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leva [86]
3 years ago
11

The Big Bike Shop has in line skates in sale for 15% off the regular price. A pair of in line skates usually cost $89. Find the

amount of the discount and the sales price?
Mathematics
1 answer:
Paul [167]3 years ago
8 0
89*0.85=75.65

89-75.65=13.35

Discount: 13.35
Sale price: 75.65
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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

5 0
3 years ago
Use the functions f(x)=2x and g(x)=x^2+1 to find the value of each expression
Alinara [238K]

Answer:

1.  20

2. 23

3. 6

Step-by-step explanation:

We have that:

f(x) = 2x

g(x) = x² + 1

f(g(x)) is the composite function of f and g. So

f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2

1. f(g(3))

f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20

2. f(3)+g(4)

f(3) = 2(3) = 6

g(4) = 4² + 1 = 17

f(3) + g(4) = 6 + 17 = 23

3. f(5) - 2g(1)​

f(5) = 2(5) = 10

g(1) = (1)² + 1 = 2

f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6

6 0
3 years ago
You have $427 in your bank account and need to pay some bills. The electric bill is $62. The cable bill is $78 and the phone bil
algol13
<span>427 - 62 - 78 - 54 = 233

You will have $233 dollars left in you bank account</span>
6 0
2 years ago
Read 2 more answers
One of my students got 95 and 98 for the two Principal tests and for the final test. What is the average of her three tests? Wha
timofeeve [1]
97% because that is the average of the three test scores.
3 0
3 years ago
The price of an item has been reduced by 40%. The original price was $60. What is the price of the item now?
erik [133]
To reduce the item by 40%, you first need to find the 40% of 60. Multiply 0.4*60 and you will get 24. That is 40%. Now you need to subtract that from the original. 60-24 is 36 dollars and that is your answer.
4 0
3 years ago
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