For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Answer:

Step-by-step explanation:

The two lines intersect at one point.  At this one point, the two students will have drunken the same amount of liquid.

There is sufficient info here so that one could determine that time and that volume of liquid if desired.

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

To learn more on Graph click:

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Answer:what’s the question?

Step-by-step explanation:

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]

Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

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Answer:

63=90-63= 27

Bye

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

Answer:

b. would be the answer bc it goes in a line if you were to connect the dots

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

Step-by-step explanation:

Dilation

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Answer:

D.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-5, -3)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

904.78

Step-by-step explanation: