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padilas [110]
3 years ago
10

Percent of discount is 25% and the sale price is 40$ what is the original amount?

Mathematics
1 answer:
Crank3 years ago
6 0
<span>Percent of discount is 25% and the sale price is 40$ what is the original amount? $160

percent of discount is 5% and the sale price is 57$ what is the original amount? $60

percent of discount is 80% and the sale price is 90$ what is the original amount? $112.5

percent of discount is 15% and the sale price is 146.54$ what is the original 
amount? $976.93

the original price is 60$ and the sale price is 45$ what is the percent of discount? 25%

original price is 82$ and the sale price is 65.60$ what is the percent of discount? 20%

original price is 95$ and the sale price is 61.75$ what is the percent of discount? 35%</span>
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Find the width of a cereal box that has a volume of 2,112 cm^3 and is 22 cm long and 24 cm high.
allochka39001 [22]
Divide 2112 by 24 and 22 to find your answer.

the answer is 4.

brainlisest please.
3 0
3 years ago
Find x?<br> In 3x - In(x - 4) = ln(2x - 1) +ln3
earnstyle [38]

Answer:

x = \displaystyle \frac{5 + \sqrt{17}}{2}.

Step-by-step explanation:

Because 3\, x is found in the input to a logarithm function in the original equation, it must be true that 3\, x > 0. Therefore, x > 0.

Similarly, because (x - 4) and (2\, x - 1) are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, x > 4.

Let a and b represent two positive numbers (that is: a > 0 and b > 0.) The following are two properties of logarithm:

\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right).

\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right).

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}

Right-hand side of this equation:

\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right).

Equate these two expressions:

\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}.

The natural logarithm function \ln is one-to-one for all positive inputs. Therefore, for the equality \begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned} to hold, the two inputs to the logarithm function have to be equal and positive. That is:

\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1).

Simplify and solve this equation for x:

x^2 - 5\, x + 2 = 0.

There are two real (but not rational) solutions to this quadratic equation: \displaystyle \frac{5 + \sqrt{17}}{2} and \displaystyle \frac{5 - \sqrt{17}}{2}.

However, the second solution, \displaystyle \frac{5 - \sqrt{17}}{2}, is not suitable. The reason is that if x = \displaystyle \frac{5 - \sqrt{17}}{2}, then (x - 4), one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be \displaystyle \frac{5 + \sqrt{17}}{2}.

Therefore, x = \displaystyle \frac{5 + \sqrt{17}}{2}.

7 0
3 years ago
Help!! Create a set of coordinates to model a relation that is a linear function.
grigory [225]

Answer:

You can group a ratio or a multiple of x or y to prove a linear function.

To set coordinates randomly pick a title ie) rise in price for matches over 40 years.

$14 yr 10   $20 yr 11 etc. $25 year 12 etc.

We show yr 0 = 0  yr 1 = 8 and if 8 is the price we have a ratio start of 1:8 upon year 1. we then pinpoint the data what year was $16 and we know that yr 10 = $14 so yr 11 = $16.

Once we can write a format which isn't asked we can prove the relationship target of the graph would be x8

As the x y relationship coordinates can be shown here.

= 1 , 8

2 ,16

3 ,24

4, 32

and then change number of years to decades. To make a linear equation work we could change the rate upon the decade that shows a more stable rate of change to be of significance and easier to read.

Step-by-step explanation:

A linear function is a type of function of x and y proves a single line.

When a given ratio or rate of increase occurs ie) xy = 1/8 or 8/1 we can set the 1-4 decades spaced out on a graph and go up by decades since 1980 = decade 1, decade 2 decade 3 decade 4

for x value and for y we have price the actual data of change.

Therefore y = price change from $8 - $32 in last 40 years to appeal to advertisers who want to be ethical and fair for customers who pay more than $32 a game, they look for linear graphs that can show least amount cost of a ticket and average price ticket and compare success stories in advertising to crowds to further testing graphs before advertising so that companies can test advertising before sponsorship which is one way of investment, that can help ease costs of selection of tickets and go full circle for the financier of such games.They need linear graphs to compare to other business as each linear graphs can show better stability. So it is a good example to show costs and prices as prices demonstrate exactly how companies grow compared to their competitors.

7 0
3 years ago
Read 2 more answers
What is 4/9 over 21?
earnstyle [38]

Answer:

0.02116402116

Or otherwise written as- 0.211

3 0
3 years ago
Read 2 more answers
A) Rearrange the equation to make w the subject. 2(1 + W) = P
insens350 [35]

Answer:

Step-by-step explanation:

2(1 + W) = P\\Divide -both-sides-of-the-equation-by ; 2\\\frac{ 2(1 + W) }{2} = \frac{P}{2} \\1+ W = P/2\\W = \frac{P}{2} -1\\\\(b .)  2y = 10x + 6\\Re -write -in -slope-intercept-form : y= mx+b\\\frac{2y}{2} =\frac{10x}{2} +\frac{6}{2} \\y = 5x + 3\\Gradient = 5

4 0
3 years ago
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