Answer:
Prime factorization: 75 = 3 x 5 x 5, which can also be written 75 = 3 x 5²
Step-by-step explanation:
75 is a composite number.
Answer:
y = -1/2 (4 x + 2)
Step-by-step explanation:
A system of two equations with no solution will consist of equations for <em>parallel lines</em>. The line will be parallel if they have the same slope (x-coefficient) and different y-intercepts.
The given line has a slope of -2, so eliminating the last two choices.
The first two choices can be expanded to slope-intercept form:
y = negative 2 (x minus one-half) ⇒ y = -2x +1 . . . same as given line
y = negative one-half (4 x + 2) ⇒ y = -2x -1 . . . parallel line
There will be no solution if another equation is ...
y = -1/2(4x +2)
Answer:
25 cent stamps = 13 and 29 cent stamps = 15
Step-by-step explanation:
x = 25 cent stamps and y = 29 cent stamps
x + y = 28......x = 28 - y
0.25x + 0.29y = 7.60
0.25(28 - y) + 0.29y = 7.60
7 - 0.25y + 0.29y = 7.60
-0.25y + 0.29y = 7.60 - 7
0.04y = 0.60
y = 0.60 / 0.04
y = 15 <===== 29 cent stamps
x + y = 28
x + 15 = 28
x = 28 - 15
x = 13 <===== 25 cent stamps
lets check it...
0.25x + 0.29y = 7.60
0.25(13) + 0.29(15) = 7.60
3.25 + 4.35 = 7.60
7.60 = 7.60 (correct..it checks out)
Answer: x = 6, Angle ABC = 45, Angle DBC = 34
Step-by-step explanation:
79 = (5x + 4) + (8x - 3)
79 = 13x + 1
78 = 13x
x = 6
8x - 3 plug in 6 for x
8(6) - 3
Angle ABC = 45
5x + 4 plug in 6 for x
5(6) + 4
Angle DBC = 34
