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Neko [114]
3 years ago
6

Solve. Show all your work and explain your steps.

Mathematics
1 answer:
vitfil [10]3 years ago
7 0
The problem does not clearly give us the distance from Buffalo to Chicago, so let this be x (in mile) just so I can show you how the total cost is solved. 
The total cost is equal to the sum of the rental fee plus the cost of the additional fee per mile which is equal to 1.50x, and also of the cost of the gasoline which is equal to (x/16)(2.15). Thus, the final answer should be expressed as,
               total cost = 29.95 + 1.5x + 2.15x/16
When the distance is available, this should be easily substituted in the equation above. 
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Find the sale price of each item. Round to two decimal places when necessary.
svetlana [45]
The actual price is $59.63 BUT when you round it is $60.00
8 0
3 years ago
How to solve this system of equal: x+y+z=1;x^2+y^2+z^2=1
swat32

There are infinitely many solutions.

Algebraically, we can eliminate z and try to solve for x,y:

x+y+z=1\implies z=1-x-y

Then

x^2+y^2+(1-x-y)^2=1

\implies x^2+y^2+1-2x+x^2-2y+y^2+2xy=1

\implies x^2-x+y^2-y+xy=0

which is the equation of an ellipse.

5 0
4 years ago
A company charges $211.25 for 5 trees and 15 shrubs. The company charges $15.25 more for a tree than a shrub. How much does each
dusya [7]
(a+15.25)=x cost of each tree
(a•15)=110 cost of all the shrub
(x•5)= 101.25 cost of all trees
110+101.25= 211.25

equatiin all together
[(a+15.25)×5]+(a×15)=211.25

7 0
3 years ago
I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

6 0
2 years ago
Is the value of 8 in 345,802 ten times greater or smaller than the value of 8 in 758,910
german

Answer:

Yes

Step-by-step explanation:

One is in the hundreds and one is in the thousands. 100x10=1000

7 0
3 years ago
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