Answer:
x= 1/2
Step-by-step explanation: 8x+3y=7
-(4x+3y=5)
4x=2, and you get x=1/2
Answer:
60:49
Step-by-step explanation:
1ft = 12in
5 x 12 = 60
60:49
They share no common factors so this is your final answer.
Answer:
8 = x
Step-by-step explanation:
all three sides are equal, so it is an equilateral triangle
if it is an equilateral triangle, each angle is 180/3 = 60 degrees
therefore
60 = 7x+4
subtract 4 from each side
60-4 = 7x+4-4
56 = 7x
divide by 7 on each side
56/7 = 7x/7
8 = x
Answer:
14a⁴b
Step-by-step explanation:
Factors of 28a⁴b⁸c7:
2²×7×a⁴×b⁸×c⁷
Factors of 98a⁵b:
2×7²×a⁵×b
For GCF collect the common factors:
2×7×a⁴×b
GCF = 14a⁴b
Answer:
a) 0.75
b) 0.0625
c) 0.1875
d) 0.375
Step-by-step explanation:
Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.
Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75
It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.
a) As given above, this probability is 0.75
b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625
c) Like in part (b), this is both of their probabilities multiplied:
0.25 x 0.75 = 0.1875
d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:
- First teacher gets 6 boxes, and the second gets 2.
- First teacher gets 2 boxes, and the second gets 2.
Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:
0.1875 + 0.1875 = 0.375
