First, convert 23% into a fraction.
23% =
Now the expression to determine 23% of 122 is
Divide commission amount by percentage:
83.50 / 0.40 = 208.75
Sales must be $208.75
The answer
to do the calculus, the method is
taking off the paranthesis
adding the term with a similar degree
summing constant terms
(3x^2+3x+5) + (7x^2-9x+8) =
= 3x^2+3x+5 + 7x^2-9x+8
= 3x^2 + 7x^2 + 3x+5 - 9x+8
= 10x² + 3x - 9x +5 +8
= 10x² - 6x + 13
the answer is
(3x^2+3x+5) + (7x^2-9x+8) =10x² - 6x + 13
the error that Lucia did make 3x - 9x = -12x, instead of 3x - 9x = -6x
Answer:
Step-by-step explanation:
First, let's check side lengths.
Using the Pythagorean theorem we can find the length of the other side of the rectangle.
a^2 + b^2 = c^2
4.2^2 + b^2 = 8.6^2
b^2 = 56.32
b = 7.5
The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.
For the angle in question, the 4.2 cm side is the adjacent leg.
The diagonal of 8.6 cm is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
Answer:
6 ≤ b.
(6).
Step-by-step explanation:
So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.
Also, "She can earn $25 cutting a lawn in her neighborhood."
Therefore, the total amount of money she wants to save = a = 500. Then,
Total amount of money, a = 350 + 25b.
500 = 350 + 25b.
=> 500 ≤ 350 + 25b.
Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.
Hence, the amount remaining for it to complete is $150. Therefore;
150 ≤ 25b.
6 ≤ b.
Thus, Myra will have to mow at least 6 lawns
