J = K+6
K + J = 4K
<span>Replace J in the second equation </span>
K + (K + 6) = 4K
K + K + 6 = 4K
2K + 6 = 4K
Subtract 2K from each side
6 = 2K
Divide both sides by 2
K=3
<span>So, Keisha is 3 and therefore John is 9 because 3 + 6=9</span>
Answer:
Step-by-step explanation:
GIVEN: Suppose you want to make a cylindrical pen for your cat to play in (with open top) and you want the volume to be cubic feet. Suppose the material for the side costs per square foot, and the material for the bottom costs per square foot.
TO FIND: What are the dimensions of the pen that minimize the cost of building it.
SOLUTION:
Let height and radius of pen be
Volume
total cost of building cylindrical pen
for minimizing cost , putting
Hence the radius and height of cylindrical pen are and respectively.
Answer:
2x + 4y = $50
x = $5, and y = $10
Step-by-step explanation:
let the price of student's ticket be represented by $x, and that of adult by $y. So that:
2x + 4y = $50 ................ 1
But, given that adult tickets are $5 more that student tickets.
i.e y = x + $5 ................. 2
Substitute equation 2 into 1, to have;
2x + 4(x + $5) = $50
2x + 4x + $20 = $50
6x = $30
x = $5
From equation 2,
y = 5 + 5
= $10
Therefore, the price of student tickets is $5 and adult tickets is $10.
51 x 8 = 408
It can be in this way: 51*8=408
Answer:
The answer is 66°
Step-by-step explanation:
In the triangle pcd
In the triangle dcr
Then
m<pcr = 66°