Answer:
a.
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays:
. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50
Answer:
8
Step-by-step explanation:
use trig functions
2 sides and 1 angle given
Sides given
- hypotenuse -> x
- opposite side to 30˚ -> 4
Angle
trig function associated with hyp and opp is sin
sin(x) = opp/hyp
substitute
sin 30˚ = 4/x
solve for x
0.5 = 4/x
0.5x = 4
x = 8
You didn't say how you are rounding.If its to the near multiple of 10, the answer is 621,864.
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Answer:
57.5
Step-by-step explanation:
The constant of proportionality is "k" in the equation ...
y = kx
It can be found from values of x and y using ...
k = y/x
For the given values, it is ...
k = (287.5 mi)/(5 h) = 57.5 mi/h
The constant of proportionality relating miles to hours is 57.5.