Hi there! To solve this question, we can just simply multiply 3 1/8 and 5, because we're looking for the total length of the board, before it was cut into 5 equal pieces. To multiply fractions, just do it straight across. Numerator * numerator / denominator * denominator. 3 1/8 as a mixed number is 25/8 and 25/8 * 5/1 is 125/8 or 15 5/8 in mixed number form. There. The board was 15 5/8 inches long. The answer is D.
Answer:
x = ~8.9
Step-by-step explanation:
a^2 + b^2 = c^2
c is the long side
a and b are the other two shorter sides
this means
x^2 + 19^2 = 21^2
x^2 + 361 = 441
x^2 = 441- 361
x^2 = 441- 361
x^2 = 80
square root of 80 = ~8.9
x = ~8.9
I’ve broken it down into the parts that you’ve highlighted:
Part A:
x = 25 + y
x + y = 95
Part B:
I’m using the substitution method to find the amount of time that Eric plays volleyball, so:
x + y = 95
x = 95 - y
95 - y = 25 + y
70 = 2y
y = 35, 35 minutes spent playing volleyball
Part C: i don’t completely understand the question, perhaps there was a typo?
Okay. First off, let’s solve for the first two sides, since they are the same length. Set it up like this: 8x - 4 = 5x + 11. Subtract 5x from both sides to get 3x - 4 = 11. Next, add 4 to both sides to get 3x = 15. Now, divide each side by 3 to isolate the x and you get 5. Let’s plug in the values. 8 * 5 = 40 - 4 = 36. 5 * 5 = 25 + 11 = 36. There. x = 5. Now, let’s plug the 5 in to the other formula. 5 * 4 = 20. 20 - 2 = 18. There. BC is 18 units long.
