Answer:
Solutions:-5,0,9,6
Not solutions: 12.5,10
Explanation:
The inequality that was given is:
20 > 5 + 3x
First, group similar terms;
20 - 5 < 3x
15 < 3x
x = 5
Thus, the solutions are:-3.5, 5, 4 3/4, -15
The not solutions are:-10 2/3, 129,
Hope this helps! :)
A percent is a proportion of something that can come from a variety of different numbers depending on what you are measuring. 14.5% is not the same as 14.5 because the 14.5% isn’t necessarily 14.5 of a certain amount. For example, $14.50 of the $100 you have could be from your grandparents; making 14.5% of your money from your grandparents but a deposit of $145 into a bank account that already has $855 would mean that 14.5% of the money in that bank account was from that deposit but $145 does not equal $14.50. They just have the same proportion just different on different scales.
Hope this is what you were looking for.
Answer:
Let's say 50
Step-by-step explanation:
40% of 100 is 40
50% of 117 is about 59
so number should be a somewhere in between.
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°