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3 years ago

13

a box of laundry detergent is on sale for $6.50 if this price represses a 40% discount from the original price what is the origi

nal price to the nearest cent

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Answer:

$10.83

Step-by-step explanation:

100 - 40 = 60

60% = 6.50

divide both sides by 60 to find 1%

1% = 0.10833333

Multiply both sides by 100 to find 100%

100% = 10.83 to the nearest cent.

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Please help me,I give up on this.i just don’t get it.

Stolb23 [73]

Answer:

$y = -\frac{4}{5} x - \frac{14}{5}$
$y = \frac{5}{4} x -11$

Step-by-step explanation:

Given line ;

$y = \frac{5}{4} x -3\\\\m = slope\\m = \frac{5}{4}$

1. Perpendicular and passes through (4,-6)

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Substitute the values above into slope intercept form ; y=mx+b and solve for b.

$y =mx+b\\\\-6 = -\frac{4}{5} (4) + b\\\\-6 = -\frac{16}{5} + b\\\\-6 + \frac{16}{5} = b\\\\-\frac{14}{5} = b\\\\b = -\frac{14}{5}\\\\m = - \frac{4}{5}$

Substitute new values into ; y =mx+b.

$y = -\frac{4}{5} (x)- (\frac{14}{5} )\\\\y = -\frac{4}{5} x - \frac{14}{5}$

2.Parallel and passes through (4,-6)

$m = \frac{5}{4} \\\\(4,-6)=(x_1,y_1)$

Substitute values into point slope form and simplify

$y-y_1=m(x-x_1)\\\\y - (-6) = \frac{5}{4} (x -4)\\\\y+6 = \frac{5}{4} x -5\\\\y = \frac{5}{4} x -5-6\\\\y = \frac{5}{4} x -11$

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3 years ago

15. In the drawing, find the perimeter of triangle BIS.<br>

Nesterboy [21]

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

$BI \cong ST.... (given) \\$

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

$\frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\\frac{x}{12} = \frac{4}{x}\\\\x\times x = 12\times 4\\\\x^2 = 48\\\\x=\sqrt{48}\\\\x = 6.92820323\\\\x = 6.93\\$

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

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