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Anvisha [2.4K]
3 years ago
11

Vicki started jogging. The first time she ran she ran 3/16 mile. The second time, she ran 3/8 Mile, and the third time, she ran

9/16 mile. If she continue this pattern, when was the first time she ran more than one mile explain
Mathematics
2 answers:
zhenek [66]3 years ago
4 0

Answer: So the pattern is 3/16, 3/8, 9/16

here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.

Then the sequence is 3/16, 6/16, 9/16....

you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.

So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile

the fifth time: (12 + 3)/16 = 15/16 mile

the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles

So the sixth time she will ran more than one mile.

kipiarov [429]3 years ago
3 0
The 6th time she runs!
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Step-by-step explanation:

1/3 x -4

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x=12

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3 years ago
Markita bought a roll of carpet that is 8.5 feet wide. The maximum area the carpet will cover is 136 square feet. What is the lo
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Answer:

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I hope this was helpful!

3 0
4 years ago
Write a quadratic equation in the form x² + bx+c=0 that has the following
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3 years ago
Reflect the point (2, -4) over the y-axis. Question 1 options: (2, 4) (-2, -4) (-4, 2) (-2, 4) Question 2 will mark the brainlie
o-na [289]

Answer:

The coordinates of the image point will be (-2,-4).

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The reflection of the point (2,-4) over the y-axis is to be determined.

Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.

So, the image point will have coordinates (h,-4).

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3 0
3 years ago
Solve:<br> 2/3x+15=17<br><br> 3x+8-x=7<br><br> 4(2x-6)=2
Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

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The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0
4 years ago
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