Answer:

Step-by-step explanation:
we know that
The equation of the line in standard form is in the form

where
A is a positive integer, and B, and C are integers
In this problem we have
----> equation of the line in slope intercept form
Convert to standard form
Multiply by 5 both sides


Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.
<u>Solution:</u>
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,


On writing the proportion,

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
<em>26</em>
- Step-by-step explanation:
<em>- 4x + 3y + z =</em>
<em>= -4(-5) + 3(2) + 0</em>
<em>= 20 + 6 + 0</em>
<em>= 26</em>
<em />
Answer:
117.16
Step-by-step explanation:
Multiply 101 by .16 and then you add it to 101.