Answer:
$229
Step-by-step explanation:
Pay check = P
so
Total spent movie T = $13.74
T = 0.4 *0.15* P = $13.74
The 40% on the Movie Theatre spending is part of the 15% spending at the mall.
So 40% of 15% of the Pay Check = $13.74
P = $13.74 / (0.4*0.15) = 34.35/0.15 = 229
Answer:
The answer is 5q + 9.
Step-by-step explanation:
1) Collect like terms.
2) Simplify.
<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>5q</u><u> </u><u>+</u><u> </u><u>9</u><u>.</u>
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
Answer:
c = 75 in
Step-by-step explanation:
The hypotenuse of a right triangle is found by the Pythagorean theorem:
<em>a² + b² = c²</em> (a and b are the legs, c is the hypotenuse)
Plug in: <em>45² + 60² = c²</em>
Square + square root: √(2025 + 3600) = c
Add: √5625 = c
Square root: 75 in = c (no negatives because we are finding distance)
