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jeka94
3 years ago
11

Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with aconsta

nt acceleration. Alison covers the last 1/4 of thedistance in 3 seconds, whereas Kevin covers the last 1/3 of thedistance in 4 seconds. Who wins and by how much time? Please show all steps and the logic to get there.
Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

They arrive at the same time.

Step-by-step explanation:

If Alison spends 3 seconds to cover the last 1/4, it means that in 12 seconds will cover the four quarters because the acceleration is constant.

On the other hand Kevin spends 4 seconds to cover the last 1/3 of the distance, it  means that in 12 seconds will cover three thrds.

Finally we can conclude that both of them spend the same time to cover the drag race.

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<span>The ladder is the hypotenuse of a right triangle.
one side=6ft
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What is the slope of the line that passes through (-3, 6) and (6, 8)? Type a numerical answer in the space provided. If necessar
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2/9

Step-by-step explanation:

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8 0
3 years ago
To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. identify the type of relation between cent
Westkost [7]
Hey there! Hello!

This can be represented by the equation y=2.54x, where:

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x=measurement in cm

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Hope this helped you out, feel free to ask any additional questions if you need further clarification! :-)

4 0
3 years ago
How many L of A 90% saline solution must be mixed with 4 L of a 50% saline solution to make a 74% solution ?
insens350 [35]

Answer:

6 L

Step-by-step explanation:

Given two solutions:

1st solution is 90% saline solution. Let the volume of this solution be x litres.

2nd solution is 50% saline solution. Volume of this solution = 4 L

Resultant solution is 74% saline.

To find:

The volume of 1st solution = ?

Solution:

Total volume of the 74% saline mixture = (4+x) Litres

We can write equation here, as per the percentage of saline in the mixtures.

90% of x L + 50% of 4 L = 74% of (x+4)

\Rightarrow \dfrac{90x}{100} + \dfrac{50}{100}\times 4 = \dfrac{74}{100}\times (x+4)\\\Rightarrow 90x + 200 = 74x+296\\\Rightarrow 90x-74x = 296-200\\\Rightarrow 16x = 96\\\Rightarrow x = \bold{6\ L}

Therefore, the volume must be <em>6 L</em>.

8 0
3 years ago
Can anyone help me with these two plz
Evgen [1.6K]

Answer:

Part 1) The scale factor is 1.5

Part 2) The altitude QS is 4\ units

Part 3) The scale factor is \frac{2}{3}

Part 4) The value of x is 12\ units

Part 5) The perimeter of ABCDE is 46\ units

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{NP}{RT}

substitute the values

z=\frac{24}{16}=1.5

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

QS=\frac{6}{1.5}=4\ units

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{AB}{FG}

substitute the values

z=\frac{10}{15}=\frac{2}{3}

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

AE=FK(z)

substitute the values

AE=18(2/3)=12\ units

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

z=\frac{x}{y}

we have

z=\frac{2}{3}

y=15+9+12+15+18=69\ units

substitute the values

z=\frac{x}{y}

x=(z)(y)=\frac{2}{3}(69)=46\ units

6 0
4 years ago
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