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klasskru [66]
3 years ago
11

A television normally costs $1,420. Due to a store sale, the television is now $1,022.40. What was the percentage taken off the

television? ( Please show me the work, thanks)
Mathematics
2 answers:
olganol [36]3 years ago
7 0

Answer:

The discount is 28%

Step-by-step explanation:

The original value of the TV is $1,420, that is the 100% of the value. If we want to find the discount value we could calculate as follows:

D=1-(\frac{price with discount}{full price} )\\D=1-\frac{1022.40}{1420} \\D=1-0.72\\D=0.28

The discount is 28%

Anettt [7]3 years ago
5 0
The TV is 28% off. You can verify this by dividing 1022.4 by 1420 and getting 0.72. That's how much of the price you have to pay.

So you just subtract .72 from 1 to .28
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Simplify the square root of 6 * the square root of 8
Troyanec [42]

Answer:

Step-by-step explanation:

4√3

4 0
3 years ago
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Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, <em>this means n(A) = 6.</em>

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

<em>The number of whole number in the set is therefore infinite. </em>

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation  (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

<em>The number of whole number in the set is n(C) = 2</em>

d)  D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

<em>The total number of elements in both set = 29 i.e n(D) = 29 </em>

3 0
3 years ago
What is the measure of ∠L?
otez555 [7]
<h3>Answer:  72.54</h3>

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

8 0
2 years ago
a local high schools cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competitio
svlad2 [7]
We have:

Volume of cone = 535 cm³ at the maximum
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We know the formula to find volume of cone is \frac{1}{3} r^{2}  \pi h

We need to find the radius of the base of the cone
535= \frac{\pi  r^{2}8} {3}
535*8= \pi  r^{2}
\frac{4280}{\pi}= r^{2}
r= \sqrt{ \frac{4280}{ \pi}   }
r=36.9 to the nearest one decimal place

The width of the opening of the cone is the diameter of the circle. Diameter is twice the radius, hence 2×36.9=73.8 cm
8 0
3 years ago
What is the distance between the following points?
Elenna [48]

Answer:

11

Step-by-step explanation:

there are 11 spaces between the points

just count the number of spaces, no calculations needed.

6 0
3 years ago
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