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tigry1 [53]
3 years ago
15

Erica ran 3 out of 8 Miles. Mariah ran 3 out of 4 miles. Who ran father?

Mathematics
2 answers:
Katen [24]3 years ago
8 0
What you need to is find out how much 3/8 is, compared to 3/4. since 4 is half of 8 you have to multiply 3/4 by 2, which gives you 6/8. 6/8 is greater than 3/8, therefore Mariah ran farther
Simora [160]3 years ago
5 0
Mariah ran farther because if you make the fractions decimals, 3/8 is smaller distance.
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A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

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3 years ago
If 70 was removed from the set of data, which values would change?
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Its mean and range . Even if we remove 70 the median is the same. The mean changes also as 580/7 isnt the same as 510/6 and also the range changes as it decreases by 5. Hope it helped :)
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A student studies the graph shown below and determines that the reflection of point a over the x - axis will result in a point a
Molodets [167]

The student is incorrect because if they were to reflect point A over the X-axis, this would mean they are moving it from its current quadrant to the one below. In that quadrant, the Y coordinate will be negative. So it couldn't possibly (6,3), because the 3 isn't negative.

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Whats 20 times 30 ÷ 65
vlabodo [156]
20 * (30 ÷ 65) = <span>9.23076923077</span>
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