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yuradex [85]
2 years ago
9

Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is

="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D" id="TexFormula1" title="\frac{3}{5}" alt="\frac{3}{5}" align="absmiddle" class="latex-formula"> of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive.
Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0

Answer: $2.75

Step-by-step explanation:

Zeke's helmet cost 3/5 x 28.75 = 17.25

Change = 20 - 17.25 = 2.75

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0.003 is 1/10 of 0.03
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a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.
Lina20 [59]

Answer:

  No.

Step-by-step explanation:

We assume you're concerned with

  \sqrt{2x+1}+3=0

The sum of a non-negative number and a positive number cannot be zero. The square root is always non-negative.


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2 years ago
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A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inche
Mademuasel [1]

Answer:

The correct option is

A.  \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is \dfrac{1}{c} \times \left | x - 5 \right | = 0.3 or \left | x - 5 \right | = 0.3 \times c which gives the correct option as A

8 0
2 years ago
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

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3 0
2 years ago
What is the perimeter of rhombus WXYZ?
oksian1 [2.3K]

<u>Answer</u>:

The perimeter of rhombus WXYZ is 4 \sqrt{13}

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

Step 1 :Finding length  of  XY

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 5

x_2=3

y_1= -1

y_2=2

XY  = \sqrt{(3-5)^2 +(2 -(-1))^2}

XY  = \sqrt{(3-5)^2 +(2 +1))^2}

XY  = \sqrt{(-2)^2 +(3))^2}

XY  = \sqrt{4 +9}

XY  = \sqrt{(13)}

Step 2 :Finding length  of  YZ

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 3

x_2=5

y_1= 2

y_2=5

YZ  = \sqrt{(5-3)^2 +(5-2)^2}

YZ = \sqrt{(2)^2 +(3)^2}

YZ = \sqrt{4 +9}

YZ  = \sqrt{(13)}

Step 3 : :Finding length  of  ZW

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 5

x_2=7

y_1= 5

y_2=2

ZW = \sqrt{(7-5)^2 +(5-2)^2}

ZW  = \sqrt{(2)^2 +(3)^2}

ZW  = \sqrt{4 +9}

ZW = \sqrt{(13)}

Step 4 :Finding length  of  WX

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 7

x_2=5

y_1= 2

y_2= -1

WX = \sqrt{(7-5)^2 +((-1)-2)^2}

WX  = \sqrt{(2)^2 +(-3)^2}

WX  = \sqrt{4 +9}

WX = \sqrt{(13)}

Step 5: finding the perimeter of the rhombus

Perimeter= 4 X side

=> 4 \times \sqrt{13}

=> 4 \sqrt{13}

5 0
2 years ago
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