Answer:
80
Step-by-step explanation:
7x +3 = 5x + 25
2x + 3 = 25
2x = 22
x = 11
Answer:
x-(x times 33%) or x times (100-33)%
Step-by-step explanation:
Answer:
{GT, GH, BT, BH, RT, RH};
1 /5;
Mutually exclusive ;
Not mutually exclusive.
Step-by-step explanation:
Given :
Green cards, G = 4
Blue cards, B = 4
Red cards, R = 2
For a coin toss :
{H, T}
A card is picked, then a coin is tossed :
Sample space :
{GT, GH, BT, BH, RT, RH}
2.) probability of picking a green card, then probability of landing a head on a coin toss
P(A) = number of required outcome / Total possible outcomes
P(A) = P(green card) * P(Head)
P(A) = (4 / 10) * (1/2)
P(A) = 4 /20
P(A) = 1/5
C.)
Both A and B are mutually exclusive, since both event A and event B cannot occur together, since both red and green cannot be picked during a single pick, this either a red is picked or green is picked, then they are A and B are mutually exclusive.
D.) Event A and C are not mutually exclusive, picking a green card, event A and picking a red or blue card, event B. Both event can happen simultaneously, hence, event A and B are not mutually exclusive.
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

Find common factors between 4 and 120 to simplify, so 4.

Now multiple across to get 90.
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?