Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 √ 3 , − 2 √ 3
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
A = l*w
6112 = l*28
l = 6112/28
l = 218.2857143
Answer: Caribbean Paradise=196
Pacific Paradise=167
Mediterranean Paradise=653
Let's break it down.
The Caribbean Paradise has 29 more rooms deluxe staterooms than the Pacific Paradise.
Let's make C= Caribbean Paradise and P= pacific Paradise
C=P+29
The Mediterranean Paradise has 15 fewer deluxe staterooms than four times the number of deluxe staterooms on the pacific paradise
M=Mediterranean Paradise
M=(4*P)-15
Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1016
Okay so C+P+M=1016
So just combine the first two problems with the last
It changes into
(P+29)+P+M=1016
2P +29+M=1016
Then replace M
2P+29+4P-15=1016
Combine like terms
6P+14=1016
Then solve for P
6P+14(-14)=1016(-14)
6P=1002
6P/6=1002/6
P=167
Then plug in P=167 into your first two formulas
C=P+29
C=(167)+29
C=196
M=(4*P)-15
M=(4*167)-15
M=(668)-15
M=653
Answer: first option.
Step-by-step explanation:
Given the expression:
You need to remember the multiplication of signs:
Then, you know that:
So, an equivalent expression must have 
and 
. Let's check the expressions provided in the options:
You can observe that the equativalent expression is:
