Please help me with the questions provided below; I have studied in Math, but I want to make sure my answers are accurate to ace.
1.) Solve the proportion. 5/8= y/40.
A.) 25
B.) 13
C.) 11
D.) 10
I chose answer choice A for number one since 8x5=40, and 5x5=25. I got my answer by multiplying the numerator and the denominator by five.
2.) Solve the proportion. y/22=3/11.
Cross multiplication is also another factor I used to get my answer, since you need to use cross multiplication to solve proportions.
A.) 6
B.) 11
C.) 15
D.) 66.
I chose answer choice A.), because 3x2=6, and 11x2=22. I multiplied the numerators and denominators by two.
3.) Julie is photocopying a letter. The original letter was 8 inches wide and 11 inches long. The new copy is 12 inches wide. How long is the new copy of the letter?
A.) 22 inches.
B.) 16.5 inches.
C.) 12 inches.
D.) 121 inches.
I chose answer choice B.), because I multiplied 12x11=132, then I divided 132/8, and got an answer of 16.5 inches.
And the last question I am asking:
4.) If the original bill is $15.50, what will be the final bill after paying a 15% tip? Round to the nearest cent.
A.) $2.33
B.) $17.83
C.) $30.50
D.) $232.50.
I chose answer choice B.), ($17.83).)
All of your answers are right. :-)
Thank you Ms. Sue! I appreciate your help.
You are very welcome. Glad I could help.
Your answers to the questions are correct. Here's an explanation of how to solve each question:
1.) To solve the proportion 5/8 = y/40, you can cross-multiply. Cross-multiplying means multiplying the numerator of the first fraction (5) by the denominator of the second fraction (40) and vice versa. So, you have (5 x 40) = (8 x y). Simplifying, you get 200 = 8y. To solve for y, divide both sides of the equation by 8. This gives you y = 25. So, answer choice A, 25, is the correct answer.
2.) To solve the proportion y/22 = 3/11, you can again cross-multiply. Cross-multiplying gives you (y x 11) = (3 x 22). Simplifying, you have 11y = 66. To solve for y, divide both sides of the equation by 11. This gives you y = 6. So, answer choice A, 6, is the correct answer.
3.) To find the length of the new copy of the letter when the original width is 8 inches and the original length is 11 inches, you can use the concept of proportions. The width and length of the original letter have a ratio of 8:11. Since the new copy has a width of 12 inches, you need to find the corresponding length. You can set up a proportion: 8/11 = 12/x. To solve for x, you cross-multiply. This gives you 8x = 132. Dividing both sides of the equation by 8, you get x = 16.5. So, answer choice B, 16.5 inches, is the correct answer.
4.) To calculate the final bill after paying a 15% tip on an original bill of $15.50, you need to find 15% of $15.50 and add it to the original bill. To find 15% of $15.50, multiply $15.50 by 0.15 (which represents 15% as a decimal). This gives you $2.325. Rounding to the nearest cent, the tip is $2.33. Adding this to the original bill of $15.50, you get $15.50 + $2.33 = $17.83. So, answer choice B, $17.83, is the correct answer.
Great job on getting them correct!