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Tresset [83]
3 years ago
5

Cedar Point amusement park has some of the tallest roller coasters in the United States. The Mantis is 165 feet shorter than the

Millennium Force. Write and solve an equation that can be used to find the height x of the Mantis. ______|______|=165 The height of the Mantis is feet.
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

145 ft

Step-by-step explanation:

According to Cedar Pt web site, the height of the Millennium Force=310'

the Mantis is 165 feet shorter than the Millennium Force

the height of the Mantis=310-165=145'

here ' means feet

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At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe
Anna35 [415]

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

6 0
3 years ago
If the bookshelf is 51 inches tall how tall Is it in feet
tangare [24]
The bookshelf would be 4 feet 3 inches.
3 0
3 years ago
Read 2 more answers
Please take your time but I really need anyone's help!!!!
stiv31 [10]

Answer:

C) 5 3√2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
Read 2 more answers
Justine correctly multipled the decials shown. How can the product be correct without three decial places 8.5 x 2.34 = 19.89
Sloan [31]

Answer:

The answer is "19.89".

Step-by-step explanation:

Given:

\to 8.5 \times 2.34

Solution:

     8.5 \times  2.34 \\-----\\

          340 \\

        255 \times

     \\ 17 0\times \times

-------\\

     19.890

\to 19.890 \approx 19.89

that's why the answer is correct.

6 0
3 years ago
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