The New York Knicks play in Madison square garden, the Los Angeles Lakers play in the staples center and the Miami heat play in American Airlines arena. Madison square garden is about 2.810^3 miles from staples center and Madison square garden is about 1.410^3 miles from American Airlines arena. How many times of the distance the knicks play the Miami heat to the distance the knicks travel to play the lakers?

Answers

Answer 1

Answer:

The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

Explanation:

Teams and their courts.

New York knicks - Madison square garden

Los Angeles Lakers - Staples center

Miami heat - American Airlines arena

Distance between courts.

Madison square garden to Staples center = $2.8*10^3miles$

Madison square garden to American Airlines arena = $1.4*10^3miles$

When knicks play Miami heat distance traveled = Distance between Madison square garden and American Airlines arena

= $1.4*10^3miles$

When knicks play Los Angeles Lakers distance traveled = Distance between Madison square garden and Staples center

= $2.8*10^3miles$

Ratio of distances traveled = $(1.4*10^3)/(2.8*10^3) =0.5$

So, The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

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Right and solve an equation that can be used to find the width of the backyard that is 120 feet long and has a perimeter of 330 feet

Answers

The width of backyard is 45 feet.

Step-by-step explanation:

Given,

Length of backyard = 120 feet

Perimeter of backyard = 330 feet

Width of backyard = w

Perimeter = 2(Length + Width)

$330=2(120+w)\n330=240+2w\n330-240=2w\n90=2w\n2w=90$

Dividing both sides by 2

$(2w)/(2)=(90)/(2)\nw=45$

The width of backyard is 45 feet.

Keywords: perimeter, division

Learn more about perimeter at:

#LearnwithBrainly

The library is designing a book display with fiction books 28 biographies and 40 non fiction books. Each shelf will have only one type of book on it. Sheena says she can put 5 books on each shelf. She listed the common factors of 20,28,and 40 below to support her reasoning

Answers

If the question is how many shelves are needed, then the answer is 18 shelves.

Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

$x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

What is the reciprocal of 5/6

Answers

the reciprocal of 5/6 is 6/5 because the reciprocal is the numbers flipped around. For an example -5 thr reciprocal will be +5

Its 6/5 becuase basically fliping the number thats it

Find the unit rate for 219
heartbeats in minutes

Answers

3.65 is the answer ok?

3.65 kutekitty is correct

Select the graph of the solution. Click until the correct graph appears. |x|= -5

Answers

graph of |x|=-5 is not possible.

We know that modulus makes everything inside it as positive.

To make the graph of equations with modulus functions, we need to make cases as to check the behavior of the modulus. In this:

CASE-1 :

when expression inside modulus is positive,i.e., x ≥ 0, ∴ |x| = x

Now, |x| = -5

x = -5 ; but we assumed x ≥ 0

So, this case is false.

CASE-2 :

when expression inside modulus is negative,i.e., x < 0, ∴ |x| = -x

Now, |x| = -5

-x = -5

x = 5 ; but we assumed x < 0

So, this case is also false.

In these two cases all the real possible values of x is covered.

Therefore no real value of x satisfies the equation. So, this is false and no graph for it is possible.

Answer:

No Solution

Step-by-step explanation:

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