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2 years ago

How much does a customer save for buying a sound system marked $1,200 at a discount of 15%

Mathematics

1 answer:

kramer2 years ago

7 0

Answer:

Step-by-step explanation:

Mp=$1200

Let sp be x

SP=MP-discount% of MP

x=1200-15/100 * 1200

x=120000-18000/100

x=102000/100

x=1020

the amount of money person saves=MP-SP

=$1200-$1020

=$180

therefore he saves $180

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A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What

bagirrra123 [75]

Answer: $\dfrac{2}{9}$

Step-by-step explanation:

Given

The spinner has 6 equal sections A, B, C, D, E, and F

The two events occurred one after the other. So, the probability is the product of the probabilities of each event.

There are two consonants in the given 6 letter

The probability of landing over a consonant is

$P_1=\dfrac{2}{6}$

The number greater than 2 in a cube are 3,4,5,6

So, probability corresponding to it

$P_2=\dfrac{4}{6}$

So, the required probability is

$\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}$

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3 years ago

a satellite's escape velocity is 6.5 mi/sec, the radius of the earth is 3960 mi, and the earth's gravitational constant is 32.2

Artyom0805 [142]

Answer:

$23.89x10^{6}$ ft

Step-by-step explanation:

$\frac{V^{2} }{R^{2} } = \frac{2g}{R+h} \\$ This is the formula to find satellite's escape velocity V , where R is earth's radius, h is the satellite's height from the earth surface and g is the earth's gravitational constant.

$R^{2}(R+h) \frac{V^{2} }{R^{2} } =R^{2} (R+h)\frac{2g}{R+h}$ (Multiplying to clear the fractions)

(R+h) $V^{2} =R^{2} 2g$

$R+h=\frac{2R^{2}g }{V^{2} }$

$h= \frac{2R^{2} g}{V^{2} } -R$

Now, we can determine height of satellite from the surface of the earth

by putting the values in above equation

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3 years ago

For the function defined by:

Eva8 [605]

The first function is represented by the green line, while the second is represented by the orange line

<h3>What are piecewise functions?</h3>

Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals

The function is defined by

$f(x) = \left \{ {{x^2,\ x\le1} \atop {2x + 1,\ x > 1}} \right.$

<h3>(a) Graph the first function</h3>

The first function in f(x) is defined by

$f(x) = x^2, \ x \le 1$

See attachment for the graph of the first function

<h3>(b) Graph the second function</h3>

The second function in f(x) is defined by

$f(x) = 2x + 1, \ x > 1$

See attachment for the graph of the second function

Read more about piecewise functions at:

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2 years ago

How would I write these problems?

konstantin123 [22]

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

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$H=30 cm$ the total height available in the dispenser

We are told that each cup added to the stack add a height of

$\Delta h = 0.8 cm$

We can therefore solve the problem by writing the following equation:

$H=h+N\Delta h$

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

$N=\frac{H-h}{\Delta h}=\frac{30-10}{0.8}=25$

And including the first cup, the total number of cups is

$N+1=25+1=26$

The equation that we have to solve is

$\frac{5}{2}x-1=-31$

We proceed as follows:

First of all, we add +1 on both sides of the equation,

$\frac{5}{2}x-1+1=-31+1\\\frac{5}{2}x=-30$

Now we multiply by 2 on both sides:

$\frac{5}{2}x\cdot 2=-30\cdot 2\\5x=-60$

And now we divide both sides by 5:

$\frac{5x}{5}=\frac{-60}{5}\\x=-12$

Let's call:

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f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

$k=\frac{3}{8}f-2$

By combining the two equations,

$13=\frac{3}{8}f-2$

And solving for f, we find:

$\frac{3}{8}f=13+2\\\frac{3}{8}f=15\\3f=15\cdot 8 =120\\f=\frac{120}{3}=40$

So, the father's age is 40.

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

$0.03 x$

This means that the amount of fuel left after x miles is

$16-0.03x$

We also know that the amount of fuel left is 4 gallons, therefore:

$16-0.03x=4\\0.03x=16-4\\0.03x=12\\x=\frac{12}{0.03}=400$

So, 400 miles.

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3 years ago

If the figure below is rotated 90° counterclockwise about the origin, what is the new location?

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The answer would be D.

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How much does a customer save for buying a sound system marked $1,200 at a discount of 15%​

How much does a customer save for buying a sound system marked $1,200 at a discount of 15%