Ask question

Ask question

All categories

3 years ago

8

In a volcano, erupting lava flows continuously through a tube system about 13 kilometers to the sea. Assume a lava flow speed of

0.5 kilometer per hour and calculate how long it takes to reach the sea.

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

26 hours

Step-by-step explanation:

speed = distance/time

s = d/t

st = d

t = d/s

t = (13 km)/(0.5 km/h)

t = 26 h

Answer: 26 hours

You might be interested in

At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi

Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

$y = -\frac{1}{8}x^2+4x$ ...........................................(1)

$3y = 2x - 14$ ..............................................(2)

From (2),

$y = \frac{2}{3}x-\frac{14}{3}$ .................................................(3)

Substituting (3) in (1),

$\frac{2}{3}x-\frac{14}{3} = -\frac{1}{8}x^2+4x$

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

$(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) = (-24\times \frac{1}{8}x^2)+(24\times4x)$

$16x - 112 = -3x^2+96x$

$3x^2-80x -112 = 0$

$(x-28)(3x+4) = 0$

$x-28 = 0$ OR $3x+4=0$

$x=28$ OR $x = -\frac{4}{3}$

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

$y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14$

$y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}$

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

6 0

3 years ago

What is the perimeter and area of a rectangle with the length of 16 inches and a width of 11 inches?

AlexFokin [52]

P=(L•2)+(W•2)

L=16 in and W=11 in

P=(16•2)+(11•2)

P=54

A=L•W

L=16 in and W=11 in

A=16•11

A=176

6 0

3 years ago

32 (7 − 2) ⋅ 4 − 6 over 3.

kramer

Remove the over and replace with division sign;
32(7-2).4-6/3

Proceed to simplify;
32(5).4-2
160*4-2
640-2
=638

4 0

3 years ago

CAN SOMEONE HELP. i will give 150 points if some one can explain and solve you have to find the missing angle measures.

Tems11 [23]

Answer:

\angle ACB=40^{\circ}, \angle ABC=63^{\circ}

Step-by-step explanation:

Finding x:

We know that $\angle DAB=180^{\circ}$ , because it's a straight line. So, $\angle CAB=180^{\circ}-103^{\circ}=77^{\circ}$ .

We know that the sum of the angles of any triangle will be $180^{\circ}$ .

So, we have that $(3x-14)+(3x+9)+77=180$ .

Combining like terms on the left gives $6x+72=180$ .

Subtracting $72$ from both sides gives $6x=108$ .

Dividing both sides by $6$ gives $x=18$ .

Finding missing angle measures:

$\angle ACB=3x-14=3(18)-14=54-14=40$ .

$\angle ABC=3x+9=3(18)+9=54+9=63$ .

So, $\angle ACB=40^{\circ}$ and $\angle ABC=63^{\circ}$ and we're done!

Note: $\angle ACB+\angle ABC=\angle CAD$ . Coincidence? If not, try and prove it!

7 0

3 years ago

Maggie buys 5 apples and 4 oranges for $10 and Lynn buys 5 apples and 5 oranges for $11. What is the price for an apple and what

nlexa [21]

Make 2 eqn, let a be apples and o be oranges:

1. 5a + 4o = 10
2. 5a + 5o = 11

set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1

sub “o” into one of the eqn

5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2

therefore, an orange costs $1.00 and an apple costs $1.20

6 0

4 years ago