All categories

3 years ago

An 8ft length of 4 inch wide crown molding costs $14. How much will it cost to buy 32 ft of crown molding?

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

It will cost $56 to buy 32 ft of crown molding.

Explanation

Suppose, the cost of 32 ft of crown molding is $x$ dollar.

Given that, 8 ft length crown molding costs $14.

According to the ratio of "length" of crown molding to the "cost", the equation will be.......

$\frac{8}{14}= \frac{32}{x}\\ \\ 8x=14*32=448\\ \\ x=\frac{448}{8}=56$

So, it will cost $56 to buy 32 ft of crown molding.

You might be interested in

Determine which function has the greatest rate of change over the interval [0, 2].

ruslelena [56]

Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_2-x_1}$

Rate of change of $a$ :
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of $a$ :
$m= \frac{y_{2}-y_{1}}{x_2-x_1}$
$m= \frac{4-1}{2-0}$
$m= \frac{3}{2}$
$m=1.5$
The average rate of change of the function $a$ over the interval [0,2] is 1.5

Rate of change of $b$ :
Here the end points are (0,0) and (2,2)
$m= \frac{2-0}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $b$ over the interval [0,2] is 1

Rate of change of $c$ :
Here the end points are (0,-1) and (2,0)
$m= \frac{0-(-1)}{2-0}$
$m= \frac{1}{2}$
$m=0.5$
The average rate of change of the function $c$ over the interval [0,2] is 0.5

Rate of change of $d$ :
Here the end points are (0,0.5) and (2,2.5)
$m= \frac{2.5-0.5}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $d$ over the interval [0,2] is 1

We can conclude that the function that has the greatest rate of change over the interval [0, 2] is the function a.

4 0

3 years ago

What are the zeros of the polynomial function f(x)=x(x-4)(x+9)? HELP NEEDED!!!!

Kipish [7]

Answer: 0, 4, -9

Set the equation equal to zero.

x(x - 4)(x + 9) = 0

Solve for x by setting each factor equal to zero.

The factors in the equation are x, (x - 4), and (x + 9).

x = 0

(x - 4) = 0

x = 4

(x + 9) = 0

x = -9

The zeros of the function are 0, 4, and -9.

7 0

3 years ago

7y ÷ 2 = -2 what does y equal

schepotkina [342]

Answer:

y=-4/7

Step-by-step explanation:

7y/2=-2

multiply both sides by 2

7y=-4

divide both sides by 7

y=-4/7

8 0

3 years ago

Read 2 more answers

SADFHUABSUDHAYSDXNINWYGBXIDNYW PLEASE ANSEWR

Alenkinab [10]

Answer:

$15x-6y=48$

Step-by-step explanation:

So we have the system of equations:

$5x-2y=16\\15x-7y=51$

And we want to multiply the first equation by some constant such that the resulting equation matches the coefficient of [x] in the second equation.

We can see that the coefficient of x in the second equation is 15.

So, to match 15, we must multiply the first equation by 3. So:

$3(5x-2y)=3(16)$

Multiply:

$15x-6y=48$

And we're done!

5 0

3 years ago

Read 2 more answers

I will mark brainliest for answering this question.

ser-zykov [4K]

The unit rate of speed is 52.5 miles per hour

Solution:

Given that On a trip to visit relatives you drive 1,115.625 miles over the course of 21 hours and 15 minutes

We know that, 1 hour = 60 minutes

21 hours and 15 minutes = 21 hours + (15/60) hours = 21 + 0.25 = 21.25 hours

So they drive 1115.625 miles in 21.25 hours

To find the unit rate of speed of your vehicle in miles per hour, divide the total miles by time taken

unit rate of speed means miles driven in 1 hour

$\rightarrow \frac{1115.625}{21.25} = 52.5$

So the unit rate of speed is 52.5 miles per hour

7 0

3 years ago