Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Answer:
Angle <em>ADE</em> is an obtuse angle.
Step-by-step explanation:
An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).
0.5x+78.2=287
0.5x=287-78.2
0.5x=208.8
x=208.8÷0.5
=208.8×2
=417.6
Answer:
(6, - 4)
Step-by-step explanation:
A translation of 4 units right is equivalent to adding 4 to the x- coordinate
A translation of 3 units up is equivalent to adding 3 to the y- coordinate
(x, y) → (x + 4, y + 3) ← translation rule
Hence
(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)
Answer:
see below
Step-by-step explanation:
-2x-5y=30
To find the x intercept, set y =0 and solve for x
-2x-5*0=30
-2x = 30
Divide each side by -2
-2x/-2 = 30/-2
x =-15
To find the y intercept, set x =0 and solve for y
-2*0-5y=30
-5y = 30
Divide each side by -5
-5y/-5 = 30/-5
y = -6