Jordan wants to buy a bike that usually sells for $80.00. The store is having a sale and all merchandise is discounted by 20%. What is the total cost of the bike if Jordan pays 6 1/2% sales tax?

$68.16

Step-by-step explanation:

The original price of the bike is $80. The store is doing a 20% discount.

Multiply 80 by 0.20.

80 × 0.20 = $16

Subtract 16 from 80 to get the price of the bike after the discount.

80 - 16 = $64

To calculate the sales tax, turn the percentage into a decimal and multiply by the cost of the item.

6.5% → 0.065

0.065 × 64 = $4.16

Add the sales tax to the cost of the item to get the total cost of the bike.

$4.16 + 64 = $68.16

The bike will cost $68.16.

Hope that helps.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form