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ipn [44]
3 years ago
8

A television is discounted 20% in a sale. A shopper has a coupon for an additional 15% off the sale price. Which of the followin

g is the total percent discount from the original price of the television?
Mathematics
1 answer:
exis [7]3 years ago
5 0
The total is 35% off of the original price.

Step by step explanation:

If the television is discounted by 20% in a sale and the shopper also has a coupon for an additional 15% of the sale price than you just add up the percentages and that’s the total percent of the discount.

I hope this helped you understand! :)
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Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chri
JulsSmile [24]

Answer: The price of each small box is $4.8  and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36  ...(i)

4x+y= 30  ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8  and the price of each large box is $10.8.

5 0
3 years ago
Help with this question please! Give explanation! Big points
BigorU [14]

Answer:

y = 2

Step-by-step explanation:

This answer is easily found using the Pythagorean Theorem:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

where A and B are the legs, and C is the hypotenuse of the triangle.

{(16)}^{2}  +  {(6y)}^{2}  =  {(10y)}^{2}  \\ 256 +  36{y}^{2}  = 100 {y}^{2}  \\ 256 = 64 {y}^{2}  \\  \sqrt{256}  =  \sqrt{64 {y}^{2}} \\ 16 = 8y \\ y = 2

5 0
3 years ago
Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2).

Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}.

Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

Now, recall the definition of the complex exponential:

e^{z}=e^{x+iy} = e^x(\cos y +i\sin y).

So,

e^{2i-3} = e^{-3}(\cos 2+i\sin 2)

e^{-2i+3} = e^{3}(\cos 2-i\sin 2) (we use that \sin(-y)=-\sin y).

Thus,

e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

Now we group conveniently in the above expression:

e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2.

Now, substituting this equality in (I) we get

\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2.

Thus,

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

5 0
3 years ago
Help I will Give Brainliest if Correct!
Leni [432]

Answer:

8.5 units

Step-by-step explanation:

(-1, 1) squared + (7,4) squared = formula

Distance 8.5 is rounded to the nearest 10

7 0
3 years ago
Can anyone please help me?
sasho [114]

Answer: I can't see if

Step-by-step explanation: Hope this notifys u

6 0
3 years ago
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