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mel-nik [20]
2 years ago
15

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours. Find both the miles driven per hour and the hours driven per mil

e.
Mathematics
1 answer:
amid [387]2 years ago
7 0

Miles driven per hour is 60 miles per hour

Hours driven per mile is 0.01667 hours per mile

<em><u>Solution:</u></em>

Given that,

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours

Therefore,

Miles driven = 210 miles

Time\ taken = 3\frac{1}{2}\ hour = \frac{7}{2} = 3.5\ hour

To find: miles driven per hour and the hours driven per mile

<h3><u>Miles driven per hour</u></h3>

\frac{miles}{hour} = \frac{210}{3.5}\\\\\frac{miles}{hour} = 60\ miles\ per\ hour

<h3><u>Hours driven per mile</u></h3>

\frac{hours}{miles} = \frac{3.5}{210}\\\\\frac{hours}{miles} = 0.01667\ hours\ per\ miles

Thus both the miles driven per hour and the hours driven per mile are found

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This is an expression if she only gets pedicure
y = 35

If she wants to get massage, multiply the cost for a minute with the number of minutes.
Find cost per minute first
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5 0
2 years ago
Using a 16-sided number cube, what is the probability that you will roll a multiple of 4 or an odd prime number? The number 1 is
iogann1982 [59]
<h3>Answer: 0.563 (choice C)</h3>

================================================

Explanation:

E = event space

E = set of outcomes we want to happen

E = rolling a multiple of 4 or rolling an odd prime number

E = {4,8,12,16     3,5,7,11,13}

n(E) = number of items in set E

n(E) = 9, (four multiples of 16+five ways to roll odd prime number)

-----

S = sample space

S = set of all possible outcomes (whether we want them to happen or not)

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}

n(S) = number of items in set S

n(S) = 16

-----

P(E) = probability of event space occurring

P(E) = probability of rolling a multiple of 4 or rolling an odd prime number

P(E) = n(E)/n(S)

P(E) = 9/16

P(E) = 0.5625

P(E) = 0.563

3 0
2 years ago
A gas engine is 6% efficient. What portion of a 12 gallon tank of gas is wasted?
Softa [21]

Answer:19.74 gallons of the gas in the tank is wasted.

Step-by-step explanation:

Since the efficiency of the gas engine is 6%, wastage is #= 100 - 6 = 94%.

Therefore wastage = 94% x 21=94 x21/100=19.74 gallons

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2 years ago
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QveST [7]

Answer:

The Laplace transform of f(t) = 1 is given by

F(s) = (1/s) for all s>0

Step-by-step explanation:

Laplace transform of a function f(t) is given as

F(s) = ∫∞₀ f(t) e⁻ˢᵗ dt

Find the Laplace transform for when f(t) = 1

F(s) = ∫∞₀ 1.e⁻ˢᵗ dt

F(s) = ∫∞₀ e⁻ˢᵗ dt = (1/s) [-e⁻ˢᵗ]∞₀

= -(1/s) [1/eˢᵗ]∞₀

Note that e^(∞) = ∞

F(s) = -(1/s) [(1/∞) - (1/e⁰)]

Note that (1/∞) = 0

F(s) = -(1/s) [0 - 1] = -(1/s) (-1) = (1/s)

Hope this Helps!!!

8 0
2 years ago
There are 600 pages in a novel. Rui feng reads 150 pages of the novel on friday and 40% of the remaining pages on sunday express
nadya68 [22]

Step-by-step explanation:

percentage

current number/total number * 100

150/400*100 is 37.5%

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