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liraira [26]
3 years ago
11

In the morning, sophie goes to the store the goes to school. In the afternoon she goes from school to her house. The map shows t

he distance between school and home as 5 cm. If every 4 cm on the scale drawing equals 8 kilometers, how far apart are sophies home and school.
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

10 km

Step-by-step explanation:

If 4 cm represents 8 kilometers then 1 cm represents;

8 / 4

= 2

1 cm : 2 km

How, then, about 5 cm – the distance between Sophie's home and school?

5 cm : ? km

A cross multiplication;

1 cm : 2 km

5 cm : x km

(5 * 2) = 1 x

x = 10/1

x = 10

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2/3x − 1/5x = x −1 equals what? I'm confused on this
Galina-37 [17]

Answer:

x=15/8

Step-by-step explanation:

8 0
2 years ago
5. You are scheduling your classes for next year. There are 4 required classes: a physical education
puteri [66]
<h3>Answer:   450</h3>

==============================================

Explanation:

For now, let's consider we can only select 2 classes instead of 4. Let's say we only had to worry about PE and history.

Let A,B,C,D,E represent the five PE classes.

Let F,G,H,I,J,K represent the six history classes.

If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

-------------------------

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

5 0
2 years ago
Pipe leaks 1.5 gallons a day how much in a week
qwelly [4]
Well, that would be 1.5x7.. which is 10.5 :) your welcome
5 0
3 years ago
Read 2 more answers
~~~15 POINTS~~~<br> Please help me with this question.
Step2247 [10]
Divide the actual building's measurements by the replica's measurements.

\frac{400}{20}=20\\\\\frac{320}{16}=20

The measurements of the actual building are divided by 20 not 12.
The crew member's calculation is incorrect.
7 0
3 years ago
Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r
lakkis [162]

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

E_2 = (\frac{4}{5})^{-1} = 1.25

For the next unique toy, there is now a 3 in 5 chance of getting it:

E_3 = (\frac{3}{5})^{-1} = 1.67

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

E_4 = (\frac{2}{5})^{-1} = 2.5

Finally, there is a 1 in 5 chance to get the last unique toy:

E_5 = (\frac{1}{5})^{-1} = 5

The expected number of boxes to obtain a full set is:

E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes

5 0
2 years ago
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