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ollegr [7]
3 years ago
12

A1 Plumbing Services charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per

hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
The service call must be________hours long.
Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

5 hours your welcome.

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At time t= 0, Elevator A is 40 feet above the ground floor.
Zepler [3.9K]

There is no graph for Elevator B. I'm sorry if I'm mistaken.

7 0
3 years ago
I need help with this word problem it’s urgent please help.
harkovskaia [24]

Starting with some solution of volume <em>v</em> and an alcohol concentration of 100<em>c </em>% , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + <em>v</em>.

Each mL of the starting solution contains <em>c</em> mL of alcohol. For example, if the concentration of the starting solution is 80% (so <em>c</em> = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

<em>cv</em> + 0.45 (180 mL) = 0.7 (180 mL + <em>v</em>)

and you want to solve for <em>v</em> :

<em>cv</em> + 81 mL = 126 mL + 0.7<em>v</em>

<em>cv</em> - 0.7<em>v</em> = 126 mL - 81 mL

(<em>c</em> - 0.7) <em>v</em> = 45 mL

<em>v</em> = (45 mL) / (<em>c</em> - 0.7)

Judging by context clues, <em>c</em> lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, <em>c</em> = 0.8, so that your starting solution is at 80% concentration, then you would need

<em>v</em> = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that <em>c</em> = 1, you would need

<em>v</em> = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

3 0
3 years ago
WILL GIVE A BRAINLIEST!! PLEASE HELP!!
tia_tia [17]
<span>3^5 * 6^-6 / 3^3 * 6^-4
= 3^2 6^-2
= 3^2 / 6^2
= 9/36
=1/4

answer
</span><span>C.
1/4</span>
5 0
2 years ago
{4x-2y+5z=6 <br> {3x+3y+8z=4 <br> {x-5y-3z=5
lesya692 [45]

There are three possible outcomes that you may encounter when working with these system of equations:


  •    one solution
  •    no solution
  •    infinite solutions

We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:

  1. 4x-2y+5z = 6
  2. 3x+3y+8z = 4
  3. x-5y-3z = 5

We are going to use elimination(or addition) method

Step 1: Choose to eliminate any one of the variables from any pair of equations.

In this case it looks like if we multiply the third equation by 4 and  subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.

So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:

4. 4x-20y-12z = 20      

Subtracting eq. 4 from Eq. 1:

(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z

(R.H.S) : 20 - 6 = 14

5. 18y+17z=14

Step 2:  Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.

Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:

(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z

(R.H.S) : 4 - 15 = -11

6. 18y+17z = -11

Step 3:  Solve the remaining system of equations 6 and 5 found in step 2 and 1.

Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:

(L.HS) : 18y+17z-(18y+17z) = 0

(R.HS) : 14-(-11) = 25

0 = 25

which is false, hence no solution exists



3 0
2 years ago
Can u help me with this
Nesterboy [21]
A graphing calculator is a great help for problems of this nature.
  x ∈ {-5.63, -0.55, 2.59}

4 0
3 years ago
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