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3 years ago

Tom hikes 2 miles every 10 minutes, what is his speed in miles per hour_. How far will he hike in 7 hours?___

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

12 miles per hour
98 miles per 7 hours

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What is the area of the rectangle below?

DiKsa [7]

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2 years ago

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

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3 years ago

A spinner is divided into 12 equal parts. The probability of spinning an x is 3/4

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I think it’s a or c

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3 years ago

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2 years ago

Tom hikes 2 miles every 10 minutes, what is his speed in miles per hour_____. How far will he hike in 7 hours?_______

Tom hikes 2 miles every 10 minutes, what is his speed in miles per hour_. How far will he hike in 7 hours?___