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padilas [110]
3 years ago
8

A Playstation 5 gaming console is initially priced at $500 and the price rises such that the new price is $550. What is the perc

ent increase of the Playstation 5?
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

10%

Step-by-step explanation:

raises $50 from $500 500/50= 10=10%

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A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.
CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0
3 years ago
Determine the length of the unknown sides for the right triangle
alisha [4.7K]

Answer:

Below in bold.

Step-by-step explanation:

sin 66.4 = opposite side / hypotenuse

sin 66.4 = 21.3 / y

y = 21.3 / sin 66.4

y = 23.24.

tan 66.4 = 21.3 / x

x = 21.3 / tan 66.4

x = 9.31.

3 0
3 years ago
Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th
soldier1979 [14.2K]

Answer:

\frac{9}{20} students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}

\text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}

\text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}

\text{Students who play a sport and a part of the drama club}=\frac{9}{20}

Therefore, \frac{9}{20} students play sport and part of the drama club.

5 0
3 years ago
Five times a number increased by 8 is seven less than 6 times the number. Find the number.
maksim [4K]

Answer:

15 = x

Step-by-step explanation:

3 0
3 years ago
Your friend is trying to see if you can guess the two numbers she secretly has written on her paper. Your friend tells you that
DaniilM [7]

Hello,

First we work out the equations:

x + y =62 will be the first equation.

2x= y +13 is the second equation.

We can first rewrite the second equation as 2x – y =13.

So we have:

x + y = 62

2x –y =13

KEEP IN MIND: With y being positive in one of the equations and negative in the other, we can combine the equations to quickly eliminate y and solve for x.

x + y = 62

+2x –y =13

3x = 75 divide both sides by 3 to get x.

x = 25

Now that we have x we can substitute the value for x, 25.

25 + y = 62 we can subtract 25 from both sides to get y.

y = 62- 25

y = 37

2(25) = 37 + 13

Therefore,

50 = 50

Have a amazing day.

3 0
2 years ago
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