Answer:
$9.00
Step-by-step explanation:
If the price is at 30% discount, this means it is 100-30 = 70% of the original price.
Hence, original price is $9.00.
The solutions of the equation are x = 15 and x = -20
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite the equation properly as:
|2/5x + 1| - 7 = 0
Add 7 to both sides
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
Subtract 1 from both sides
2/5x = 6 and 2/5x = -8
Solve for x
x = 15 and x = -20
Hence, the solutions of the equation are x = 15 and x = -20
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Step-by-step explanation:
<em><u>Here</u></em><em><u>,</u></em>
| −34 |
= 34
<em><u>As</u></em><em><u>,</u></em>
| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1
C)3n-2 Im pretty sure.
sorry if it’s wrong <3
Answer:
x = 16
Explanations:
Since △ACD ~ △ABE, it means that:
CD/AD = BE/AE..........(*)
CD = 3x + 8
AD = AE + ED
AD = (x - 1) + 27
AD = x + 26
BE = 20
AE = x - 1
Substituting CD, AD, BE, and AE into equation (*)
(3x+8)/(x+26) = 20/x-1
Cross multiply:
(3x+8)(x-1) = 20(x+26)
3x² - 3x + 8x - 8= 20x + 520
3x²- 15x - 528 = 0
Divide through by 3
x² - 5x - 176 = 0
Solving the quadratic equation above for the values of x
x² - 16x + 11x - 176 = 0
x(x - 16) + 11 (x - 16) = 0
(x - 16)(x + 11) = 0
If x - 16 = 0
x = 16
If x + 11 = 0
x = -11
x cannot be -11 because x = -11 will make side CD and AE to be negative, and the sides of a triangle cannot be negative.
Therefore, x = 16
