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Anna [14]
3 years ago
14

When Jasmine started jogging, she ran 3/4 mile on the first day, 1 1/8 mile on the second day, and 1 1/2 mile on the third day.

If she increased the distance she jogged each day by the same amount, how far did she jog on the fifth day?
Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

The answer to your question is 2 1/4

Step-by-step explanation:

Data

First day = 3/4

Second day = 1 1/8

Third day = 1 1/2

Process

1.- Find the difference between the distances

          1 1/8 - 3/4  =  (8 + 1)/8 - 3/4  

                            = 9/8 - 3/4

                            = (9 - 6)/8

                            = 3/8

         1 1/2 - 1 1/8 = (2 + 1)/2 - (8 + 1)/8

                           = 3/2 + 9/8

                           = (12 + 9) / 8

                           = 3/8

2.- Find the distance she ran the fifth day

5th = 1 1/2 + 3/8 + 3/8

       = 3/2 + 3/8 + 3/8

       = 12/8 + 3/8 + 3/8

       = 18/8

       = 9/4

      = 2 1/4          

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Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the
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They will be 15 miles apart after one hour if they left the same point at the same time.

<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

\mathbf{d = \sqrt{x^2 +y^2}}

where;

  • x and y are opposite and adjacent sides respectively.

\mathbf{d = \sqrt{(9)^2 +(12)^2}}

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\mathbf{d = \sqrt{225}}

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5 0
1 year ago
Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+
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Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

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