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tiny-mole [99]
3 years ago
12

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the

number of yards the car can travel on gallon of gas
Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

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A length of a rope is 8 meter long how many 2/5 meter pieces can be cut from the length of the rope
kozerog [31]
8 /  \frac{2}{5}  = 8 *  \frac{5}{2}  = 4*5 = 20
7 0
3 years ago
Can someone help me with these? WILL GIVE BRAINLIEST
Ganezh [65]

Answer:

1) no; 202 + 212 ≠ 282

2) yes; 142 + 482 = 502

3) 2

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6 0
3 years ago
If a simple harmonic motion is described by x = 3 cos(πt), starting from t = 0 s, what is the first occurrence of a value of t f
poizon [28]

Answer:

The first occurence of t for which x = 0 is t = 0.5.

Step-by-step explanation:

The harmonic motion is described by the following equation.

x(t) = 3\cos{\pi t}

What is the first occurrence of a value of t for which x = 0?

This is t when x(t) = 0. So

x(t) = 3\cos{\pi t}

3\cos{\pi t} = 0

\cos{\pi t} = \frac{0}{3}

\cos{\pi t} = 0

The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.

\arccos{\cos{\pi t}} = \arccos{0}

\pi t = \frac{\pi}{2}

t = \frac{\pi}{2 \pi}

t = \frac{1}{2}

t = 0.5

The first occurence of t for which x = 0 is t = 0.5.

3 0
3 years ago
Bob and will toss two coins. if both coins come up heads, bob pays will $6. will pays bob $2 otherwise. what is the expected val
Helga [31]
Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.

The expected value of the game is the price paid/gained times the probability of loss/victory:

E = (1 / 4) · (-6) + (3 / 4) · (2)
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   = 0

Bob expects to tie with Will.


6 0
3 years ago
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Which integer is bigger? -8 or -7?
Phantasy [73]

Answer:

-7

Step-by-step explanation:

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6 0
3 years ago
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