Answer:
a = -3
Step-by-step explanation:
Solve for a:
2 (a + 5) - 1 = 3
Hint: | Distribute 2 over a + 5.
2 (a + 5) = 2 a + 10:
(2 a + 10) - 1 = 3
Hint: | Group like terms in 2 a - 1 + 10.
Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):
(2 a + (10 - 1)) = 3
Hint: | Evaluate 10 - 1.
10 - 1 = 9:
2 a + 9 = 3
Hint: | Isolate terms with a to the left hand side.
Subtract 9 from both sides:
2 a + (9 - 9) = 3 - 9
Hint: | Look for the difference of two identical terms.
9 - 9 = 0:
2 a = 3 - 9
Hint: | Evaluate 3 - 9.
3 - 9 = -6:
2 a = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 a = -6 by 2:
(2 a)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
a = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: a = -3
As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.
Answer:
The area is 21 inches
Step-by-step explanation:
3x3=9
3x2=6
9+6=15 ( inches in the white box )
6x6=36 ( area of the whole box)
36-15= 21 ( inches in the shaded area )
Answer:
Use what you used for the first one and you should get the right answer.
Step-by-step explanation:
Answer:
0.4%
Step-by-step explanation:
In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.
This probability would be the amount of dimes divided by the total number of coins, as follows:
Total coins = 10 + 8 + 2 = 20 coins.
So the probability would be: 8/20 = 2/5
The final probability would then be:
(2/5) ^ 6 = 0.004
In other words, the probability of this event occurring 6 times in a row is 0.4%
