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otez555 [7]
3 years ago
15

Snow Crest is 11,508.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x repr

esent the elevation of Mt. Wilson. The equation to find the elevation of Mt. Wilson is ____-x=_______. The elevation of Mt. Wilson is _______ feet.
Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

16642.1 feets

Step-by-step explanation:

Given :

Elevation of Mt. Wilson = x

If the elevation of snow crest = y

Snow crest = 11,508.21 feet higher than Mt. Wilson

Hence, y = 11,508.21 + x

The elevation of Mt. Wilson, x = y - 11,508.21  feets

From the table, elevation of Snow crest = 28,150.31 feets = y

Hence, The elevation of Mt. Wilson, x = y - 11,508.21  feets

x = 28,150.31 - 11,508.21

x = 16642.1 feets

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If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c
Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

<u>First, we need to calculate the average total cost:</u>

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

<u>Now, we can calculate the break-even point in units:</u>

<u></u>

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

<u>For the desired profit of $10,000:</u>

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

<u>Finally, fixed costs dropped by $8,000:</u>

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

5 0
3 years ago
What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?
Daniel [21]

Answer: divide by 6?

Step-by-step explanation:

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

If we actually guess and check by dividing by 1, then 2, then 3, then etc. we will get the answer. I tried and divided by 6, which is 4, which is a perfect square. Do not trust me completely on this, for I am not quite sure.

7 0
2 years ago
A merchant has coffee worth $20.00 per pound that she wishes to mix with 70 pounds of coffee with​ $90.00 per pound to get a mix
Crank

20x-1000 +4000 = 60x

20x-60x= -4000 +1000

-40x= -3000

x= -3000/-40

75 The mix will be 75 lbs

And $20 coffee will be 75 -50 = 25lbs


6 0
3 years ago
if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.
Marrrta [24]

Answer:

\large\boxed{H=135\ cm}

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have the radius r = 12cm and the height H = 20cm. Substitute:

V=\pi(12^2)(20)=\pi(144)(20)=2880\pi\ cm^3

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm

7 0
4 years ago
Is 10.78778777 a rational or irrational​ number
3241004551 [841]

Answer:

Im pretty sure its irrational

Step-by-step explanation:

5 0
3 years ago
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