**********URGENT***********
The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians?

A. 1 hour 43 minutes
B. 5 hours 15 minutes
C. 7 hours 30 minutes
D. 9 hours and 20 minutes

9514 1404 393

Explanation:

Both sides of the equation are squared.

  [tex]\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}[/tex]

I like this better without fractions, so would multiply by 16 at this point (or earlier).

  x^2 -40x +144 = 0

  (x -36)(x -4) = 0

  x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

Answer:

496

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

124 * 25%

31

124-31

93

Answer:

lets figure out how many in total

10 + 23 + 57 = 90

10/90

11%

Step-by-step explanation:

The solution to the equation y = 5x - 5 is given by the ordered pairs

( 0 , -5 ) , ( 1 , 0 ) , ( 2 , 5 ) , ( 3 , 10 ) , ( 4 , 15 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = 5x - 5   be equation (1)

On simplifying the equation , we get

Substitute the value of x = 0 in the equation , we get

y = 5 ( 0 ) - 5

y = 0 - 5

y = -5

So , the ordered pair is ( 0 , -5 )

Substitute the value of x = 1 in the equation , we get

y = 5 ( 1 ) - 5

y = 5 - 5

y = 0

So , the ordered pair is ( 1 , 0 )

Substitute the value of x = 2 in the equation , we get

y = 5 ( 2) - 5

y = 10 - 5

y = 5

So , the ordered pair is ( 2 , 5 )

Substitute the value of x = 3 in the equation , we get

y = 5 ( 3 ) - 5

y = 15 - 5

y = 10

So , the ordered pair is ( 3 , 10 )

Substitute the value of x = 4 in the equation , we get

y = 5 ( 4 ) - 5

y = 20 - 5

y = 15

So , the ordered pair is ( 4 , 15 )

Hence , the equations are solved

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Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the linear function  

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

where

The graph of y = mx + b is a straight line. Thus, y = mx + b represents a linear function.

Analzing the function y = –x + 5

Given the linear function

y = –x + 5

comparing with the slope-intercept form of linear equation

The slope m = -1

The y-intercept b = 5

Also, the graph of a linear function is a straight line.

Thus,

The function  y = –x + 5 represents  a linear function.

Analzing the Table Function

x        0     1     2     3

y        0     1     8     27

In order to identify whether the given table represents the linear function or not, we need to make sure the given function has a constant change x and y.

If there is a constant change in x and y, then it would be a linear Function otherwise it would not represent a linear function.

There is a constant change in x values.

i.e.

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

But, there is NOT a constant change in y.

i.e.

1 - 0 = 0

8 - 1 = 7

27 - 8 = 19

It is clear that the table does not have a constant change in y-values.

Therefore, the table function does not represent the linear function

Step-by-step explanation:

let jon age be x

dad age is 2 of x i.e 2x

grandpa age is 7 + 3(x)

The sum of jon dad and grandpa age is 145 i.e

x + 2x + (7+3x) = 145

3x +. 7 + 3x = 145

6x = 145- 7

6x = 138

divide both sides by 6

x = 23

jon age is 23

while

grandpa age is

7 + 3(x)

7 + 3(23)

7 + 69

76.

Answer:

x=-7

Step-by-step explanation:

Alrighty. 5x+8=2x-13. Lets do -2x on both sides. We'll get 3x+8=-13. Then lets subtract 8 from both sides. We'll get 3x=-21. Divide by 3 and we'll get x=-7. Hope that makes sense.

Answer:

i think the answer is 7

Step-by-step explanation:

Given:

18% increase followed by a 13% decrease.

To find:

The single percentage equivalent to a 18% increase followed by a 13% decrease.

Solution:

Let a number be 100.

If it is increased by 18% then the number becomes

[tex]Number=100+\dfrac{18}{100}\times 100[/tex]

            [tex]=100+18[/tex]

            [tex]=118[/tex]

Then, it is decreased by 13%.

[tex]Number=118-\dfrac{13}{100}\times 118[/tex]

             [tex]=118-15.34[/tex]

             [tex]=102.66[/tex]

New number is 102.66.

Now, the percentage change is

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

[tex]\%\text{ Change}=\dfrac{102.66-100}{100}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{2.66}{100}\times 100[/tex]

[tex]\%\text{ Change}=2.66\%[/tex]

Therefore, the Single percentage change is 2.66%.

Step-by-step explanation: its a+b which equals 182

Answer:

40%

Step-by-step explanation:

Each box is worth 20%

You know this because the entierty of the box is 100% and it is divided into 5 groups 100 divided by 5 is 20, thus each box is worth 20%.

$180

Step-by-step explanation:

30 x 6 = 180

Answer:

180 it is basic multiplication

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Just put the functions over each other and subsitute the values from the functions. The answer should be D if you just sub in the value for f(n) and g(n) respectively.

Answer:

Step-by-step explanation:

1.) 5

2.) 32

3.) 14

4.) 16

It's the associative property. One way to remember the associative property is that the numbers don't change, but the location of the numbers change.

Answer:

X=y

x/y+2=3 because

Y+Y+Y=3 so

X=Y+Y+Y=3

Answer:

No se

Step-by-step explanation:

pero okueuekdnfjdbebf

Answer:

24y - 32

Step-by-step explanation:

You take the 8 and multiply each term by in the parentheses by 8, so

8(3y - 4) becomes 8 * 3y - 8 * 4 = 24y - 32

Answer:

well, you can multiply them, to simplify the equation, but to expand, try adding or multiplying 2 multiples of 8, in the middle the 4 can change by adding 2+2 or 3+1. For 3y, you can do 3*y.

Step-by-step explanation:

Answer:37

Step-by-step explanation:

10+(9*5)+4-22

1st one on top is 100 and 3rd one on top is 6.

Answer:

y=2x2−8x

y=2x2−8x

Step-by-step explanation:

Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Answer:44.44%

Step-by-step explanation:Take the absolute value of the difference fof the two and then divide by the first number:

Answer:75x+160

8 is the answer exactly 8

Step-by-step explanation:

Answer:

Set variable d for number of days: 75d + 160 < 760; 75d < 600; d < 8. The van has to be rented for less than 8 days for the family to spend less than $760.