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andreyandreev [35.5K]
3 years ago
6

Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his

jackets and scarf to school on the same day.
Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

24th day will  be the first day on which Tyler will wear his jackets and scarf to school

Step-by-step explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

<u>Finding the LCM of(3,8)</u>

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime  =>  3^1

Prime Factorisation of 8 is:

2 x 2 x 2  =>  2^3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

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Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Salsk061 [2.6K]

The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).

Here the bird path will be a parabola with a maximum height of 20 yards.

The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)

= √(38-2)²

= 36 yards

Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).

Learn more about the parabola here:

brainly.com/question/8708520

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8 0
2 years ago
The length and the breadth of a rectangular piece of land are 500m and 300m respectively. Find it’s area
katrin [286]
Area of a rectangle = Length x Breadth
The required area = 500 x 300
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6 0
3 years ago
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Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
Zinaida [17]

Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

So, each new piece pf fabric is \dfrac{1}{20}\ \text{yards}.

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3 years ago
The density of a block of wood with a volume of 50 cubic centimeters and mass off 100 grams is...................
Natalija [7]
Mass  = 100  g

Volume = 50 cm³

Density :

D = m / V

D = 100 / 50

D =  2 g/cm³

answer A

hope this helps!.
4 0
3 years ago
Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t s
Y_Kistochka [10]

Answer:

h = 147 - 16t^2.

Step-by-step explanation:

Use the following equation of motion

h = ut + 1/2 gt^2    where  h = height, u = initial velocity , g = acceleration due to gravity and t = the time.

So here we have:

h = 14t + 1/2 * -32 * t^2

h = 14t - 16t^2

8 0
3 years ago
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