First we have to find 18% of $55.82, which we can do by using the equation 55.82 x 0.18

55.82 x 0.18 = 10.05

so the tip = $10.05

now we just add it to the original bill
55.82 + 10.05 = 65.87

so the total cost = $65.87

5 0

3 years ago

Three collinear points on the coordinate plane are r(x,y), s(x+8h, y+8k), and p (x+6h, y+6k)

Karo-lina-s [1.5K]

Answer:

A. $\frac{RP}{SP}=3$

B. $\frac{RP}{RS}=\frac{3}{4}$

Step-by-step explanation:

The complete question is

Three collinear points on the coordinate plane are R(x, y), S(x+8h, y+8k), and P(x+6h, y+6k).

Part A: Determine the value of RP/SP

Part B: Determine the value of RP/RS

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$R(x,y),S(x+8h,y+8k) and P(x+6h,y+6k)$

Part A.We have to find the value of $\frac{RP}{SP}$

step 1

Find the distance RP

$R(x,y),P(x+6h,y+6k)$

substitute the values in the formula

$RP=\sqrt{(x+6h-x)^2+(y+6k-y)^2}$

$RP=\sqrt{36h^2+36 k^2}$

$RP=6\sqrt{h^2+k^2}$

step 2

Find the distance SP

$S(x+8h,y+8k),P(x+6h,y+6k)$

substitute the values in the formula

$SP=\sqrt{(x+6h-x-8h)^2+(y+6k-y-8k)^2}$

$SP=\sqrt{4h^2+4k^2}$

$SP=\sqrt{4(h^2+k^2)}$

$SP=2\sqrt{h^2+k^2}$

step 3

Find the ratio RP/SP

$\frac{RP}{SP}=\frac{6\sqrt{h^2+k^2}}{2\sqrt{h^2+k^2}}$

$\frac{RP}{SP}=3$

Part B. We have to determine the value of $\frac{RP}{RS}$

step 1

Find the distance RS

$R(x,y),S(x+8h,y+8k)$

$RS=\sqrt{(x+8h-x)^2+(y+8k-y)^2}$

$RS=\sqrt{64h^2+64k^2}$

$RS=\sqrt{64(h^2+k^2)}$

$RS=8\sqrt{h^2+k^2}$

step 2

Find the ratio RP/RS

$\frac{RP}{RS}=\frac{6\sqrt{h^2+k^2}}{8\sqrt{h^2+k^2}}$

$\frac{RP}{RS}=\frac{3}{4}$

5 0

3 years ago

Help pls! 30 points! Which of the following is a unit rate?

Tresset [83]

Answer:

c. 4 ft./ 1 sec.

Step-by-step explanation:

A unit rate always requires the last unit a numerical value of 1.

So c is the answer because it is 4 ft per 1 sec or 4 ft/sec (4 feet per second)

More examples are: mph, kmph, g/cm² and etc.

8 0

3 years ago

GIVING BRAINIEST IF CORRECT!!

azamat

Answer:

12/15 of the way

Step-by-step explanation:

create a proportion of time/filled = time/filled

let 'x' = fractional portion of filled pool

1/2÷1/15 = 6÷x

complex fraction 1/2÷1/15 is the same as 1/2 × 15/1 and this is 15/2

15/2 = 6/x

cross-multiply to get:

15x = 12

x = 12/15

8 0

3 years ago