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1 year ago

There are 60 people waiting for a river raft ride. Each raft holds

Mathematics

1 answer:

andrey2020 [161]1 year ago

8 0

If there are 60 people waiting for a river raft ride. Each raft holds

15 people. how Silvia's work can be used to find the number

of rafts needed is: total number of people/Number of people holded by each raft.

<h3>Number of rafts needed</h3>

Using this formula

There are 136 people waiting for a river raft ride each raft holds 8 people.

Number of rafts needed=Number of people/Capacity of raft

Where:

Number of people = 60

Capacity of raft = 15 people

Let plug in the formula

Number of rafts needed=60/15

Number of rafts needed=4 rafts needed

Therefore if raft holds 15 people. how Silvia's work can be used to find the number of rafts needed is: total number of people/<em>Number </em>of people holded by each raft.

Learn more about Number of rafts needed here:brainly.com/question/8361379
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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

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Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

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Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

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Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

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3 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle

Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × $r^{2}$ × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 $cm^{3}$ .

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × $r^{2}$ × h = 211 ; (π = 3.15)

⇒ $r^{2}$ × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

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3 years ago

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Answer:

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