Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function 2 Justify your response

Answer:

1 Pencil = 15p

5 Pencils = 75p

11 Pencils = 165p --> £1.65

Step-by-step explanation:

To find one pencil... 90 / 6 = 15

To find 5 pencils... 15 (worth 1 pencil) * 5 = 75

To find 11 pencils... 15 (worth 1 pencil) * 11 = 165 which is £1.65

Answer: six per month

Answer:

6

Step By Step Solution:

[tex]5 + 8 + 4 + 7 = x\\ 13 + 4 + 7 = x \\ 17 + 7 = 24 \\ x = 24 \\ 24 \div 4 = 6[/tex]

Answer:

b=9 and b=-21

Step-by-step explanation:

first step: move 195 to the other side by adding to get:

b^2+12b=189

now to find the constant you take the b value which is 12 divide that by 2 and square it. then add the product to both sides. 12/2=6, 6^2=36

b^2+12b+36=189+36

next factor b^2+12b+36.

(b+6)^2=225

square root both sides to get:

b+6=15 and b+6=-15

solve by subracting 6 to both sides and you get the 2 final answers.

b=9 and b=-21

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Answer:

$67400

Step-by-step explanation:

Given that :

Net income = 53246

Deduction (tax purposes) % = 21%

Gross income = net income + deduction

Let gross income = x

x = 53246 + 21% of x

x = 53246 + 0.21x

x - 0.21x = 53246

0.79x = 53246

x = 53246 / 0.79

x = 67400

Answer:

D

Step-by-step explanation:

this isnt highschool, u are dum

Answer:

9 inches deep

Step-by-step explanation:

12 inches - 3 inches = 9 inches

Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

Answer:

8y+6y=288

Step-by-step explanation:

8y+6y= 12y

12y=288

12y divide by 12 = 288 divided by 12 =

y=24

Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

Answer:

n= 5x each time

Step-by-step explanation:

=

Answer:

180- 117 = 63

Step-by-step explanation:

Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Answer:

8.3y + 10

Step-by-step explanation:

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

Answer:second 1

Step-by-step explanation:

Answer:

The blue line models the data points better than the red line. It is because the data points are all close to the line.

Answer:

5280

Step-by-step explanation:

Answer:

There are 5,280 feet in a mile.

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

The circumference is thus;

C = 50 * 3.142

C = 157.1 m

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Answer:

x= 21/15

if you need to reduce it would be x=7/5

Step-by-step explanation:

12x-15 =6-3x

add 3x to both sides

15x- 15 = 6

now add 15 to both sides

15x = 21

lastly divide both sides by 15

x= 21/15

if you need to reduce it would be x=7/5

Answer:

x = 7/5 or 1.4

Step-by-step explanation:

12x - 15 = 6 - 3x             Need to move one variable term to the other side to

+3x              + 3x         isolate it on one side

---------------------------

15x - 15 = 6                   need to +15 to isolate the variable term

     +15   +15

-----------------------

15/15x = 21/15 (simplify 21/15 = 7/5)   need to divide by 15 to isolate x

------------------------

x = 7/5 or 1.4

Answer:

7(x+6)

Step-by-step explanation:

hope it helps :)

I did a proportion and I think the answer is 13.6 or 14 after being rounded

Answer:

40

Step-by-step explanation:

6 * 10 = 60 papers done and complete

100- 60 = 40

Answer:

40 papers will be remaining

Step-by-step explanation:

= As,It take 1 hour to grade 6 papers

= 1 -6

= 10-?

= by cross multiplying we get 60 papers

= 100 - 60

= 40 papers

Thank you

Answer:

A. 190 inches

Step-by-step explanation:

Plug in the numbers to the surface area formula  to get 190, i messed up last time