Step-by-step explanation:
56.30
With a calculator, press second or shift and then tan to find the degrees.
Answer:
x = 2
Step-by-step explanation:
I used the process of substitution to do this.
<em>1. put </em><em>both</em><em> equations into </em><em>slope-intercept form:</em>
y = 3x - 5
y = -2x + 5
<em>2. since they </em><em>both equal y</em><em>, they must </em><em>equal each other:</em>
3x - 5 = -2x + 5
<em>3. </em><em>simplify:</em>
2 = x
<em />
<em />
25.50 = 7d + 2p
52.50 = 5d + 10p
These are the two equations we're going to use to determine the price of popcorn.
First we need to eliminate one set of variables. Let's eliminate the drinks.
127.50 = 35d + 10p
-367.50 = -35d + -70p
-240 = 0d - 60p
-240 = -60p
P = 4.00
So, popcorn is $4, right? Let's keep working on the problem so we can double check...
So, now let's add the $4 as the variable for P.
25.50 = 7d + 8
52.50 = 5d + 40
17.50 = 7d
12.5 = 5d
d = 2.5
d=2.5
This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00
Popcorn is $4.00, drinks are $2.50
<em>Hope I could help! :) </em>
Answer:
Step-by-step explanation:
![\displaystyle \sqrt[3]{-\frac{1}{125} }](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5B3%5D%7B-%5Cfrac%7B1%7D%7B125%7D%20%7D)
Distribute the cube root to the numerator and denominator.
![\displaystyle -\frac{\sqrt[3]{1} }{\sqrt[3]{125} }](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B%5Csqrt%5B3%5D%7B1%7D%20%7D%7B%5Csqrt%5B3%5D%7B125%7D%20%7D)
Solve for the cube root.
