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3 years ago

Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.

Mathematics

2 answers:

dybincka [34]3 years ago

3 0

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Svet_ta [14]3 years ago

3 0

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

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The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall.

Mekhanik [1.2K]

<h3>4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls</h3>

Solution:

Given that,

The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall

The formula for joint variation is:

$z = k \times x \times y$

Where,

z is the amount of paint needed

x is the perimter of room

y is the height of room

Room with a perimeter of 35 feet and 10 foot high walls requires 3.5 quarts of paint

Therefore,

$3.5 = k \times 35 \times 10\\\\ k = \frac{3.5}{350}\\\\k = 0.01$

find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

Substitute k = 0.01, x = 55 and y = 8 in joint variation formula

$z = 0.01 \times 55 \times 8\\\\z = 4.4$

Thus, 4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

7 0

3 years ago

One focus of a hyperbola is located at (−6, 2). One vertex of the hyperbola is located at (−4, 2). The center is (−1, 2).

Valentin [98]

Answer:

(x+1)^2/9 - (y-2)^2/16 = 1

Step-by-step explanation:

As the center and the vertex of the hyperbola forms a horizontal segment (they have the same y value), we can use the hyperbola equation with horizontal axis:

(x-h)^2/a^2 - (y-k)^2/b^2 = 1

For this equation, the center of the hyperbola is (h,k), the vertix is (h±a, k) and the focus is (h±c, k), where c^2 = a^2 + b^2

So if the center is (-1,2), we have h = -1 and k = 2

If the vertex is (-4,2), we have that h-a = -4, so a = 3

If the focus is (-6,2), we have that h-c = -6, so c = 5

Now, finding b, we have:

5^2 = 3^2 + b^2

b = 4

So our equation is:

(x+1)^2/9 - (y-2)^2/16 = 1

8 0

4 years ago

Read 2 more answers

I need to show work..

nika2105 [10]

Answer:

$13x - 4 = 8x + 11 \\ 13x - 8x = 4 + 11 \\ 5x = 15 \\ \frac{5x}{5} = \frac{15}{5} \\ x = 3$

NOW LET'S FIND THE VALUE OF AD

$ad \: \: length = 13x - 4 \\ \\ x = 3 \\ \\ 13x - 4 \\ 13 \times 3 - 4 \\ 39 - 4 \\ = 35$

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4 years ago

Which of the following effects of e-commerce would be most beneficial to a retailer?

Marat540 [252]

Step-by-step explanation:

the retailer could reach a worldwide customer base

explanation: the power of the internet could help the business to reach customers all over the world

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4 years ago

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The ratio of two numbers is 3/7 . The sum of double the lowest number and triple the highest number is 2700. Find out the number

Tatiana [17]

Say x is the smaller of the two:
x/3=y/7
2x+3y=2700
solve and you get that
y=700, x=300

5 0

4 years ago