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3 years ago

10

With a full 12-gallon tank of fuel, Dillon’s car can travel about 420 miles. At that rate, about how far can Dillon’s car travel

on 5 gallons of fuel?

1 answer:

Xelga [282]3 years ago

3 0

175 miles~~~~~~~~~~~~

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Can someone help me with this two problems?

ANEK [815]

2x+4y=0

substitute y with 0

2x+4(0)=0

solve the equation

2x+0=0

2x=0

divide by 2 on both sides

x=0

4x+8y=7

substitute y with 0

4x+8(0)=7

solve the equation

4x+0=7

4x=7

divide by 4 on both sides

x=7/4 or x=1 3/4 or x=1.75

3x-7y=-29

2x+2y=6

solve the bottom equation

3x-7y=-29

x=3-y

substitute for x

3(3-y)-7y=-29

solve the equation

y=19/5

now substitute for y

x=3- $\frac{19}{5}$

solve for x

x=-4/5

the possible solution of the system is the ordered pair

(x,y)=( $-\frac{4}{5} ,\frac{19}{5}$ )

3 0

3 years ago

Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w

ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent listening to tapes of Beethoven and Brahms =

$=\dfrac{3}{4}$

Amount of time spent listening to Beethoven =

$=\dfrac{1}{5}$

Total time spent listening to Brahms =

Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven

$=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}$

Thus, Monica spent $\frac{11}{20}\text{ hours}$ listening to Brahms.

7 0

3 years ago

Read 2 more answers

What is the area of this figure?<br>Enter your answer in the box.<br>8m<br>5 m<br>9m

Iteru [2.4K]

Answer:

314 feet

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

2 years ago

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the

jolli1 [7]

If you've started pre-calculus, then you know that the derivative of h(t)
is zero where h(t) is maximum.

The derivative is      h'(t) = -32 t + 96 .

At the maximum ... h'(t) = 0

   32 t = 96 sec

   t =  3 sec .
___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of h(t), then solve the quadratic equation
and find out what 't' must be at that height.

   150 ft = -16 t² + 96 t + 6

Subtract 150ft from each side: -16t² + 96t - 144 = 0 .

Before you attack that, you can divide each side by -16,
making it a lot easier to handle:

     t² - 6t + 9 = 0

I'm sure you can run with that equation now and solve it.
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.
(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0

3 years ago