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3 years ago

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A plane is flying from Albuquerque new Mexico to Austin Texas so far it has flown 161 miles or 23% of the total distance of the

flight how far is the flight from Albuquerque to Austin

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

Answer: 700 miles.

Step-by-step explanation:

1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.

2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call $x$ ) as following:

$\frac{161miles}{23\%}=\frac{x}{100\%}$

Solve for $x$ . Then, you obtain that the result is:

$x=\frac{161miles*100\%}{23\%}\\x=700miles$

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Answer:

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Step-by-step explanation:

The first 4 digits are simple, you multiply the first digit of the equation by the 2nd digit and then for the other 2 you multiply the first digit of the equation by the 3rd digit.

6 + 2 + 8

6 * 2 = 12

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Then the last 2 digits are the sum of the products of the 1 and 2 and 1 and 3 and subtract it by the 2

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Point (2,3) is on a circle with the center (3,5). What is the radius of the circle?

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Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)

luda_lava [24]

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

= -21/(5+10)

= 21/15

Divide the top and bottom by 3.

= 7/5

The slope is 7/5.

Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

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Add 17 to each side

y = 7/5 x + 14 + 17

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2 years ago

I don't know how to simplify

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(5-2/x)/4-3/x^2

after simplifying these
(5x-2)/x(4x^2-3)/x^2
x(5x-2)/(4x^2-3)
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3 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: $0$ <em>(See attachment for graph)</em>

(c) $f(w) = -w + 21$

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 $w = 20$

$l = -20 + 21$

$l = 1$

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

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

<em>See attachment for graph</em>

<em></em>

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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