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Alex_Xolod [135]

3 years ago

8

The gas tank of Dave’s car has a capacity of 12 gallons. The tank was 38 full before Dave filled it to capacity. It cost him $2.

50 per gallon of gas. How much did Dave spend, in dollars, to fill the tank to capacity?

2 answers:

oee [108]3 years ago

7 0

Answer:

$ 30

Explanation:

Capacity of tank = 12 gallon

Cost of one gallon = $ 2.50

The cost of 12 gallon = 12 x 2.50 = $ 30

Thus, the cost of 12 gallon fuel is $ 30.

m_a_m_a [10]3 years ago

5 0

Answer:

$ 18.75

Explanation:

given,

capacity of the Dave’s car = 12 gallons

Assuming that the tank is 3/8 full before

Cost of gas per gallon = $2.50 per gallon of gas

Volume Dave have to fill

= $1 - \dfrac{3}{8}$

= $\dfrac{5}{8}$ of full tank

= $\dfrac{5}{8}\times 12$

volume Dave have to fill = 7.5 gallons

total money Dave spent

= 7.5 gallons x $2.50

= $ 18.75

Dave have to spend $ 18.75 to fill tank to it capacity.

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Use the equation below to solve for the velocity at 0.30 seconds

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2 years ago

a 0.199 kg snowball moving west makes an inelastic collision with a 2.89 kg box moving 0.523 m/s west. afterward,they move west

kogti [31]

Answer:

The initial velocity of the snowball was 22.21 m/s

Explanation:

Since the collision is inelastic, only momentum is conserved. And since the snowball and the box move together after the collision, they have the same final velocity.

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$m_1v_1+m_2v_2=v_f(m_1+m_2)$ .

From this we solve for $v_1$ , the initial velocity of the snowball:

$\boxed{v_1=\frac{v_f(m_1+m_2)-m_2v_2}{m_1}}$

now we plug in the numerical values $m_1=0.199\:kg$ , $m_2=2.89\:kg$ , $v_2=0.523\:m/s$ , and $v_f=1.92\:m/s$ to get:

$v_1=\frac{1.92*(0.199+2.89)-2.89*0.523}{0.199}$

$\boxed{v_1=22.21\:m/s}$

The initial velocity of the snowball is 22.21 m/s.

<em>P.S: we did not take vectors into account because everything is moving in one direction—towards the west.</em>

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2 years ago