Solve for x Round your answer to the newer hundredth.

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with th

KatRina [158]

Answer:

21 weeks

Step-by-step explanation:

In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

Let us make a mathematical representation for this.

Let the time be t, number of workers be w and length be l

t is directly proportional to l and inversely proportional to w

Mathematically;

t = kl/w

Where k is the constant of proportionality.

Let’s find the value of k

150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k

14 = k * 12/150

k = 150 * 14/12 = 175

Now we want to get t given w and l

from ;

t = kl/w

We can get t; where l = 15 and w = 125

t = 175 * 15/125

t = 21 weeks

4 0

3 years ago

Read 2 more answers

Order numbers from least to greatest 16,4, 1.64, 1.6, 16.099

Paladinen [302]

These are from least to greatest 1.6,1.64,16,4,16.009

7 0

3 years ago

Read 2 more answers

What are the values of a and b?

Helen [10]

A is 6 because so is the side across from it

And B is 8 because it the same size just flip it

Brainliest would be appreciated

4 0

3 years ago

Pleaseeee helpppp!!!!

kondor19780726 [428]

The right answer is Option A: $x=\frac{rs-t}{2}$

Step-by-step explanation:

Given expression is;

$s=\frac{2x+t}{r}$

We will solve this expression for x, therefore,

Multiplying both sides by r

$r*s=\frac{2x+t}{r}*r\\rs=2x+t$

Subtracting t from both sides

$rs-t=2x+t-t\\rs-t=2x\\2x=rs-t$

Dividing both sides by 2

$\frac{2x}{2}=\frac{rs-t}{2}\\x=\frac{rs-t}{2}$

The right answer is Option A: $x=\frac{rs-t}{2}$

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

7 0

3 years ago

Consider the following.

san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

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Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k or x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

x = -3pi
x = -pi
x = pi
x = 3pi
x = 5pi

and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0

3 years ago