The equation 20+0.35p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $76 to deliver.
To find the weight of an appliance that costs $76 to deliver, we can substitute the given value of $76 into the equation and solve for the weight.
20 + 0.35p = 76
Subtracting 20 from both sides of the equation:
0.35p = 56
Dividing both sides of the equation by 0.35:
p = 160
Therefore, the weight of the appliance that costs $76 to deliver is 160 pounds.
Use a table, an equation, and a graph to represent the relationship below.
Ty is 7 years younger than Bea.
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Complete the table below.
Ty's and Bea's Ages (years)
Ty's Age 1 2 3 4 5
Bea's Age
If Ty is 7 years younger than Bea, we can represent this relationship in a table:
Ty's Age (years) | Bea's Age (years)
---------------------------------------
1 | 8
2 | 9
3 | 10
4 | 11
5 | 12
We can also represent this relationship with an equation:
Ty's Age = Bea's Age - 7
And finally, we can graph this relationship by plotting the points (Ty's age, Bea's age) on a coordinate plane:
(x-axis: Ty's Age, y-axis: Bea's Age)
(1, 8)
(2, 9)
(3, 10)
(4, 11)
(5, 12)
Connecting these points will give us a straight line, and any point on this line will represent Ty's age and Bea's age that satisfy the condition that Ty is 7 years younger than Bea.
Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package costs $30. If their total cost is $172, what is the cost of one month of game play?
Let's denote the cost of one month of game play as "x".
Angie's cost for the software package and 3 months of game play is 30 + 3x.
Kenny's cost for the software package and 4 months of game play is 30 + 4x.
Since their total cost is $172, we can set up the following equation:
30 + 3x + 30 + 4x = 172
Combining like terms:
7x + 60 = 172
Subtracting 60 from both sides:
7x = 112
Dividing both sides by 7:
x = 16
Therefore, the cost of one month of game play is $16.
A rectangle has perimeter 70 cm and length 27.cm What is its width?
Let's denote the width of the rectangle as "w".
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (Length + Width)
Given that the perimeter of the rectangle is 70 cm and the length is 27 cm, we can set up the following equation:
70 = 2 * (27 + w)
Dividing both sides of the equation by 2:
35 = 27 + w
Subtracting 27 from both sides of the equation:
w = 8
Therefore, the width of the rectangle is 8 cm.