Kate bought 5 strawberry plants for $16.20. What is the cost if she bought 8 plants? Write your answer as a decimal.
To find the cost of 8 plants, we can set up a proportion:
5 plants / $16.20 = 8 plants / x
To find x, we can cross multiply and solve for it:
5 * x = 8 * $16.20
5x = $129.60
x = $129.60 / 5
x = $25.92
Therefore, the cost of 8 plants would be $25.92.
Paige found the area of a pound, but her final answer came out as 72,000 inches squared. She wants to convert the answer to a more appropriate unit and quantity. Which answer choice should she use to express her final solution?
0.0000179
�
�
�
�
�
2
0.0000179miles
2
500
�
�
2
500ft
2
0.0000465
�
�
2
0.0000465km
2
500
�
�
�
�
500feet
Paige should use the answer choice "500feet²" to express her final solution since it is the most appropriate unit for measuring the area of a pound.
Zayn is solving the linear equation
6
�
+
9
+
12
=
45
6x+9+12=45
As he was solving he took the equation
6
�
+
21
=
45
6x+21=45
performed an algebraic operation and ended up with
6
�
=
24
6x=24
Which algebraic property justifies this operation?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
1
Subtraction Property of Equality justifies this operation.
In the original equation, Zayn added 9 and 12 to both sides to isolate the variable. By subtracting 21 from both sides in the next step, he further simplified the equation to solve for x.
Solve the equation below for a
�
�
+
�
=
�
ax+b=c
�
=
�
�
−
�
a=
c−b
x
�
=
�
�
−
�
�
a=xc−xb
�
=
�
−
�
�
a=
x
c−b
None of the above
None of the above.
The correct solution for the equation ax+b=c, solved for a, is:
a = (c-b)/x
What is the rate of change of the linear expression
f(x) = -12n + 48
48
-12
12
x
The rate of change of the linear expression f(x) = -12n + 48 is -12.
To find the cost if Kate bought 8 plants, we can set up a proportion using the number of plants and the cost.
Let's define:
x = Cost of 8 plants
According to the given information:
5 plants cost $16.20
We can set up the proportion:
(5 plants) / ($16.20) = (8 plants) / (x)
Now, we can cross-multiply to solve for x:
5 * x = 8 * $16.20
Simplifying the equation:
5x = $129.60
To find the value of x, we divide both sides of the equation by 5:
x = $129.60 / 5
Evaluating the expression:
x = $25.92
Therefore, the cost of 8 plants would be $25.92.