Answer:A= 7
Step-by-step explanation:
y=mx+b
512=114x+134
subtract 134 from both sides of the equation,
378=114x
Divide 144 from both sides of the equation to get x by itself
x=6.25
you'll round up because you can't really have a quarter day.
A= 7
Not quite sure what you mean by brackets, but you can get the solution to this equation in a few steps:
<span>(-2x - 1)</span>² <span>= 0 ... square root both sides to eliminate the squared binomial
</span>√(-2x - 1)² = √0 ... simplify; the square is canceled out and the root of 0 brings you back to 0
-2x - 1 = 0 ... solve like a two-step equation
-2x = 1
x = -1/2 is your x-value.
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".
18 + 15 + 27 + 10 = 70.
Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.
6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = 5y
xy = 320
Substitute the first equation into the second equation
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)
The integers are (x, y) = (40, 8).
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200