Answer:
see below
Step-by-step explanation:
10 are blue, 30 are yellow, 20 are red, and 40 are green.
There are 100 marbles in the bag
The color that has the most marbles is green
P( green) = 40/100 = 40%
P( yellow) = 30/100 = 30%
P( red) = 20/100 = 20%
P( blue) = 10/100 = 10%
You will be more likely to pick a green marble
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write

⇒ x = 4 inches. (Answer)
A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into

form. If everything is the same, you know it will have infinite solutions.
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-

here,
- n is the number of terms
- a is the first number of the series
- an is the last number of the series
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25




So, the value of S comes out to be 325.