URGENT question is in the photo :)

Equation to find original price if sale price of $429 is a 34% discount

Burka [1]

Answer:

The original price is $650

Step-by-step explanation:

There's an actual algebra method for this, but this is my method because I find it way easier to remember.

Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.

Now, turn it into a decimal because it makes the numbers easier- 0.66.

Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.

So, 429 ÷ 0.66 = 650.

Therefore, the original price of the $429 sale price for a 34% discount is $650.

7 0

2 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

Find x. Please help with This problem!!!

Archy [21]

Step-by-step explanation:

7+2x-2 = 4x -3

5= 2x -3

2x = 8

x = 4

3 0

2 years ago

A 35-year-old G3P3 woman requests contraception. Her youngest child is seven years old. Her periods have been regular since she

Olin [163]

Answer:

E. Deep venous thrombosis

Step-by-step explanation:

According to a different source, these are the options that come with this question:

A. Depression

B. Smoking history

C. Severe nausea on combined oral contraceptives

D. Lactation history

E. Deep venous thrombosis

This woman would be a good candidate for the progestin-only pill because of her deep venous thrombosis, as contraindications to estrogen include a history of thromboembolic disease. Other contraindications include women who are lactating, women over 35 who smoke or women that have experienced severe nausea when using combined pills.

8 0

2 years ago

Two semicircles are attached to the sides of a rectangle as shown.

melomori [17]

Answer:

$157\ in^{2}$