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3 years ago

How do you express a fraction as a whole and turn it into a ratio I need it asap 5 1/2:4 1/2

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

Answer:

Step-by-step explanation:

rrr

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Algebra help needed

lesantik [10]

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

$0=-8(2 t-4)(t+1)$

$t=-1,2$

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

$h=-8(2 t-4)(t+1)$ ,

where h is the height in feet and t is time in seconds.

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.

$h=-8(2 t-4)(t+1)$

$\Rightarrow 0=-8(2 t-4)(t+1)$

Solve the equation using the Zero Product Property.

$2t-4=0\Rightarrow t=\dfrac{4}{2}=2$

$t+1=0\Rightarrow t=-1$

So, $t=-1,2$

7 0

2 years ago

The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape

Furkat [3]

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

$\textrm{Area of rectangle} = Length\times Width$

On substituting the given values we get

$510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\$

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ $x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15$