Answer:there are 14 5point problems and 15 2point problems on the test.
Step-by-step explanation:
x represents number of 5 point questions and y represents questions worth 2 points.
The total number of questions in the test is 29. It means that
x + y = 29
x = 29 - y
Mr. Martin’s math test is worth 100 points. It means that
5x + 2y = 100 - - - - - - - - -1
Substituting x = 29 - y into equation 1, it becomes
5(29 - y) + 2y = 100
145 - 5y + 2y = 100
- 5y + 2y = 100 - 145
- 3y = - 45
y = - 45/-3
y = 15
x = 29 - y = 29 - 15
x = 14
First you need to figure out the slope:
y2-y1/x2-x1=(1+5)/(-5-7)=-1/2
y+5=-1/2(x-7)
y=-1/2x-3/2
Answer:
8530
Step-by-step explanation:
The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530
Answer:
Area = 49π
Step-by-step explanation:
circle Area = π x (radius)²
Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.
So r = 7, where 'r' is the radius.
Area = π x r² = π(7)² = π(49)
Area = 49π is the exact answer, so it is the one I prefer.
Area = 153.86 is the decimal you get if you multiply 49 x 3.14
Hope this helps.