2 = 4

-4 × -2 = 8 4 × 2 = 8

8 × -2 = -16 8 × 2 = 16

-16 × -2 = 32 16 × 2 = 32

32 × -2 = -64 32 × 2 = 64

-64 × -2 = 128 64 × 2 = 128

128 × -2 = -256 128 × 2 = 256

-256 × -2 = 512 256 × 2 = 512

512 × -2 = -1024 512 × 2 = 1024

-1024 × -2 = 2048 1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

6 0

2 years ago

In triangle ABC AD/DB = CE/EB. Complete the proof showing the segment DE is parallel to segment AC.

Natasha_Volkova [10]

Answer:

1. $\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1$

2. Addition property of equality

Step-by-step explanation:

In triangle ABC,

$\dfrac{AD}{DB}=\dfrac{CE}{EB}.$

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true.

Use addition property of equality, add 1 to both sides of previouse equality:

$\dfrac{AD}{DB}=\dfrac{CE}{EB}\\ \\\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1\\ \\\dfrac{AD+DB}{DB}=\dfrac{CE+EB}{EB}$

5 0

2 years ago