Caitlyn spends $17 at the store. She buys a mop for $5 and 3 bottles of floor cleaner. If x represents the cost of each bottle of cleaner, the equation that can be used to find the value of x is 3 x + 5 = 17. Which shows the first step that should be taken to verify that $4 is the solution to the equation?
3 (4) minus 5 = 17
3 (4) = 17 + 4
3 (4) + 5 = 17 + 5
3 (4) + 5 = 17
+ 3
be specific
The first step that should be taken to verify that $4 is the solution to the equation is: substitute $4 for x in the equation and simplify. So, it would be 3(4) + 5 = 17.
A two-day moving truck rental from Best Rentals costs $60 and $0.35 per mile driven. A two-day moving truck rental from Easy Movers costs $80 and $0.25 per mile driven. Let m represent the number of miles driven. Which equation can be used to find the number of miles for which the rentals would cost the same amount?
60 + 0.35 m = 80 + 0.25 m
60 m + 0.35 = 80 + 0.25 m
60 + 0.35 m = 80 m + 0.25 m
60 m + 0.35 = 80 m + 0.25
m
be sapecific
The equation that can be used to find the number of miles for which the rentals would cost the same amount is: 60 + 0.35m = 80 + 0.25m.
A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.
Since the rectangle and the hexagon have the same perimeter, we can set their formulas for perimeter equal to each other, and solve for the value of s (side length of the hexagon):
2l + 2w = 6s
We can also use the given information that a side of the hexagon is 4 less than the length of the rectangle, so:
s = l - 4
And the width of the rectangle is 2 less than the length, so:
w = l - 2
We can substitute these expressions for s and w into the first equation:
2l + 2(l - 2) = 6(l - 4)
Simplifying:
4l - 8 = 6l - 24
2l = 16
l = 8
Now we can use the expression for s to find the side length of the hexagon:
s = l - 4 = 4
Finally, we can use the formula for the perimeter of the hexagon to find its value:
P = 6s = 6(4) = 24
Therefore, the perimeter of the hexagon is 24.
Tomas bought 3 software apps and 2 e-books for a total of $21. The two e-books cost $12. If s represents the cost of each app, the total cost of all 5 items is represented by 3 s + 12 = 21. Which statement about verifying the solution for s is true?
The solution is given by s = 6 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 3 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 9 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 12 because it makes the value of 3 s + 12 equal to 21.