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lara [203]
2 years ago
14

tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained

at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.
Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

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Evaluate 21 - n for n = 3 *<br><br> please help me with this
qwelly [4]

Answer:

18

Step-by-step explanation:

21-n; n=3

Substitute n for 3:

  • 21-3

Solve.

  • 18
4 0
3 years ago
Read 2 more answers
(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.​
frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)

m=\frac{2-\left(-1\right)}{10-6}

Refine

m=\frac{3}{4}

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0
3 years ago
Frank's painting is on a large triangular canvas with side lengths 4 meters,
Mazyrski [523]

Answer:

3213 cm

Step-by-step explanation:

First draw the frame around the triangle. The circular edges added together give you 360 degrees. Use pi*r^2 to get 4pi which is around 12.56. 100cm=m. 2*500+2*400*2*700=3200.

3200+ 13 = 3213

3 0
3 years ago
Read 2 more answers
Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

tan(x) = 0 OR 1-2sin(x) = 0

Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

7 0
2 years ago
CAN YOU HELP ME PLEASE I NEED THIS RIGHT NOW I DONT UNDERSTAND
Neporo4naja [7]

Answer:

divide the smaller number by the larger number

Step-by-step explanation:

54.8% or 55%

4 0
3 years ago
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