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Questions in mathematics

📝 Answered - A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, how many kilometers above the height of the launch pad was the rocket?

📝 Answered - Factor the expression: \[ 6x + 36 \] How do I solve this problem?

📝 Answered - The perimeter of a rectangle is 120 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle?

📝 Answered - There are white, red, and blue cars in a parking lot. The number of each color car is a factor of 36. - There are twice as many white cars as red cars. - The number of blue cars is twice that of black cars. - The number of black cars is the product of two different prime numbers. - The number of red cars is a square number that is not a multiple of 2. If there are 45 cars in the parking lot, calculate how many cars of each color there are.

📝 Answered - Manny used 8 tenth-size parts to model \(\frac{8}{10}\). Ana used fewer parts to model an equivalent fraction. How does the size of a part in Ana's model compare to the size of a tenth-size part? Explain.

📝 Answered - A husband and wife celebrate their birthdays on the same day of the month, but in different months. Every year, their birthdays fall on the same day of the week. If the husband's birthday is in March and the wife's birthday is later in the year, find the month of the wife's birthday.

📝 Answered - Grant is thinking of two numbers. He says that one of the numbers is twice the other number and the sum of the numbers is 39. What are the numbers?

📝 Answered - 2) A product originally costs $125. If the product goes on sale for 20% off, and then goes on sale for an additional 30% off, what is the price of the product? A. $62.50 B. $70 C. $65 D. $90 3) If you pay $22.90 for a DVD that includes a 7% sales tax, what is the price of the DVD before the sales tax? A. $21.40 B. $21.30 C. $21.50 D. $20.95

📝 Answered - The museum's show for July features 30 oil paintings by different artists. All artists show the same number of paintings, and each artist shows more than one painting. How many artists could be featured in the show?

📝 Answered - 98 divided by 7. Please show how.