The cross section of a metal ingot is a trapezoid. The cross section has an area of 39 square centimeters. The top base of the cross section is 12 centimeters. The length of the bottom base is 2 centimeters greater than the top base. How tall is the metal ingot?
Answers
metal ingot is 5cm tall
I am a number less than 3,000.when you divide me by 32,my remainder is 30.when you divide me by 58 ,my remainder is 44.What number am I?
Answers
n=32a+30=58b+44. Chinese remainder theorem whould have been useful, but you won't get it. So, you've got something more complicated in there... Well, you get numbers 30, 62, 94, 126, 158, 190, 222 etc for the first one and 44, 102, 160, 218 etc for the second one... I just can't do without that one! :)) The main idea is that you could calculate all numbers under 3000 in both conditions: the lists only share our number (supposedly :)) )
The answer is 3000 and I have it right
Ratios and proportions... 7/9 and 140/180
Answers
7/9 = 7/9 140/180=7/9 they are proportional the fractions + the same thing
Find the sum of 301+73+27, mentally, using the Associative Property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.
Answers
The answer is 401, because you can put parenthesis between 73 and 27. The equation would now be 301+(73+27). You do the expression inside the parentheses first. Now it will be 301+(100) which is the same as 301+100. You know 301 plus 100, which is 401. There's your answer. I hope this helped.
(4x+2y=84 , 3x + 5y=126) If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are __________ .
Answers
x = 12 , y = 18 (12, 18) is the solution, intersection of the two lines.