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ale4655 [162]
3 years ago
8

I understand but I got confused solving all three of these help.

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
I need help. I need help.
Olin [163]3 years ago
7 0
Let’s start with number 1.

First, we should take 20% off of the original price of the sweater. To do this, we first find 20% of 55 by doing 0.2*55

I got 11, so that is the discount on the sweater.

Next, we have to take off that discount from the sweater, so we do 55-11.

I got 44, so that is the price of the sweater with the discount.

Now I have to add the sales tax. The sales tax is 5.5%, so I have to find 5.5% of 44.

To do this I will do 0.055*44

I got 2.42

Now, I must add that to the 44

So, 44+2.42

I got 46.42 dollars as my answer for number two (the first question on your paper)


Now, numbers one and two at the bottom are dealing with simple interest. We need to use the equation I=prt.

Let’s start with number one. Let’s fill in what we know, and solve for what we don’t.

Interest= Not known yet

Principle= 700

Rate= 1.8% or 0.018

Time= 6

Okay, let’s make an equation to solve for what we don’t know.

I= 700 * 0.018 * 6

Solve by multiplying.

I got 75.60dollars as the answer

Now, the last problem. Same method as before.

Interest= 126

Principle= Not known yet

Rate= 1.2% or 0.012

Time= 7

Let’s set up the equation

126= p*0.012*7

Multiply 0.012 and 7, then divide 126 by that answer.

I got 1,500 dollars as the principle amount (her deposit)

Overall, here are the answers in order of the questions

46.42 dollars

75.60dollars

1,500 dollars as the principle amount (her deposit)



Hope this helped! Comment if you have any questions or concerns! :)
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-3|9x-7|=2 Find the answer for x
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<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

-3|9x -7| = 2

Rewriting the given equation:

-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}

We have to realize that the right side of the equation, |9x -7|, will always be positive no matter what real values of x (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, -\frac{2}{3}\\. Something that is always positive will never be negative so there's no value for x that satisfies the solution.

\rule{6.5cm}{0.5pt}

<em>You</em><em> </em><em>may</em><em> </em><em>not</em><em> </em><em>read</em><em> </em><em>the</em><em> </em><em>following</em><em> passage</em><em> </em><em>that</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>written.</em>

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Solving by positive of the expression:

9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}

Solving by the negative of the expression:

-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\  9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}

Checking: x = \frac{19}{27}\\

-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{19}{27}\\ is an extraneous solution.

Checking: x = \frac{23}{27}\\

-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{23}{27}\\ is an extraneous solution.

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The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec
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ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
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If $1 is equivalent to R8 and the total oil costs $95 you must multiply 8x95. This leaves you with an answer of R760

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