The formula of a slope:

95)

substitute:

96)

substitute:

97)

substitute:

OK. I think you already know how to solve it. I will give short solutions now.
98)

99)

100)

101)

102)

103)

104)

Answer:
Roots (It has a solution)
Step-by-step explanation:
One method to find out whether or not this equation has a solution or not is to try to solve for x..

As we could find a solution, it has a root.
The equation to your question would be P =10(c)+20. meaning 10 pencils in each box multiplied by the number of boxes (c) plus the 20 pencils the teacher gives her will equal the number of pencils (P) she has altogether. (C stands for the number of boxes and P stands for pencils)
so lets say she has 3 boxes. well, c stands for boxes soooo...... all you have to do is plug in 3 were c is. giving you this equation P = 10(3)+20. then all you have to do is solve. P = 10(3)+20
10 times 3 = 30 so P = 30+20
then add 30 and 20 P = 50 she has 50 pencils altogether
(remember this is just an example, 50 pencils is NOT the answer to your question. but you can use the equation i gave you to find your own answer!) :) Hope this helps!!
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
The probability is 3/6 (1/2) as there are 3 prime numbers on a dice (2,3,5) and also 3 odd numbers on a dice (1,3,5)