The equation 27+0.15p=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 $42 to deliver.
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Part 1
The appliance weighs enter your response here pounds.
To find the weight of the appliance that costs $42 to deliver, we substitute c = $42 into the equation and solve for p:
27 + 0.15p = 42
Subtract 27 from both sides:
0.15p = 15
Divide both sides by 0.15:
p = 100
Therefore, the weight of the appliance that costs $42 to deliver is 100 pounds.
Use a table, an equation, and a graph to represent the relationship below.
Ty is 12 years younger than Bea.
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Part 1
Complete the table below.
Ty's and Bea's Ages (years)
Ty's Age
1
2
3
4
5
Bea's Age
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
Given that Ty is 12 years younger than Bea, we can create the table:
Ty's Age | Bea's Age
--------------------
1 | 13
2 | 14
3 | 15
4 | 16
5 | 17
Therefore, the completed table is:
Ty's and Bea's Ages (years)
Ty's Age
1
2
3
4
5
Bea's Age
13
14
15
16
17
Let x represent Ty's age and y represent Bea's age. Choose the correct equation below.
A.
y=x−12
B.
y=x+12
C.
y=12x
D.
x+y=
The correct equation to represent Ty's age (x) and Bea's age (y) is:
B. y = x + 12
Solve and check.
a−5=−23
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Part 1
The solution is a= enter your response here.
(Type an integer or a simplified
To solve the equation a - 5 = -23, we isolate the variable a by adding 5 to both sides:
a - 5 + 5 = -23 + 5
This simplifies to:
a = -18
Therefore, the solution is a = -18.
X/8=-9
To solve the equation x/8 = -9, we can isolate x by multiplying both sides of the equation by 8:
(x/8) * 8 = -9 * 8
This simplifies to:
x = -72
Therefore, the solution is x = -72.