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2 years ago

13

Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. A

t this rate, how long will it take to fill his 50 liter gas tank?

1 answer:

KatRina [158]2 years ago

4 0

Answer:

4 1/6 min or 4 min 10 sec

Step-by-step explanation:

<u>Filling rate is:</u>

15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min

<u>Total volume is 50 l, time required to fill is:</u>

50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec

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8. A cent is 0.01 of a dollar

Oksanka [162]

Answer:

Yes

Step-by-step explanation:

A dollar = 100 cents

1 cent : 100 cents

= 1/100

= 0.01

8 0

2 years ago

Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

2 years ago

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

2 years ago

What is the length of chord An in Oo below?

Anika [276]

Answer:

12 units

Step-by-step explanation:

$In\: \odot O,$

chords $\overline{ML}$ and $\overline{AN}$ are equidistant (7.2 units) from the center of the circle O.
Measures of the chords equidistant from the center of the circle are equal.
$\therefore m(chord\:\overline{AN}) =m(chord\:\overline{ML})$
$\because m(chord\:\overline{ML}) = 12\: units$
$\therefore m(chord\:\overline{AN}) = 12\: units$

4 0

2 years ago

Is it a b c d need help

timurjin [86]

Answer:

A

Step-by-step explanation:

The only one going up

8 0

2 years ago