Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 12 gallons of water. Five minutes later, the tank contains 10 gallons of water.

Type your answers in the blanks below.

At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.


How many more minutes will it take for the tank to drain completely?

________minutes

How many minutes before Jada arrived was the water take completely full?

_________ minutes

Answer:

-2

Step-by-step explanation:

If Issac has finished 8/10 problems in the homework, and Phil has completed all of it, it can be concluded that Phil completed 10/10. 10/10 would equal a whole, or in this case, the entire homework. If Issac completed 8 problems, and Phil completed 10, subtract both values to find that Issac completed -2 more problems than Phil.

*correct me if I'm wrong, or If I didn't fully understand your question, because I am a little confused with how much homework Phil has finished.

Answer:

Step-by-step explanation:

Refer to attached picture.

All given dimensions are given on the picture (not to scale).

Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:

It has 9 faces and the total surface area is:

Answer: you have to divide each side by 8, not 4. If you divide by 4, you get 2x = 1

The correct answer would be 1/2

Answer:

820

Step-by-step explanation:

795 + 25 = 820$

Answer:

The answers are A, B and C.

Step-by-step explanation:

To solve the inequality you first have to use Distributive Property. You should get -3k + (-21) > -57

Next Divide 21 on both sides. -57/21 is -36

You should have -3k > -57

Divide -3 on both sides. -57/-3 is 12

You should end up with k > 12

And you never used -5, 0 or 8 in the equation and the question asks to choose the following that isn't included in the solution so your answers are A, B and C.

Hope This Helps! ^^

Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=36

x=6

Answer:

x=6

Step-by-step explanation:

So, lets go over what we know.

Angle 5x and angle x+54 make up 90 degrees.

We know its 90 degrees since there is a square like symbol on the side of the line.

To sovle for x, we must add the two angles together. This will make them equivelent to 90 degrees.

So:

5x+x+54=90

=

6x+54

Now that we combined our two angles, we can solve it like a normal equation:

6x+54=90

subtract 54 from both sides to get 6x alone:

6x=36

Now divide both sides by 6 so x is alone:

x=6

So now we know that x=6.

If you wan to check your answer, just look at the orginal graph, plug in 8 for x, and see if the two angles add up to 90:

Angle 5x:

5*6

=

30

Angle x+54

6+54

=

60

Add the two angles together:

30+60

=

90

So we have checked and the answer is still correct!

Hope this helps! :D

Answer:

30

Step-by-step explanation:

Answer:

The 3rd one is correct

(7.5 + 3) x 6 - 4)

Answer:

10/6 is the answer

cosine=hypotenuse/opposite

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Possible outcomes from rolling the cube that satisfy the "greater than 3" criterion are {4, 5, 6}  out of a total of six possibilities {1, 2, 3, 4, 5, 6}.  Thus, the probability of rolling a number greater than 3 is 3/6, or 1/2.

Probability of flipping heads is 1/2.

These are entirely independent events.  Thus, the joint probability is (1/2)(1/2), or 1/4.

Answer:

22in²

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Circumference = 25 (1/7)

As we know,

Circumference of a circle = 2πr

By solving this we get

Radius (r) = 4in

Now. we can calculate the area by using following formula,

Area  = πr²

By putting the value, we get

Area = (22/7) × 4²

=  22/7 × 16

= 352÷16

Area = 22in²

Answer:

first

Step-by-step explanation:

(3;0)

y(3) = 2/3 * 3 - 2 = 0

(0;-2)

y(0) = 2/3 * 0 - 2 = -2

Answer:(0, -3)

Step-by-step explanation:

Answer:

the answer is: B thank me later!

Answer:

a.option is the correct answer right

Answer:16

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

We use the formula y2-y1/x2-x1. The two points that I would use are (3,-1) and (-3,-3). This means that the equation will be -3--1/-3-3. This is equal to -2/-6. This is also equal to 1/3. Therefore, the slope is 1/3.

If this helps please mark as brainleist

Answer:

f(4) = 2

Step-by-step explanation:

x = 3(4) - 10

x = 12 - 10

x = 2

PR = 5 units.

Given:

Right triangle

Hypotenuse = P(–3, 2), Q(1, –3)

R = located in the third quadrant.

To calculate the length of PR,

(i) First make a sketch of the points P and Q. The diagram is attached to this response.

(ii) As shown in the diagram, the point R is located in the third quadrant and its distance from P is from point -3 to 2 on the y-axis.

There are 5 points between -3 and 2. Therefore, the length PR = 5 units

Answer:

d

Step-by-step explanation:

not a bc it has to be negative

not c bc its has to be negative

not b bc the slope is -1/2

IT'S D

Answer:

D

Step-by-step explanation:

from the picture, we know that the slope is negative to begin, since the line is going on a downward direction from left to right. this eliminated A and C instantly.

Now we also can see the graph crossed at 3 for the y intercept, which is another reason to eliminate A and C.

we must then find the show of the line.

let us use to point (0,3) since this is the y intercept and (6,0) since this is the x intercept. to find the slope, m, at must use the equation

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

so, let's label (0,3) as point 1 and (6,0) as point two. then,

x1 = 0

y1= 3

and

x2= 6

y2=0

Now we just plug in and simplify.

[tex] m = \frac{0 - 3}{6 - 0} = \frac{ - 3}{6} = - \frac{1}{2} [/tex]

we now have our slope and y intercept, so we can plug them into our equation

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

our equation is thus

[tex]y = - \frac{1}{2} x + 3[/tex]

so, the answer is D

Answer: About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40  

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

Answer:

192 ft²

Step-by-step explanation:

Area of rectangular backyard = 1248 ft²

Width of backyard = 52 ft

Length = x

Area of rectangular backyard = Length * width

1248 = x * 52

x = 1248 / 52

x = 24 feets

Hence, x = height of triangular garden

Area of triangle = 1/2 base * height

Area = 1/2 * 16 * 24

Area = 192 ft²

Answer: C(x) = 13x +95​

Step-by-step explanation:

Here's the remainder of the question:

If C(x) represents the total cost and x represents the number of people attending the banquet, which equation shows the total cost? A C(x)=95x – 13 B C(x)=13x – 95 C C(x)=95x +13 D C(x)=13x +95​

Based on the information given in the question, the total cost will be:

= 95 + 13(x)

= 95 + 13x

Therefore, the correct answer will be C(x)=13x +95​

Answer:

5a^6,-3x^3-1

Step-by-step explanation:

we subtract the base and add the exponent

Given:

Two weeks ago, the cost of tickets = $30

Now, the cost of tickets = $39

To find:

The percent increase.

Solution:

We have,

Initial value = $30

New value = $39

Formula for percentage increase is:

[tex]\%\text{increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Using this formula, we get

[tex]\%\text{increase}=\dfrac{39-30}{30}\times 100[/tex]

[tex]\%\text{increase}=\dfrac{9}{3}\times 10[/tex]

[tex]\%\text{increase}=3\times 10[/tex]

[tex]\%\text{increase}=30[/tex]

Therefore, the percent increase in the cost of tickets is 30%.

Answer:

No

Step-by-step explanation:

I would not agree with Jayna because using the distributive property, you can get:

4(a + 2) = 4(a) + 4(2) = 4a + 8

Jayna did not get the right answer because she did not distribute the 4 to the 2 in a + 2 and she only multiplied a by 4.

Answer:

29, 7

Step-by-step explanation:

Range is largest num - smallest num

33-26 = 7

Mode is most common number:

29

Answer:

$37500

Step-by-step explanation:

Given data

Width of side walk= 5ft

Lenght= 250ft

Cost per square foot= $30

Hence the area of the side walk= 5*250

                                                     = 1250ft^2

Hence the cost = 30*1250

                            =$37500