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insens350 [35]
3 years ago
9

Tuition. The tuition at a community college increased from $2,500 to $2,650 per semester. What was the percent of increase in th

e tuition?​
Mathematics
2 answers:
konstantin123 [22]3 years ago
4 0

Answer:

6 percent increase

Step-by-step explanation:

2650 divided by 2500 gives you 1.06 which means if 2500 is 100 percent 2650 would be 106 percent so the answer is a 6 percent increase

defon3 years ago
3 0

Answer:

6%

Step-by-step explanation:

another way of doing this type of calculation is...

<u>NEW-OLD </u>  =  <u>2650-2500 </u>  = <u>150</u>     = .06 = 6%

   OLD                2500            2500

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leonid [27]

Answer:

<h2>x=0</h2>

Step-by-step explanation:

4x+4=4

-4 to get 4x alone

4x=0

therefore x=0

7 0
3 years ago
Read 2 more answers
Find the unit rate for a runner in miles per hour who runs at a pace of 3/4 mile in 10minutes
yanalaym [24]

Answer:

\large \boxed{\text{4.5 mi/h}}

Step-by-step explanation:

A unit rate is the number of something there is per one unit of something else.

In this question, the unit rate is the number of miles per one hour.

1. Convert minutes to hours

\text{time} = \text{10 min} \times \dfrac{\text{1 h}}{\text{60 min}} = \frac{1}{6} \text{ h}

2. Find the unit rate

\begin{array}{rcl}\text{unit rate} & = & \dfrac{\text{miles}}{\text{hours}}\\\\& = & \dfrac{\frac{3}{4}\text{ mi}}{\frac{1}{6}\text{ h}}\\\\& = &\dfrac{3}{4} \times \dfrac{6}{1}\text{ mi/h}\\\\& = & \dfrac{3}{2} \times\text{3 mi/h}\\\\& = & \textbf{4.5 mi/h}\\\end{array}\\\text{The unit rate is $\large \boxed{\textbf{4.5 mi/h}}$}

7 0
3 years ago
Solve the compound inequality for x and identify the graph of its solution. x + 7 &lt; 3 or x - 52 -1 O A. Solution: x &lt; -4 o
aleksley [76]

Answer:

  D.  x < -4 or x ≥ 4

Step-by-step explanation:

You can eliminate choices A and B because the graph and the inequalities do not agree.

__

You can eliminate choice C because the first inequality tells you ...

  x < some value

That means the shading will be to the left of an open circle.

This is only shown in Choice D.

_____

<em>Additional comment</em>

You can work multiple choice questions several different ways. I like to choose the simplest, which often means you do not actually need to work the problem. You only need to be able to identify ...

  • answers that are self-consistent
  • answers that are consistent with problem requirements
  • answers that are consistent with numerical and geometric facts

Here, we can eliminate incorrect answers by throwing out those that are not self-consistent and that are not consistent with the problem statement.

__

If we were to solve the inequalities, we would subtract 7 from both sides of the first one:

  x +7 < 3

  x < -4 . . . . . . subtract 7 from both sides

and we would add 5 to both sides of the second one:

  x -5 ≥ -1

  x ≥ 4 . . . . . . add 5 to both sides

If you write these inequalities so the symbols point left, you have ...

 x < -4  or  4 ≤ x

This tells you shading is "outside" the segment between -4 and 4, and that there is an open-circle at x=-4. This is consistent with the number lines of choices B and D. However, these inequalities are <em>not consistent</em> with what is written in choice B.

6 0
3 years ago
Divide. Round your answer to the nearest hundredth.<br> 4,266.98 divide 3
elena-s [515]

Answer:

1,422.33

Step-by-step explanation:

6 0
3 years ago
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Which expression is a cube root of -1+i√3?
Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

Z=(r,\theta)

Then the cubic roots of Z are

\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)

\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)

\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)

We are given the complex number in rectangular components

Z=-1+i\sqrt{3}

Converting to polar form

r=\sqrt{(-1)^2+(\sqrt{3})^2}=2

\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}

It's located in the second quadrant, so

\theta=120^o

The number if polar form is

Z=(2,120^o)

Its cubic roots are

\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)

\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)

\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)

Converting the first solution to rectangular coordinates

z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)

The correct option is C.

8 0
3 years ago
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