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2 years ago

Suppose y varies inversely as x, and y = 16 when x = 1/2. Find y when x = 17.

Mathematics

1 answer:

MArishka [77]2 years ago

5 0

Finding the proportionality constant :

y = k/x
16 = k/(1/2)
k = 8

Finding y when x = 17 :

y = 8/(17)
y = 8/17

The value of y is 8/17 when x = 17.

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A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For

BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

1. Data:

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

2. Equation:

speed = distance / time

s = d / t

3. Solution:

Solve the equation for t:

s = d / t ⇒ t = d / s

Substitute values:

t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

5 0

3 years ago

PLZ HELP!!!!!!!!!!!!!!!!!!

Inessa05 [86]

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= $-6x^2+100x-180$

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x $= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

$= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$$

$= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$$

$= \frac{-100\pm\sqrt{5.680}}{-12}$$

$= \frac{-100 + 75.3658}{-12}$$

$= \frac{24.6342}{-12}$

x^1 = -2.05285

Now

x^2 $= \frac{-100 - 75.3658}{-12}$$

$= \frac{- 175.3658}{-12}$

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

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3 years ago

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lyudmila [28]

A n s w e r :

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3 years ago

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Vesna [10]

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3 years ago

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Carol went on a holiday to Bristol.

Leviafan [203]

Answer:

658.91$

Step-by-step explanation:

Find the total cost

flight cost 397$

staying at the hotel for 6 night cost 6 x 28.43£

= 170.58£ = 233.69$

breakfast for 4 morning cost 4 x 5.15£= 20.6£

= 28.22$

Total cost is 397$+233.69$+28.22=658.91$

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2 years ago