Delia spent $250 to rent a boat for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of boat rental cost??
The base rate for 2 hours is $150.
Subtracting the base rate from the total cost leaves her paying $250 - $150 = $<<250-150=100>>100 for the additional 4 hours of the rental.
She pays $100 for each additional hour because $100 / 4 hours = $<<100/4=25>>25 per hour. Answer: \boxed{25}.
Solve the equation for y.
−15y+3=−7
To solve the equation for y, we want to isolate y on one side of the equation.
Starting with the equation -15y + 3 = -7, we first need to get rid of the constant term on the left side by subtracting 3 from both sides:
-15y + 3 - 3 = -7 - 3
This simplifies to:
-15y = -10
Next, we want to isolate y by getting rid of the coefficient -15. To do this, we divide both sides of the equation by -15:
(-15y)/-15 = -10/-15
Simplifying further:
y = 10/15
The fraction 10/15 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:
y = 2/3
Therefore, the solution for y is y = 2/3.
-1/5y + 3 = -7
To solve the equation for y, we want to isolate y on one side of the equation.
Starting with the equation -1/5y + 3 = -7, let's first get rid of the constant term on the left side by subtracting 3 from both sides:
-1/5y + 3 - 3 = -7 - 3
This simplifies to:
-1/5y = -10
Next, we want to isolate y by getting rid of the coefficient -1/5. To do this, we can multiply both sides of the equation by the reciprocal of -1/5, which is -5/1 or -5:
(-1/5y)(-5/1) = -10(-5/1)
Simplifying further:
y = 50/1
Therefore, the solution for y is y = 50.
Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3
the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?
Let's assume the number of cupcakes that JoJo decorates is x.
According to the given information, Darcy decorates 2 more than 1/3 of the number of cupcakes JoJo decorates, which can be expressed as:
8 = (1/3)x + 2
To solve for x, we'll first subtract 2 from both sides of the equation:
8 - 2 = (1/3)x
6 = (1/3)x
Next, multiply both sides of the equation by 3 to cancel out the fraction:
6 * 3 = (1/3)*3*x
18 = x
Therefore, JoJo decorates 18 cupcakes.
When multiplying two rational numbers, how is the sign of the product determined?
The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the smaller factor.
The correct answer is:
The product is positive if the signs of the factors are the same.
The product is negative if the signs of the factors are different.