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wezzy

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$To find out how much Mrs. Parker would pay for 7 gallons of orange juice, first determine the cost per gallon. 1. Calculate the cost per gallon: \[ \text{Cost per gallon} = \frac{\text{Total cost}}{\text{Number of gallons}} = \frac{15.80}{5} = 3.16 \] 2. Now, multiply the cost per gallon by the number of gallons for 7 gallons: \[ \text{Cost for 7 gallons} = \text{Cost per gallon} \times 7 = 3.16 \times 7 = 22.12 \] Therefore, Mrs. Parker would pay **$22.12** for 7 gallons of$ Mrs. Parker paid $15.80 for 5 gallons of orange juice. At this rate, how much would she pay for 7 gallons of orange juice?

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$To find out how many minutes it will take for the tank to contain 450 gallons of water after starting with 300 gallons and adding water at a rate of 9 gallons per minute, we can set up the equation as follows: 1. Calculate the total amount of water needed to reach 450 gallons: \[ 450 \text{ gallons} - 300 \text{ gallons} = 150 \text{ gallons} \] 2. Determine how long it will take to add 150 gallons at the rate of 9 gallons per minute: \[ \text{Time} = \frac{\text{Amount of water$ A partially-filled water tank contains 300 gallons of water. Water is then pumped into the tank at a constant rate 9 gallons per minute. After how many minutes will the tank contain 450 gallons?

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$To simplify the expression $(b^2 - 2b + 4)(b - 2)$, we can use the distributive property (also known as the FOIL method for binomials). 1. Multiply each term in the first expression by each term in the second expression: \[ (b^2)(b) + (b^2)(-2) + (-2b)(b) + (-2b)(-2) + (4)(b) + (4)(-2) \] 2. This expands to: \[ b^3 - 2b^2 - 2b^2 + 4b + 4b - 8 \] 3. Combine like terms: \[ b^3 - 4b^2 + 8b - 8 \] So, the simplified expression is: \[ \boxed{b^3 - 4b^2 + 8b - 8} \]$ Simplify (b2 – 2b + 4)(b – 2).

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To find the average speed of the blue whale calf in feet per hour, we can follow these steps:

1. **Convert the distance from miles to feet**:
- 1 mile = 5280 feet
- Distance in feet = 228 miles * 5280 feet/mile = 1,204,224 feet

2. **Convert the time from hours and minutes to hours**:
- 12 hours and 22 minutes = 12 + (22/60) hours = 12.3667 hours (approximately)

3. **Calculate the average speed**:
- Average speed = Distance / Time
- Average speed = 1,204,224 feet / 12.3667 hours

A blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12 hours 22 minutes. Which is closest to the calf’s average rate of speed, in feet per hour?

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$To solve the equation $ 23.5 - 2(x + 5) = 25x $, follow these steps: 1. Distribute the $-2$ on the left side: \[ 23.5 - 2x - 10 = 25x \] 2. Simplify the left side: \[ 13.5 - 2x = 25x \] 3. Add $2x$ to both sides: \[ 13.5 = 27x \] 4. Divide both sides by $27$: \[ x = \frac{13.5}{27} = \frac{1}{2} = 0.5 \] Thus, the value of $x$ is $0.5$.$ What is the value of x if 23.5 – 2(x + 5) = 25x?

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$To calculate the probability of drawing two red marbles from the bag without replacement, we first need to determine the total number of marbles and then the probability of each draw. 1. **Total number of marbles:** - Red marbles: 6 - Blue marbles: 7 - White marbles: 9 - Total = 6 + 7 + 9 = 22 marbles 2. **Probability of drawing the first red marble:** - The probability of drawing a red marble first is the number of red marbles divided by the total number of marbles: \[ P($ A bag contains 6 red marbles, 7 blue marbles, and 9 white marbles. A student randomly chooses one marble, then randomly chooses a second marble without replacement. What is the probability of drawing two red marbles?

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