(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 ×
= 32 orange marbles
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Total area of square inches = 400
The area of the large circle = 314
Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,
Let E be the event the Trisha will get points .
so,

As we know that

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22
So, First option is correct.
The sum of two sides of a triangle must be greater than the third side
1) 5+9>14
14>14 It is incorrect so you can’t have these lengths
2)7+7>15
14>15 X
3)1+2>4
3>4 X
4)3+6>8
9>8
6+8>3
14>3
8+3>6
11>6
So the fourth choice is correct
Answer:
Given that x=5, when we substitute in 5 for 2x + 3 = 13, the equation will turn out to be true.
Step-by-step explanation:
2x + 3 = 13 x=5
2(5)+3=13
10+3=13
13=13