Answer:
5
Step-by-step explanation:
If the contestant has 9 minutes for 45 hotdogs, then you would have to divide 45 by 9 to get the answer. 45 divided by 9 is 5.
Then, to see if your answer makes sense, you would multiply 9 by 5 to see if you get 45, which you do.
Answer:
$1.75
Step-by-step explanation:
1 pound of carrot and 1.5 pounds of squash cost $7.00.
1c + 1.5s = 7 ----------------- [ 1 ]
4.5 pounds of carrot and 1.75 pound of squash cost $14.00.
4.5c + 1.75s = 14 ----------------- [ 2 ]
<u>[ 1 ] x 4.5:</u>
4.5c + 6.75s = 31.5 ----------------- [ 1a ]
<u>[1a] - [2]:</u>
5s = 17.5
s = $3.50
<u>Sub s = 3.5 into [ 1 ]:</u>
1c + 1.5 (3.5) = 7
1c + 5.25 = 7
1c = $1.75
Answer:
50% change in volume
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes.</h2>
In this problem we are to find the volume of the first cylinder and compare with the second cylinder.
Given data
Volume v = ?
Diameter d=
?
Radius r = 
Height h= 
we know that the volume of a cylinder is expressed as
Substituting our given data we have
The first cylinder as a volume of 
The change in volume is 
percentage = 
%
Answer:
Step-by-step explanation:
<u>Given equation:</u>
- x² + y² + 8x - 4y - 7 = 0
<u>Convert this to standard form by completing the square:</u>
- (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
- x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
- (x + 4)² + (y - 2)² - 27 = 0
- (x + 4)² + (y - 2)² = 27
- (x + 4)² + (y - 2)² = (√27)²
The center is (- 4, 2) and the radius is √27
