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3 years ago

Megan hiked 15.12 miles in 6.3 hours. If Megan hiked the same number of miles each hour, how many miles did she hike each hour?

Mathematics

1 answer:

Burka [1]3 years ago

7 0

The answer to this is very simple. First, just multiply 15.12 x 6.3 = 95.256

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54 as a product of primes

kvasek [131]

54 can be factored as follows:

54

2*27

2*3*9

2*3^2*3

2*3^3

Therefore, 54 is equal to 2*3^3, or 2*3*3*3.

6 0

3 years ago

5. Jared collected data on the ages and heights of a random

Zepler [3.9K]

Now, as you grow older, most people get TALLER, right? So, when both items move up, it is positive correlation. Now, there are those few special ones who break the law of growing, nah just kidding. It's C :)

6 0

3 years ago

Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres. Let be the number of litres in

mixas84 [53]

Answer:

a) 1/7 liters of petrol is used for each mile

Step-by-step explanation:

Justin fills his car with 40 litres of petrol. After travelling 35 miles it's down to 35 litres.

From the above statement:.

The difference is :

40 litres - 35 liters = 5 liters

Hence:

After travelling 35 miles he used 5 liters

(a) How much petrol does the car use each mile?

This is calculated as:

35 miles = 5 Liters

1 mile = x liters

Cross Multiply

35x = 5 Liters

x = 5/35

x = 1/7 liters

Hence, for each mile, 1/7 liters of petrol is used

4 0

3 years ago

A rectangle has one of its sides on the x-axis and corners of the opposite side on the piece of the parabola y = 12 − x 2 above

saw5 [17]

Answer:

$A(x) = 24x - 2x^3$

Step-by-step explanation:

first we need to visualize what the question is trying to represent

A rectangle with one of its sides on the x-axis
The corners of the opposite two sides of the rectangle intersect with a parabola

the equation of the parabola is $y = 12 - x^2$

the equation of the parabola can also be written as

$y = -x^2 + 12$ this shows that the parabola has a $\cap$ shape and the turning point (peak) lies at the y-axis at y = 12. The parabola is symmetric along the y-axis!

right corner of the lower side of the rectangle has the coordinates (x,0)

we can also say that the coordinates of the lower left side are (-x,0). This is because the parabola is symmetric along the y-axis.

Solution:

We have enough information to express the sides lengths of the rectangle:

1) Lower side, (L)

We'll name the lower side 'L' and since this is a rectangle, this side length is the same as the upper side.

The lower side coordinates are (-x,0) and (x,0). Hence the side length is the difference of the two coordinates.

$L = x-(-x)$

$L = 2x$

2) The Left and Right side have the same height (H)

since the the lower side is on the x-axis (y=0), the only side moving is the upper one, i.e the coordinates of the upper corners are (0,y) where $y = 12- x^2$ . The side length of either the left or right sides is $y$