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.
On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?
To find out how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we need to calculate the net change in temperature.
Starting with the initial temperature of 81°F, the temperature dropped 9°F, which means it decreased by 9. Therefore, the temperature after the drop is 81 - 9 = 72°F.
Next, the temperature rose by 5°F, which means it increased by 5. Therefore, the temperature after the rise is 72 + 5 = 77°F.
To return to the initial temperature of 81°F, the temperature needs to rise by 81 - 77 = 4°F.
Hence, the temperature needs to rise by 4°F to return to the initial temperature of 81°F.
Divide −3/17 by −2/3
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
To divide -3/17 by -2/3, we multiply -3/17 by -3/2 (the reciprocal of -2/3):
(-3/17) * (-3/2)
When multiplying fractions, we multiply the numerators together and the denominators together:
(-3 * -3) / (17 * 2)
Simplifying the numerator and denominator:
9 / 34
Therefore, -3/17 divided by -2/3 is equal to 9/34.
Find the product.
4/7(−20/2)
To find the product, we multiply the two fractions together:
4/7 * (-20/2)
When multiplying fractions, we multiply the numerators together and the denominators together:
(4 * -20) / (7 * 2)
Simplifying the numerator and denominator:
-80 / 14
Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
-40 / 7
Therefore, the product of 4/7 and -20/2 is -40/7.
wrong
Apologies for the previous incorrect response.
To find the product of 4/7 and -20/2, we multiply the numerators together and multiply the denominators together:
(4/7) * (-20/2) = (4 * -20) / (7 * 2) = -80/14
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
-80/14 = -40/7
Therefore, the correct product is -40/7.
simplify
To simplify the fraction -40/7, we can divide the numerator and denominator by their greatest common divisor, which is 8:
-40/7 = (-40/8) / (7/8) = -5/1
Therefore, the simplified form of -40/7 is -5.
Find the product.
4/7(−20/2)
−2/35
negative 2 over 35
5 5/7
5 and 5 sevenths
−5 5/7
negative 5 and 5 sevenths
−9 3/7
To find the product of 4/7 and -20/2, we multiply the numerators together and multiply the denominators together:
(4/7) * (-20/2) = (4 * -20) / (7 * 2) = (-80) / (14)
The fraction -80/14 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(-80/14) = (-40/7)
Therefore, the product of 4/7 and -20/2 is -40/7, which is equivalent to -5 5/7.
The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?
To find the distance from the basement floor to the roof, we subtract the elevation of the basement floor from the elevation of the roof.
Distance = Elevation of the roof - Elevation of the basement floor
Distance = 37 ft - (-15 ft)
To subtract a negative number, we can rewrite it as addition:
Distance = 37 ft + 15 ft
Distance = 52 ft
Therefore, the distance from the basement floor to the roof is 52 feet.