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Kisachek [45]
3 years ago
14

Four gallons of gasoline cost $16.80. What is the price per gallon (also known as the slope of the line)?

Mathematics
1 answer:
il63 [147K]3 years ago
5 0

$16.80 / 4 gallons = $4.20 per gallon

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Emilie rides her bike x miles before she gets a flat tire. She walks 1/3mile to a bus stop and then takes a bus for 2 1/2miles.
ICE Princess25 [194]

Given :

Emilie rides her bike x miles before she gets a flat tire.

She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.

To Find :

Which expression shows how many miles Emilie travels in all.

Solution :

We know, total distance covered is given by sum of all the distance she travelled.

Distance covered, D = x + 1/3 + 2 1/2

D = x + 1/3 + 5/2

D = (6x + 2 + 15)/6

D = (6x + 17)/6

Therefore, total distance travelled by Emilie is (6x + 17)/6 .

7 0
2 years ago
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
Percent equations the question is blank % of 75 = 30
lubasha [3.4K]

Answer:

40

Step-by-step explanation:

30/75 = .4

4 0
3 years ago
Read 2 more answers
The price of a video game is $35.60. If you purchase the video game for $30.26 with a coupon, what percent of the original price
topjm [15]
(30.26/35.6)*100= 85%

check: .85 * 35.6 = 30.26
4 0
3 years ago
Qual o valor de 2 3 -1 3 ?
ra1l [238]
El valor de 23-13 es 10
7 0
3 years ago
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