4. Xander pays $8 for 10 skateboard stickers. There is a proportional relationship between the number of stickers Xander buys, x
1 answer:
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1.
Let the sandwich be represented by = x
Let the drink be represented by = y
As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10 ....(i)
He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50 ....(ii)
Subtracting (ii) from (i) we get
x=3.50
And as x+y=6.50
y=6.50-3.50=3.00
Hence, cost of a sandwich is $3.50 and a drink is $3.00
2.
the question is incomplete. coordinates are missing
3.
Let x represent the number of performances
cost = 8000+300x
revenue = 700x
To break even, the cost must be equal to the revenue.
so x=20
Hence, 20 performances are needed to break even.
4.
Let us take x for 20% material, y for 50% material
......... (1)
Accounting for volumes to use, x+y=200 or x=200-y ................ (2)
Putting the value of x in (1)
y=66.67
x=200-y = 200-66.67 =133.33
Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.
Answer:
The number of laps for which two swimmers have raised the same amount of money is 6 .
Step-by-step explanation:
Given as :
The amount raised by Hailey = $27 + $1.50 × each lap she swim
The amount raised by Tariana = $18 + $3 × each lap she swim
Let The number of laps after which both swimmer raised same amount = n
Now, According to question
<u>For both swimmer to raised same amount</u>
I.e The amount raised by Hailey = The amount raised by Tariana
Or, $27 + $1.50 × each lap she swim = $18 + $3 × each lap she swim
Or, $27 + $1.50 × n = $18 + $3 × n
Or, $27 - $18 = $3 n - $1.50 n
Or, 9 = 1.5 n
∴ n =
I.e n = 6
So, number of lap for same amount of both = n = 6
Hence The number of laps for which two swimmers have raised the same amount of money is 6 . Answer