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Roman55 [17]
3 years ago
8

A college student is moving into a campus dormitory. The student rents a moving truck for $19.95 plus $.99 per mile. Before retu

rning the truck, the student fills the truck with gasoline, which costs $65.32. The total cost is $144.67. How many miles did the student drive the truck?
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

60 miles

Step-by-step explanation:

you have to do 19.95+ .99x+ 65.32= 144.67

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Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.
boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0
3 years ago
The dance committee of pine bluff school earns$72 from a bake sale and will earn $4 for each ticket they sell to the spring flin
Masja [62]
I think it would be 72+4x=400
400-72= 328
328/4= 82
So the answer would be 82=x
8 0
2 years ago
Use the system of equations and graphs below to complete the sentence. x − 2 ⁢ y = 5 3 ⁢ x + 15 ⁢ y = − 6 Set of 4 graphs are re
Leno4ka [110]

The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

x - 2y = 5

3x + 15y = -6

The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

#SPJ1

4 0
1 year ago
How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.
Ierofanga [76]

Answer:

1 3/10 pounds of candy. Or around 1 pound

Step-by-step explanation:

6 1/2= 6.5

6.5/5=1.3

1.3 as a fraction is 1 3/10

3 0
3 years ago
-3y = 2x - 9; x= -3, 0, 3
astraxan [27]
1.)-3y=2* -3-9
    -3y=-6-9
    -3y=-15
        y=5
    -3*5=-15
2.)-3y=2*0-9
    -3y=0-9
    -3y=-9
       y=3
     -3*3=-9
3.)-3y=2*3-9
    -3y=6-9
    -3y=-3
      y=1
     -3*1=-3
3 0
3 years ago
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