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aliya0001 [1]
3 years ago
5

Marcie ran the 400-meter race 3 times. her fastest time was 51.3 seconds. Her slowest time was 56.4 seconds. If Marcie's average

time was 53.4 seconds, what was her time for the third race?
Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

<em>52.5 Seconds</em>

<em></em>

Step-by-step explanation:

Let's call, her time for the third race, x.

To find the average (53.4), we add up all the values and then divide this total by the number of values.

So, we will set up our equation.

      56.4 + 51.3 + x

>    ------------------------ = 53.4

                3

To get rid of 3, we will multiply both sides by 3.

>   56.4 + 51.3 + x = 160.2

>   107.7 + x = 160.2

We will subtract 107.7 from both sides to isolate x.

<h2>> x = 52.5</h2><h2></h2><h3><em>I hope it will be understood.</em></h3><h3><em>If I have any inaccuracies please let me know.</em></h3><h3><em>Have a nice day and never stop questioning!</em></h3>
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I’m confused on this one
Mandarinka [93]

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP


From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.


Givens

PQ = 8

QR = 5

RS = 15

ST = x + 3


Ratio

QR/RP = RS/RT


Sub and solve

RP = 5 + 8

RP = 13


RT = 15 + x + 3

RT = 18 + x


5/13 = 15 / (18 + x) Cross multiply

5(18 + x) = 195 Remove the brackets on the left.

90 + 5x = 195 Subtract 90 from both sides.

5x = 105 Divide by 5

x = 105/5

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3 years ago
Which point is located at -0.135? <br> A<br> B <br> C or <br> D
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D as you can see on the number line d is 1/3 of the way to -2
6 0
3 years ago
GEOMETRY<br><br> *image is attached above*
Keith_Richards [23]

Answer:

(-9.5, -4)

Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}).

Given two endpoints of the original segment

→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]

Along with the ratio of the two partitioned segments

→ 1 to 3 = 1:3 [a:b]

Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}). →

( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8)) →

( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8)) →

( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8)) →

( (\frac{1}{2}) + (-10), (4) + (-8)) →

( (-\frac{19}{2}), (-4)) →

( -\frac{19}{2}, -4) →

*( -9.5, -4)*

Now the reason why this

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The answer is 16X^12y^19
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Answer:

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