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Fantom [35]
3 years ago
13

Sweater:regular price 50$ sale price ,42.50

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0
The discount is $7.5 if the discount is what you are looking for.
$50 - $42.50 is $7.5
If you are looking for a percentage then the answer is 85%
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Johns car averages 28 miles per gallon. how far can her drive on 8.25 gallons
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Answer: The correct answer is 231 miles

Step-by-step explanation: 28 miles to the gallon x 8.25= 231 miles

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3 years ago
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

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3 years ago
Harry pays $540.00 for one dozen collector edition baseball cards. How much does he pay for each baseball card?
astraxan [27]

Answer:

45 dollars

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If X and Y vary directly, as x decreases, what happens to the value of y?
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As x decreases y also decreased
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What is the solution to this inequality?
solong [7]

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

<h3>x>-4</h3>
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3 years ago
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