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3 years ago

Can someone help plz?????

Mathematics

2 answers:

Keith_Richards [23]3 years ago

6 0

Answer:

Step-by-step explanation:

-2-(-4) = -2 + 4

B shows subtracting 2 to the left then adding 4 to the right.

kozerog [31]3 years ago

6 0

Answer:

Step-by-step explanation:

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Gavin rolls a fair dice 48 times. How many times would Gavin expect to roll an even number?

pantera1 [17]

Answer: The number of times Gavin expect to roll an even number =24

Step-by-step explanation:

Given: Numbers of a fair dice = 1, 2, 3, 4, 5, 6

even numbers = 2, 4, 6

odd numbers = 1, 3, 5

Probability of getting an even number = $\dfrac{3}{6}=\dfrac12$

If Gavin rolls a fair dice 48 times.

Then, the number of times Gavin expect to roll an even number = $48\times\dfrac12=24$

Hence, the number of times Gavin expect to roll an even number =24

6 0

3 years ago

Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.

zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the initial price is $500, the value depreciates 10% each year because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after fourth year 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

y= 500(.9)^x

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

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0

3 years ago

If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.

zhannawk [14.2K]

Answer:

$h= 2x$

Step-by-step explanation:

Given

Square

$Side = x$

Triangle

$Base = x$

$Altitude = h$

Required

Find h, if both shapes have the same area

The area of the square is:

$Area = x * x$

$Area = x^2$

The area of the triangle is:

$Area = \frac{1}{2} * Base*Height$

$Area = \frac{1}{2} * x*h$

Equate both areas

$x^2 = \frac{1}{2} * x*h$

Divide both sides by x

$x = \frac{1}{2} *h$

Multiply both sides by 2

$2*x = \frac{1}{2} *h*2$

$2x = h$

$h= 2x$

3 0

3 years ago

8 is 20% of what number

Margarita [4]

20% of 40 is 8. so 40

3 0

3 years ago

Read 2 more answers

If g(x) = x+1/ x-2 and h (x) =4 - x , what is the value of ( g*h) (-3)?

Lapatulllka [165]

Answer:

g (h (x) ) = 5/8

Step-by-step explanation:

We are given the following two functions and we are to find the value of $g ( h ( - 3 ) )$ :

$g ( x ) = \frac { x + 1 } { x + 2 }$

$h ( x ) = 4 - x$

Firstly, we need to find the function :

$g ( h ( x ) ) = \frac { ( 4 - x + 1 ) } { ( 4 - x - 2 ) } = \frac { 5 - x } { 2 - x }$

Now substituting the value $x=-3$ in it:

$g ( h ( x ) ) = \frac { 5 - (-3) } { 2 - (-3) }$

g (h (x) ) = 5/8

5 0

3 years ago