X +5 = -6x - 16
add 16 to both sides
x+21 = -6x
add 6x to both sides
7x+21=0
factor out the seven
7(x+3)=0
if 7 times (x+3) = 0 then (x+3) must equal zero because 7 times 0 is 0
so x+3=0
subtract three from both sides
x= -3
Answer:
452.16 in³
Step-by-step explanation:
A volcano is an inverted cone and with that, the volume can be solved through the equation,
V = (1/3)(area of the base)(height)
We solve the area of the base first,
area of the base = (pi)(r²)
= 3.14(6 in)²
= 113.04 in²
Substituting these calculated values and the other givens above to the first equation,
V = (1/3)(113.04 in²)(12 in) = 452.16 in³
Thus, the volume of the model is approximately equal to 452.16 in³.
Answer:
*Scratches head..... This is to hard.
Identify the slope of the equation, substitute by distribution I think, substitution for given point coordinates the y-intercept and combined like terms. And rewrite the equation in y-intersect form. I think this is write, have a great day!
First you must see how many seats were bought. To do this you must make a proportion

80 is a percent and percent's are always taken out of the 100. This means that one proportion will have 80 as the part and 100 as the whole
We want to know what 80% of 2,500 is in order to find how many seats were sold before the show. This means 2,500 is the whole and the unknown (let's make this x) is the part.
Here is your proportion:

Now you must cross multiply
x*100 = 80*2,500
100x = 200,000
To isolate x divide 100 to both sides
100x/100 = 200,000/100
x = 2,000
This means that before the night of the concert 2,000 seats were bought.
We are still not done with this problem because we want to know how many seats are left the night of the concert. To find this simply subtract 2,000 from the number of original seating (2,500)
2,500 - 2,000 = 500
On the night of the concert there were 500 seats left.
Hope this helped!
~Just a girl in love with Shawn Mendes