I needed help with these problems:
1.Charles wants to dig a rectangular flower bed which is twice as long as it is wide. Let x be the number in feet in width.
If you are given a width for the rectangle, would you evaluate the expression or write an equation and solve in order to find the length?
2.Paul normally spends about 45 cents more on his lunch than his friend Stephanie.
a.Define a variable for the amount Paul spends on lunch.
3.There are 5280 feet in a mile. Change 900 feet per minute t miles per hour. Round the answer to the nearest one-hundredth.
4. Write 24 5/12 as a decimal.
1. equation - 2x = The Length
2. Let X be what Stephanie eats so X + 45 is what Paul spends
3. 58.667 miles per hour
4.24.41666667
Sure! I can help you with these problems and explain how to solve them.
1. To find the length of the rectangular flower bed, we are given that it is twice as long as it is wide. Let's represent the width with the variable x. The length would then be 2x since it is twice the width. To find the length, we can either evaluate the expression 2x if we are given a specific width, or we can write an equation and solve for x if we want to find the width given the length.
2. To define a variable for the amount Paul spends on lunch, let's call it p. Since Paul normally spends about 45 cents more than Stephanie, we can say that p = s + 0.45, where s represents the amount Stephanie spends on lunch.
3. To change 900 feet per minute to miles per hour, we can use the conversion factor of 5280 feet per mile. First, let's calculate the number of miles traveled in one minute by dividing 900 feet by 5280 feet per mile. This gives us approximately 0.17045 miles per minute. Next, since there are 60 minutes in an hour, we can multiply the previous result by 60 to convert minutes to hours. So, 0.17045 miles per minute * 60 minutes per hour equals approximately 10.227 miles per hour. Rounded to the nearest one-hundredth, it is 10.23 miles per hour.
4. To write 24 5/12 as a decimal, we can first convert the mixed number to an improper fraction. Multiplying the whole number 24 with the denominator 12 and adding the numerator 5, we get 293/12. To convert this fraction to a decimal, divide the numerator by the denominator: 293 รท 12 is approximately 24.42. Therefore, 24 5/12 can be written as the decimal 24.42.
I hope that helps! Let me know if you have any further questions or need more explanations.