Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is Bob driving?

Answers

Answer 1
Answer:

Answer:

  55 mph

Step-by-step explanation:

Let x represent Bob's speed. Then John's speed is x+10, and their respective times are found by ...

  time = distance/speed

  330/x = 390/(x+10) . . . . . . . the times are the same

  330(x +10) = 390x . . . . . . .  multiply by x(x+10)

  3300 = 60x . . . . . . . . . . . . . subtract 330x

  55 = x . . . . . . . . . . . . . . . . . . divide by the coefficient of x

Bob is driving at 55 miles per hour.


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Write the following number in expanded form 46,371

Answers

46,371 = 40,000 + 6,000 + 300 + 70 + 1

The number of boxes of food that six volunteers collected for the food drive is given in the table below.Number of Boxes
32
35
20
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What is the mean absolute deviation? Round to the nearest tenth.

Answers

Answer:

The mean absolute value is 7.7, when rounded to the nearest tenth.

Step-by-step explanation:

1.) To get the mean absolute deviation you have to find the mean first:

  • 32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24

2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:

  • 32 - 24 = | 8 | → 8
  • 35 - 24 = | 11 | → 11
  • 20 - 24 = | -4 | → 4
  • 16 - 24 = | -8 | → 8
  • 28 - 24 = | 4 | → 4
  • 13 - 24 = | -11 | → 11

3.) Then, you have to find the mean of the absolute values:

  • 8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667‬ = 7.7

Answer:

its 7.7

Step-by-step explanation:

i got it right in edg

Match the system of linear equations with its graph. Then determine whether the system has one solution, no solution, or infinitely many solutions. 3.-x+y=1 x-y=1 5.2x+y=4 -4x-2y=-8 7.-2x+4y=1 3x-6y=9

Answers

The system of linear equations that match with its graph and the solution is

  • Number 3 with F has no solution.
  • Number 4 with E has infinitely many solutions.
  • Number 5 with B infinitely many solutions.
  • Number 6 with C has one solution.
  • Number 7 with D has no solution.
  • Number 8 with A has one solution.

Making a graph of a system of linear equations is done by substituting the value x = 0 and the value y = 0 in an equation. After getting two points, draw a line through the two coordinates. But if the equation goes past the point (0 , 0) then take another value of x at random to get another point. Graph and solution

  • The parallel lines will have no solution.
  • Two intersecting lines will have one solution.
  • Two coincide lines will have infinitely many solutions.

3. - x + y = 1

  • x = 0
    0 + y = 1
    y = 1
    (0 , 1)
  • y = 0
    - x + 0 = 1
    x = - 1
    (- 1 , 0)

x - y = 1

  • x = 0
    0 - y = 1
    y = - 1
    (0 , - 1)
  • y = 0
    x - 0 = 1
    x = 1
    (1 , 0)

Graph F matches the system.

The two lines are parallel.

No solution.

4. 2x - 2y = 4

  • x = 0
    - 2y = 4
    y = - 2
    (0 , - 2)
  • y = 0
    2x = 4
    x = 2
    (2 , 0)

- x + y = - 2

  • x = 0
    y = - 2
    (0 , - 2)
  • y = 0
    - x = - 2
    x = 2
    (2 , 0)

Graph E matches the system.

The two lines coincide.

Infinitely many solutions.

5. 2x + y = 4

  • x = 0
    y = 4
    (0 , 4)
  • y = 0
    2x = 4
    x = 2
    (2 , 0)

- 4x - 2y = - 8

  • x = 0
    - 2y = - 8
    y = 4
    (0 , 4)
  • y = 0
    - 4x = - 8
    x = 2
    (2 , 0)

Graph B matches the system.

The two lines coincide.

Infinitely many solutions.

6.  x - y = 0

  • x = 0
    - y = 0
    y = 0
    (0 , 0)
  • x = 2
    2 - y = 0
    y = 2
    (2 , 2)

5x - 2y = 6

  • x = 0
    - 2y = 6
    y = - 3
    (0 , - 3)
  • y = 0
    5x = 6
    x = 6/5
    (6/5 , 0)

Graph C matches the system.

The two lines intersect.

One solution.

7. - 2x + 4y = 1

  • x = 0
    4y = 1
    y = 1/4
    (0 , 1/4)
  • y = 0
    - 2x = 1
    x = - 1/2
    (- 1/2 , 0)

3x - 6y = 9

  • x = 0
    - 6y = 9
    y = - 3/2
    (0 , - 3/2)
  • y = 0
    3x = 9
    x = 3
    (1 , 3)

Graph D matches the system.

The two lines are parallel.

No solution.

8. 5x + 3y = 17

  • x = 0
    3y = 17
    y = 17/3 = 5  2/3
    (0 , 5  2/3)
  • y = 0
    5x = 17
    x = 17/5 = 3  2/5
    (3  2/5 , 0)

x - 3y = - 2

  • x = 0
    - 3y = - 2
    y = 2/3
    (0 , 2/3)
  • y = 0
    x = - 2
    (- 2 , 0)

Graph A matches the system.

The two lines intersect.

One solution.

Learn more about equation here: brainly.com/question/29784240

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Apply the commutative property to 13×7×21 to rearrange the terms and still get the same solution

Answers

commutative property
abc=acb=bac=bca=cab=cba
multiplicatoin can move

some possible ones
(13)(7)(21)=(13)(21)(7)=(21)(7)(13)=(21)(13)(7)=(7)(13)(21)=(7)(21)(13)
any of those work
the community answer for this equation could be 7*21*13 or 21*7*13.

Choose the three fractions that are less than 4/8 A) 1/2 B) 1/4 C) 5/8 D) 1/3 E) 1/8 F) 3/4

Answers

Answer:

B. 1/4  

D. 1/3  

E. 1/8

Step-by-step explanation:

4/8 can be represented as 1/2 or a half, therefore, find fractions that are less than half of the denominator.

Doing so will leave you with B, D, and E.

B.

Half of 4/4 is 2/4, 1/4 is less

D.

Half of 3/3 is 1.5/3, 1/3 is less

E.

Half of 8/8 is 4/8, 1/8 is less

I need help with all of it

Answers

Domain = x values; Range = y values

1) Domain: [0,6] Range: [-3,3]

2) Domain: (-infinity, infinity) Range: [-1, infinity)

3) Domain: [-2, 5] Range: [-2, 1]

4) Domain: (-infinity, 4] Range: (-infinity, infinity)

5) Domain: [-3, 3] Range: [-4, 4]

6) Domain: (-infinity, 4] Range: (-infinity, infinity)