First get rid of the exponent: 6x + 3 = 243. then subtract 3 from both sides: 6x = 240. lastly divide both side by 6: x = 40. be sure to check your work by plugging it back in.


You changed the mixed numeral into a fraction correctly.
Now you need to multiply the fractions.
Multiply the numerators together, and multiply the denominators together.

Now we could multiply out the numerator and denominator, and then we'd need to reduce the fraction, but before we multiply, we see there is a factor of 5 both in the numerator and in the denominator, so we can reduce before we multiply.


Answer:
The correct answers are a. Independent; b. Independent; c. Independent; e. Not Independent
Step-by-step explanation:
a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.
b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.
c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.
e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.
Answer:
y=2x
Step-by-step explanation:
Every y value is double the x value on top.
y=6:
6 = 3 × ?
? = 2
y=10:
10 = 5 × ?
? = 2
And so on....
So the equation that represents this data is :
y=2x