# mathcounts problems 81 through 85

Jan 3rd, 2015
SKTFaker
Category:
Mathematics
Price: \$5 USD

Question description

81. If (x+y)^2=x^2+y^2, what is the value of xy?

82. Kiera and Aubrey were the only candidates for SGA President. Kiera received 44% of the 7th graders’ votes, and Aubrey received 42% of the 8th graders’ votes. The student body consists of 325 7th graders and 350 8th graders, and every student voted for one of these two candidates. What percent of the students’ votes did the winner receive? Express your answer to the nearest whole number.

83. Enoch has a photo that is 8 inches high and 6 inches wide. He wants to enlarge it so that it can fit into a frame that is 10 inches by 7 inches. How much will he need to crop from the width to exactly fill the entire frame? Express your answer as a decimal to the nearest tenth.

84. At 1:00 p.m. an airplane left the local airport and flew due east at 300 mi/h. At 3:00 p.m. a second plane left the same airport and flew due north at 400 mi/h. Assuming the curvature of the earth is negligible, how many miles apart are the planes at 8:00 p.m.?

85. If the mean of the integers 7, 3, 11, 13, 5 and x is 4 more than the mode of the six integers, what is the value of x?

(Top Tutor) Daniel C.
(997)
School: University of Virginia

Studypool has helped 1,244,100 students

## 7 Reviews

Summary
Quality
Communication
On Time
Value
kpcutie
Dec 3rd, 2016
" Excellent job "
Hemapathy
Nov 19th, 2016
" all I can say is wow very fast work, great work thanks "
BlueOcean
Nov 6th, 2016
" Awesome! Exactly what I wanted. "
kevin12622
Oct 28th, 2016
" Goes above and beyond expectations ! "
ashleyisgod
Oct 14th, 2016
" Top quality work from this guy! I'll be back! "
likeplum4
Oct 5th, 2016
" Excellent work as usual "
Molly_Moon
Sep 22nd, 2016
" AMAZING as always! "

1822 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors