1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nataly862011 [7]
2 years ago
15

A tank had 6 liters of water. The tank had a small hole in its base through which water leaked out at a constant rate. The tank

was empty after 4 minutes. If y represents the number of liters of water in the tank and x represents the time in minutes, which graph best represents this situation?

Mathematics
2 answers:
Mariana [72]2 years ago
8 0

Based on the given problem above, if we analyze it, we are going to look for the graph which with coordinates (0,6) which represents starting out with 6 gallons, and ending at (4,0). So, the graph that best represents this situation would be the first graph on the top left. Hope this answers your question. Have a great day!

Anastaziya [24]2 years ago
8 0

Answer:

The graph is attached.

Step-by-step explanation:

We will write an equation in slope-intercept form to represent this situation.  Slope-intercept form is

y = mx+b, where m is the slope and b is the y-intercept.

We know that the y-intercept, the initial value, is 6.  This gives us

y = mx+6.

We do not know the rate of change, or slope, of this situation.  We do, however, know that after 4 minutes there is 0 water left in the tank.  Substituting 0 in for y and 4 in for x, we have

0 = m(4)+6

0 = 4m + 6

Subtract 6 from each side:

0-6 = 4m+6-6

-6 = 4m

Divide both sides by 4:

-6/4 = 4m/4

-1.5 = m

This gives us

y = -1.5x + 6.  This can also be written as

y = -3/2x + 6.

To graph this, we begin with the y-intercept, 6.  We go up to 6 on the y-axis and plot a point.

The slope tells us where to find the next point.  Slope is rise/run; our slope is -3/2, so from our y-intercept, we go down 3 and right 2 to make our next point.  Then we draw a line between the points.

You might be interested in
Sketch the graph of y=-3/4x - 5. Solve it
ivann1987 [24]
Domain:
( -  \infty . +  \infty )
Range:

( -  \infty . +  \infty )
Graph:

(attached above)

8 0
3 years ago
PLEASE HELP ASAP I can’t fail this
MArishka [77]

Answer:

-5,5

5,5

Step-by-step explanation:

8 0
2 years ago
A bowl has 3 red beads and 7 blue beads. Two beads are selected at random one at a time. First a red bead is drawn and placed on
IceJOKER [234]

The probability that first a red bead is drawn and next a blue bead is drawn is 7/30,and both events are dependent

<h3>How to determine the probability?</h3>

The distribution of the beads are:

Red = 3

Blue = 7

Total = 10

The probability of selecting the red bead first is:

P(Red) = 3/10

When the red bead is selected, the number of beads becomes 9

So, the probability of selecting a blue bead is

P(Blue) = 7/9

The probability of the event is then calculated using:

P = 3/10 * 7/9

Evaluate

P = 7/30

Hence, the probability of the event is 7/30

Read more about probability at:

brainly.com/question/25638875

#SPJ1

7 0
2 years ago
the volume of the prism is 1122 cubic inches. use the formula V = BH to find the h of the prism. B= 93.5in.
Crank
V = Bh  ⇒  
h = V/B = 1122 / 93.5 = 12 inches.
3 0
3 years ago
Measure the diagonal of a square whose area is exactly one square foot. Is the diagonal length closer to 1.5 or 1.4 feet? Explai
kondor19780726 [428]

It is closer to 1.4

Step-by-step explanation:

This is a 45 45 90 triangle

To find the hypotenuse of this triangle it is any side length times the square root of two.

Formula: Square Root = sqrt

Hypotenuse = SideLength*sqrt(2) ; 1*sqrt(2) = 1.412...

Rounded to the nearest tenths it is closer to 1.4 than 1.5


8 0
3 years ago
Other questions:
  • Pricing Math Quiz
    10·1 answer
  • (EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point a
    11·1 answer
  • A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper?
    15·1 answer
  • a recent census listed the population of a city as 831,982. marisol rounds the population to 830,000, and lindy rounds the popul
    14·1 answer
  • The volume of a sphere is 972π ft3. What is the radius of the sphere? Use the formula V = 4 3 πr3 to find your answer.
    15·2 answers
  • The figure is to be rotated 1/4 (90 degrees) turn about point P.
    5·1 answer
  • The length of the base of an isosceles triangle is x. The length of a leg is 5x-6. The perimeter of the triangle is 98.find x
    8·1 answer
  • Need help please quick
    10·2 answers
  • Pleas I really need help with this all I need is the answer
    6·1 answer
  • What is the area of a circle when the radius is 5ft
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!