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3 years ago

the ratio of red marbles to blue marbles in a bag is 3:4 . what is a possible total number of marbles?

1 answer:

5 0

There are a lot of possible total amount of numbers for this ratio. But any multiple of 7 will do. So just say 7, or 14, or 21.

If you choose 7, there will be 3 red marbles and 4 blue marbles. If you choose 14, there will be 6 red marbles and 8 blue marbles. If you choose 21, there will be 9 red marbles and 12 blue marbles. And the list goes on.

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One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.

gregori [183]

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

3y+y = 15

4y = 15

y = 15/4

x = 3(15/4)

x = 45/4

The two numbers are 15/4 and 45/4

8 0

2 years ago

Read 2 more answers

4 Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket salesfor

Kitty [74]

$10.50a + $3.75b = $2,071.50 It is given that b = 82 Therefore - $10.50a + ($3.75)(82) = $2,071.50 or $10.50a + $307.50 = $2,071.50 $10.50a = $2,071.50 - $307.50 = $1,764.00 Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets

4 0

3 years ago

Read 2 more answers

Round 87590 is nearest 1000 you will get

Diano4ka-milaya [45]

Answer:

88,000

Step-by-step explanation:

The number in the thousands is 7. If we look at the hundreds, it has a 5. 5 or more means to round up. So, rounding up the 7 gives us 8. Then, we make all the numbers past the 1000's place 0's. So, we are therefore left with 88,000.

Hope this helps! :D

3 0

2 years ago

Read 2 more answers

A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.

iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 $m/s^2$

<u>Given the following data:</u>

Mass of bookshelf = 51.5 kilogram

Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

$Acceleration = \frac{Net\;force}{Mass}$

Substituting the given parameters into the formula, we have;

$Acceleration = \frac{67}{51.5}$

Acceleration = 1.30 $m/s^2$

Read more on net force here: brainly.com/question/1121817

7 0

2 years ago

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t

gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

4 0

3 years ago