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Wittaler [7]
3 years ago
8

An item is regularly priced at $21. It is on sale for 15% off the regular price of the item now

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

$ 17.85

Step-by-step explanation:

Regular price = $ 21

Reduction = 15% of regular price

                 = \frac{15}{100}*21\\\\= 0.15*21\\= 3.15

                 = $ 3.15

Price of the item after reduction = 21 - 3.15 = $ 17.85

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0
gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0

Divide this by t to get in linear form

y'+6y/t = t-1+1/t

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/te^(\int 1/tdt) = t

So solution would be

yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C

siubstitute y(1) = 16

16 = 16^3/3-128+1+C\\C = -1206

4 0
4 years ago
the hypotenuse of a right angled triangle is 26cm, if the other side 24cm. find the length of the third side​
weeeeeb [17]

You need Pythagorean theorem for this.

a² + b² = c², where c is the hypotheneus and a and b are the sides of the right triangle.

24² + x² = 26²

x² = 676-576

x = ±√100

x = 10 (-10 is rejected because length of triangle cannot be a negative number)

3 0
3 years ago
I need help with this please
lara31 [8.8K]

Answer:(-1,11)

Step-by-step explanation:

4 0
3 years ago
HELP WILL MARK RIGHT ANSWER BRAINLIEST
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
c) There are 32 students in a class. If the ratio of the number of boys and girls is 5:3, find the number of boys and girls. ​
stepladder [879]

Answer:

The no. of boys = 20

The no. of girls = 12

Step-by-step explanation:

Ratio of no. of boys to girls = 5 : 3

[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]

5x + 3x = 32

= 8x = 32

=x = 32÷8 = 4

5x = 5 x 4 = 20

3x = 3 x 4 = 12

5 0
2 years ago
Read 2 more answers
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