John can service a television and a cable box in one hour. It took him four hours yesterday to service two televisions and ten cable boxes. How many minutes does John need to service a cable box?

Answers

Answer 1
Answer: For this item, we let x be the number of minutes he can service a television and y be the minutes he can service a cable box. Then, the system of linear equation that would best represent the given above is,
                                x + y = 60 
                                2x + 10 y = (4)(60)
The values of x and y from the equations are 45 and 15 minutes, respectively. Therefore, John needs 15 minutes to service a cable box. 

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26 foot long painting is how many yards long

Answers

1 foot contains 0.3333... yards 
so
26 foot contains how many yards=?
26 feet contain yards= 26*0.3333333....
                                  =0.86666... yards
or simply 0.86667 yards. answer     

Check by divisibility test the number 26458900 is divisible by 11 and 4.

Answers

Answer:

steps below

Step-by-step explanation:

26458900 ... sum of odd digits 2+4+8+0=14   ...(1)

                      sum of even digits 6+5+9=20   ...(2)

(2)-(1): 20-14=6      Not multiple of 11, nor 0

conclusion: Not divisible by 11

26458900 ... last 2 digits is "00", 00 or #00 are divisible by 4

conclusion: divisible by 4

Two numbers have a difference of 0.7 and a sum of 1. what are the numbers?

Answers

In order to determine the value of the numbers, we can set up algebraic equations to solve. For this case, we need to set up two equations since we have two unknown numbers. We do as follows:
 let x = first number and y = second number
 From the problem statement, we set up equations.
 Equation 1 - the numbers have a difference of 0.7
 x - y = 0.7
 Equation 2 - the numbers have a sum of 1
 x + y = 1
 Solving for x and y via substitution method,
 x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
 x - 0.15 = 0.7
x = 0.85 or 17/20
 Thus, the two numbers are 0.15 and 0.85.

Find the quotient 8 over 0

Answers

un-defined.........................
8 ÷ 0 = can not be divided. No number can be divided by 0.

Hope I helped ya!!xD 

How do you find the length of arc and area of sector

Answers

To do this I must first determine what fraction of the circle is represented by the central angle 30°. Since there are 360° in a full circle, I can find the fraction of a circle by simplifying . The sector represents of the circle. To find the arc length, I now need to find the circumference of the entire circle.

Solve for x to four significant digits

7^x=13

Answers

1.318

Explanation:
Really what you're looking for is a value of x that, when 7 is raised to that power, will give you 13. 
putting the equation in terms of f and g (any variables will do) :
7^x = f(x)
13= g(x)

using the rule if f(x)=g(x) then ln f(x) = ln g(x)
If any function f of x equals g of x then the natural log of f of x equals the natural log of g of x. 

Therefore:
ln (7^x) = ln (13)

With logs, if there is something raised a power, the exponent can simply be moved to the front, so:
ln (7^x) = x * ln 7
note: *=multiplication

therefore your new equation is
x*ln 7 = ln 13
if you divide both sides by ln 7, you get that
x =  (ln 13)/(ln 7)
x = 1.318123223
but you only need four sig figs (significant figures) so your answer is
x = 1.318

*Note =  the answer is 1.318 only because those are the first four digits of the answer. I suggest looking up rules for sig figs if you do not know what they already are 

HOPE THAT HELPS
_V :)