Answer:
1x+ 1y =11
10x + 5y = 80
x = the cost of a taco = $5
y = the cost of a burrito = $6
Step-by-step explanation:
x = the cost of a taco
y = the cost of a burrito
1x+ 1y =11
10x + 5y = 80
rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:
10x + 5( 11-x) = 80 distribute left side
10x + 55 - 5x = 80 combine like terms
10x - 5x = 5x
5x + 55 = 80 subtract 55 from both sides
5x = 80 - 55
5x = 25 divide by 5
x = 5
plug in for y in 1st equation y = 11--x =11-5 = 6
<span>34 inches</span>
Explanation:
There are 12 inches to 1 foot. So for 2 feet we have 2 lots of 12
So we have:
<span><span>(2×12)</span> inches +10 inches</span>
<span>24+10 inches</span>
<span>34<span> inches</span></span>
Answer:
hello your question is incomplete here is the complete question
Use cylindrical coordinates Find the volume of the solid that lies within both the cylinder x^2 + y^2=16 and the sphere x^2 + y^2 + Z^2= 81
Answer : ![\frac{4 \pi }{3} [729 - 65\sqrt{65} ]](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5Cpi%20%7D%7B3%7D%20%5B729%20-%2065%5Csqrt%7B65%7D%20%5D)
Step-by-step explanation:
The given data
cylinder = x^2 + y^2 = 16
sphere = x^2 + y^2 +z^2 = 81
from the given data the solid is symmetric around the xy plane hence we will calculate half the solid volume above the plane then multiply the sesult by 2
Note : we are restricting our attention to the cylinder x^2 + y^2 = 16 and also finding the volume inside the sphere which gives bound on the z-coordinate as well
the r parameter goes from 0 to 4
ATTACHED IS THE REMAINING PART OF THE SOLUTION
showing the integration
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
Answer:
y=2x+7
Step-by-step explanation: