Let x = price of the bike before a sales tax.
The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars
Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50
Answer: 158.50
Answer:
9
Step-by-step explanation:
-4(6x+3)= -12(x+10)
<u><em>Let's do the first part:</em></u>
-4(6x+3)
<em>**distribute**</em>
-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12
<u><em>Let's do the second part:</em></u>
-12(x+10)
<em>**distribute**</em>
-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120
-24x -12 = -12x - 120
<em>**Move variable to the left-hand side and change its sign**</em>
-24x +12x -12 = -120
-12x - 12 = -120
-12x = 108
x = 108/-12
x=9
Answer:
x-intercept = (1/4, 0)
Step-by-step explanation:
Just change the y to 0 if you want to find the x-intercept of a linear equation.
0=-12x+3
-12x=-3
x=1/4
y=0
x-intercept = (1/4, 0)
The picture is a bit blurry. Mind sending it again?
Answer:
The length of segment DC 33 units.
Step-by-step explanation:
Given:
The length of segment BC is 23 units.
To find:
Length of segment DC=?
Solution:
AB = 2x + 7
From the figure ,AB = BC
2x + 7 = 23
2x = 23 - 7
2x = 16
x = 8
In the Δ ABD and ΔCBD
(1) AB = BC(As given in the figure.)
(2) ∠DBA = ∠DBC = 90°
(3) BD = BD(Common side of both the triangle.)
Thus by using SAS congurence property .
Δ ABD ≅ ΔCBD
Thus AD = DC(Corresponding sides of the congurent triangle.)
Thus AD = 4x + 1
Substituting x = 8
AD = 
AD = 32 + 1
AD = 33 unit
Thus AD = DC = 33 unit
