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blsea [12.9K]
3 years ago
6

The cities Cleveland, Ohio; Erie, Pennsylvania; and Rochester, New York, in respective order, lie approximately in a straight li

ne. The distance from Cleveland to Erie is 94 miles. The distance from Cleveland to Rochester is 239 miles. Find the distance from Erie to Rochester.
Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

  Erie to Rochester is 145 miles

Step-by-step explanation:

If we designate the points of interest as C, E, and R, we are told that ...

  CE + ER = CR . . . . . the various distances are segments of a straight line

For CE = 94 and CR = 239, we can fill in the given information and solve for ER.

  94 + ER = 239

  ER = 239 -94 . . . . . . subtract 94 from both sides of the equation

  ER = 145

The distance from Erie to Rochester is 145 miles.

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Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22                   11*3=33

22+5 = 27                33-6= 27

4 0
2 years ago
Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is a1=-3
timama [110]

Answer:

81

Step-by-step explanation:

the formula for an arithmetic sequence:

aₙ = a₁ + (n-1)d

where aₙ = the nth term

a₁ = the 1st term = -3

n = the term number = 13

d = the common difference = 7

Plugging in those values into the formula to find a₁₃:

a₁₃ = -3 + (13-1)7

= -3 + (12)7

= -3 + 84

= 81

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1 year ago
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B

Step-by-step explanation:

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7 0
3 years ago
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Nesterboy [21]
A graphing calculator is a great help for problems of this nature.
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3 years ago
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My name is Ann [436]

Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.

We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.

We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:

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Now let us solve our equation to find Daniel's present age.

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\text{Kevin's present age}=8\cdot3=24

Therefore, Kevin is 24 years old now.  

8 0
3 years ago
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