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laiz [17]
2 years ago
8

Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price.

Mathematics
1 answer:
LiRa [457]2 years ago
3 0

55-(55×0.18)=p

A discount is the percentage of the item minus the original price. Because you need to take 18% off of 55, you need to first convert 18% to a decimal. Do this by moving the decimal point two spots to the left:

18=0.18

Then, you must find out what 18% of 55 is. Do this by multiplying 0.18 by 55:

0.18×55=9.9

Then you must subtract 9.9 from the original 55:

55-9.9=45.1

To find the equation, you combine all of these steps into one equation:

55-(55×0.18)=p

You would then follow GEMDAS to solve the equation, if needed.

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yKpoI14uk [10]
Your question asks for an expression, so you would expect an answer in the form of an equation containing variables. This is because you have only 2 independent equations with 3 unknowns. That makes the system unsolvable. 

Suppose v₁ is the mountaineer's velocity during the 1,000-foot trail. Then, v₂ is his speed for the 5,000-foot trail. The equation relating these two variables is:

v₂ = 2v₁ - 10 ---> equation 1

Then, you find the equation for the total number of hours he climbed. That would be the distance divided by their respective speed.

t = 1000/v₁ + 5000/v₂ ----> equation 2

Substituting equation 1 to equation 2,

t = 1000/v₁ + 5000/(2v₁ - 10)
t = 1000/v₁ + 5000/2(v₁-5)
t = 1,000/v₁ + 2,500/(v₁-5) 
3 0
2 years ago
In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one and one ( if he makes
Anna11 [10]
Situations:
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P(A) = 0.4 · 0.4 = 0.16  ( 16 % )
2) he makes 1 st shot + he misses 2nd shot
P(B) = 0.4 · 0.6 = 0.24   ( 24 % )
3) he misses 1st shot and he has no more attempts
P (C) = 0.6 ( 60 %)
0.16 · 2 + 0.24 · 1 + 0.6 · 0 = 0.32 + 0.34 = 0.56
The expected value is 0.56 points.
6 0
2 years ago
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What is the multiplicative rate of change of the exponential function represented in the table? 1.5 2.25 3.0 4.5
Sati [7]
Use the geometric sequence formula to solve for rate:
an=a1r^(n-1)

6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875

1.5 is the multiplicatice rate hope that helps :)
8 0
2 years ago
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One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4
ololo11 [35]
The question is incomplete because it must content a list of choices to select the right one.

Any way, a conclusion that you can make, and that is a common one for this kind of questions, is about whether the sum of the numbers of the second column may or not be the same sum of the numbers of the first column.

The condition for the two sums be the same is that when the digits of the second column are added together the result be the same obtained for the sum of the digits of the first column. In this case that is 6.

So, the possible answer is:

<span>If the end result from the second column is not 6, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.</span>
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kolezko [41]

Answer:

x=1 and x=-4

Step-by-step explanation:

Put it into your calculator, go to graph and look at which points it says ERROR.

4 0
2 years ago
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