Answer:
50.4 cookies (50 cookies)
Step-by-step explanation:
Make 42% into a decimal = 0.42
0.42x120=50.4
Answer:
(a)x= y+14
(b)x=34, y=20
Step-by-step explanation:
Let the number of tickets sold by your friend = y
Let the number of tickets sold by you=x
You sell 14 more tickets than your friend sells.
Number of tickets sold by you, x= y+14
(a) The system of linear equations that represents this situation is: x= y+14
(b)Together, you and your friend sell a total of 58 tickets.
x+y=54
Since x= y+14
(y+14)+y=54
2y+14=54
Subtract 14 from both sides
2y+14-14=54-14
2y=40
Divide both sides by 2
y=20
Recall, x= y+14
x=20+14=34
You sell 34 tickets and your friend sells 20 tickets.
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
(18,269.82)
Answer:
1) the constant of variation is 1/6
2) b=80 when A=10
3)the value of k is 40
4) x=0.032 when y = 10
Step-by-step explanation:
1)m varies directly as y
k is the constant of variation
We are given that m is 6 when y is 36
Hence the constant of variation is 1/6
2)A varies directly as b.
k is the constant of variation
We are given that A = 3 when b = 24
Substitute A=10
80=b
So, b=80 when A=10
3)y varies inversely with x
k is the constant of variation
We are given that y = 5 when x = 8
So, the value of k is 40
4)y varies inversely with x
k is the constant of variation
We are given that k=0.32
Substitute y = 10
So, x=0.032 when y = 10