All categories

3 years ago

A scooter is 3 1/2 feet long. Find the length of a scale model of the scooter if the scale is 1 inch = 3/4 feet.

Mathematics

1 answer:

Dmitrij [34]3 years ago

3 0

Answer:

4 2/3

Step-by-step explanation:

42 in / 9in = 42 / 9 = 4 2/3

You might be interested in

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

3 years ago

There are 5 girls and 1 boy taking swimming lessons. The ratio that compares the number of girls taking

Sergio [31]

Answer:

5:6

five of the 6 students are girls

5/6

Step-by-step explanation:

Not sure if these are the three different ways you wanted, but all of these represent the number of girls compared to the total number of students.

5 0

3 years ago

How do you solve -10x+2(3x+5)=-2x? 4(5x-12)-7x=5x?

Serjik [45]

For the first one I got X=5
and for the second one I got X=6

6 0

3 years ago

Pls help meee!!

maksim [4K]

Answer:

7*6-x

42-x

Step-by-step explanation:

decrease means subtraction,

product means multiplication

let x be the number you are decreasing by.

I am not really sure how to explain this, but here I go.

you take away x from the number that equals 6*7.

6*7 is 42 and you take away x from that, you get 42-x

or if you want to leave it unsimplified,

6*7-x

8 0

3 years ago

Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?

Alexxandr [17]

Sadly, you didn't put any sums on your list of choices.
In fact, I can't even find a list of choices !

To find the distance between (7, -1) and (-8, -9),
you would build a sum under a square-root (radical)
symbol, and it would look something like this:

√ ( 225 + 64 ) .

5 0

4 years ago

Read 2 more answers