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2 years ago

Adam rolls a die 96 times. How many times can he expect to roll a 4?

Mathematics

1 answer:

Fed [463]2 years ago

5 0

The answer is B. 96/4

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

8-2x<4 solve inequality

Andreas93 [3]

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4 < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

6 0

2 years ago

Raymond's Department Store sells dress shirts for $14.99. The cost to produce one dress shirt is $9.99 plus a one-time fee of $9

kirza4 [7]

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(18,269.82)

6 0

3 years ago

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(2-3a)(8+5a) please help me

IceJOKER [234]

Answer:

-15a² -14a+16

Step-by-step explanation:

2×8=16

2×5a=10a

-3a×8=-24a

-3a×5a=-15a²

16+10a-24a-15a² = -15a² -14a+16

7 0

2 years ago

What is 14/25 as a percent

coldgirl [10]

You simply divide, since it's a fraction. If you divide 14 b7 25, you get an answer of 0.56. :)

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3 years ago

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