Answer:
y=15
(8,15)
Step-by-step explanation:
Divide both sides by 2 to isolate y.
Because y=15, the solution is (8,15).
I hope this helps!
Only the third option would do that, following from the alternate interior angle theorem.
Answer:
2/3,30%
,0.03,23%
Step-by-step explanation:
Answer:
Each project has 2.500 man-hours
Step-by-step explanation:
Available man hours: 5000
For two projects Costs $
X: project A 10
Y: project B 12
Approach:
X + Y = 5000 => X = 5000 - Y
10 * X + 12 * Y = 55000
replacing:
10 * (5000 - Y) + 12 * Y = 55000
50000 - 10 * Y + 12 * Y = 55000
2 * Y = 55000 - 50000
Y = 5000/2
Y = 2500
For X:
X = 5000 - 2500
X = 2500
The number of hours available for each project are:
Projects Man hours
X: project A 2500
Y: project B 2500
Answer:
Cards with Mark = 30
Cards with Drew = 120
Cards with Katie = 12
Step-by-step explanation:
The complete question is
Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards as Mark. In all they have 162 baseball cards. How many does each have?
Solution -
Let the number of cards with Mark be "X"
Number of cards with Drew = 4 *X = 4X
Number of Cards with Katies = 0.5 X -3
Sum of all the cards is equal to 162
X+4X + 0.5 X -3 = 162
5.5 X = 165
X = 30
Cards with Mark = 30
Cards with Drew = 4 * 30 = 120
Cards with Katei = 15-3 = 12
