Answer:
a = -9/20
Step-by-step explanation:
We can evaluate what’s on the left hand side of the equation to get what a is.
The numerator can be expressed as x^(4/5)
The denominator is x^5/4
we use the law of indices to finish this off
That would be;
x^(4/5) ÷ x^(5/4)
Using the second law of indices;
x^(4/5-5/4) = x^-9/20
Since the bases are now equal, then we equate the powers
Thus a = -9/20
Answer:
See below ~
Step-by-step explanation:
We need to represent the situations as inequalities.
===============================================================
<u>Students can work </u><u>no more than</u><u> 23 hours per week</u>
⇒ Let the hours per week be x
⇒ 'no more than' refers to less than or equal to (≤)
⇒ x ≤ 23
=============================================================
<u>Tutors are required to spend </u><u>at least</u><u> 2 hours per week</u>
⇒ At least refers to greater than or equal to (≥)
⇒ x ≥ 2
============================================================
<u>Tutors should spend </u><u>no more than</u><u> 7 hours per week</u>
⇒ As mentioned before, no more than refers to less than or equal to (≤)
⇒ x ≤ 7
divide each term by -6
x<-7
then convert in to interval
Answer:
B
Explanations
in this case the hypotenuse is 10,x is the adjacent side of the angle 37
therefore you have to use cos
cos37=x/10
x=7.9
=8
I hope this helps
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%.
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
