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3 years ago

A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles.

Mathematics

1 answer:

Aleks [24]3 years ago

3 0

Your answer is 6 gallons of gas.

Since the car can travel 32 miles per gallon(mpg), you would need to do 192 divided by 32 to get your answer. To verify it you can do 6(answer) times 32. Your answer would be 192, meaning you're right.

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Lola dice Argos mi perro tiene 10 kg menos que roco cuantos kilogramos tiene argos

Elena L [17]

Answer:

$A=R-10$

Step-by-step explanation:

The problem is:

Lola says: Argos, my dog, has 10 kilograms less than Roco. How much kilograms Argos has?

This problem is about algebraic language. We just need to express the ordinaty language into an equation.

We know the words less means difference. So, let's call $A$ Argos' weight and $R$ Roco's weight. We can expresse the given problem as

$A=R-10$

Notice that we applied a difference due to the word "less" in the problem.

Therefore, Argo's weight is given by the expression

$A=R-10$

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2 years ago

What is the volume of the carton? V = Bh Area of a triangle = 1/2 x b x h

Angelina_Jolie [31]

Hi there!

$\large\boxed{\text{ 10.5 in}^3}}$

Begin by solving for the area of the base:

A = 1/2 (bh)

Thus:

A = 1/2(2 · 1.5) = 1.5 in²

Multiply by the depth to find the volume:

A = 1.5 × 7 = 10.5 in³

5 0

2 years ago

Read 2 more answers

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Answer:

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2 years ago

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An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

2 years ago

Find the equation of the line passing

Paraphin [41]

Rearrange the formula given to determine the slope, you will see that in y=mx+b form the slope is -2/3
You now have the slope (m) and two test points. Input those values into y=mx+b and you will have your answer!
I got y=(-2/3)x+(22/3) which I'm quite certain is correct.

8 0

3 years ago