The cost of tuition at Johnson Community College is $200 per credit hour. Each student also has to pay $70 in fees. Write an equation that represents the tuition cost C for x credit hours taken.


a. C = 200x + 70

c. C = 200 + 70x

b. C = 70x

d. C = 200x

Answers

Answer 1

The equation that represents the tuition cost C for x credit hours taken is C = 200x + 70 thus, option (A) is correct.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given,

Fixed cost = $70

Per credit hour fee = $200

For x credit hour = 200x

Tuition cost C = 200x + 70

Hence "The equation that represents the tuition cost C for x credit hours taken is C = 200x + 70".

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Answer 2

Answer:A) C = 200x + 70

Step-by-step explanation:


Related Questions

For which value would the graph y= x^4 -25 be below the x axis?

Answers

1 because 1^4-25=-24 which is negative(so below the x-axis)

Calculate the above formula, expressing the answer in scientific notation with the correct number of significant figures

Answers

[tex]\frac{8.86 + 1.0 \times 10^{-3}} {3.610 \times 10^{-3}}=\frac{8.86 + 0.001} {0.00361} \\ \\ =\frac{8.861} {0.00361}=2,454.57=\bold{2.455\times10^3}[/tex]

Please help and show work thank you.

1. How are the angles of an equilateral triangle related?

2. How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

Answers

An equilateral triangles has 3 equal sides and 3 equal angles.
All the angles of an equilateral triangle have a measure of 60 degrees.

Using the Pythagorean theorem, the length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared.

Here's the equation for the Pythagorean theorem.
Let c be the length of the hypotenuse.
Let a and b be the length of the two legs.
a^2 + b^2 = c^2 

Have an awesome day! :)
1.
A triangle has 3 angles. The sum of the measures of the angles in a triangle is always 180 degrees. An equilateral triangle has three angles with the same measure. Since all angles have the same measure and the sum of their measures equals 180 degrees, each angle measures 180/3 = 60 degrees.
Answer: All angles of an equilateral triangle have the same measure, and the measure is 60 degrees.

2.
The Pythagoras theorem tells us that for every right triangle, if the legs have lengths a and b, and the hypotenuse has measure c, then a^2 + b^2 = c. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.

Flint purchased a boat for $10,815. He made a down payment of $1,175. He applied for a six-year installment loan with an interest rate of 9.4% in the amount of $9,640. What is the total cost of the boat after six years?

$12,649.68
$13,824.68
$11,831.61
$10,546.16

Answers

Final answer:

The total cost of the boat after six years is $6,616.44.

Explanation:

To find the total cost of the boat after six years, we need to calculate the interest paid on the loan over that period of time.

The loan amount is $9,640 with an interest rate of 9.4% per year.

Since the loan is for six years, we multiply the loan amount by the interest rate and the number of years: $9,640 × 0.094 × 6 = $5,441.44.

Adding the down payment of $1,175 to the interest paid on the loan, we get the total cost of the boat after six years: $5,441.44 + $1,175 = $6,616.44.

Find the zeros (roots) of the following equations.
f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0

Answers

Hello,

f(1)=2-9+12-12+10-3=0 ===>(x-1)*....
f(3)=2*3^5-9*3^4+12*3^3-12*3^2+10*3-3=0 ===> (x-3)*....
f(1/2)=2*(1/2)^5-9*(1/2)^4+12*(1/2)^3-12*(1/2)^2+10*1/2-3=0 ===>(2x-1)*...

f(x)=(x-1)(x-3)*(2x-1)*(x²+1)
In C, x=i ou x=-i

Zeros are 1/2,1,3,i,-i


Answer:

Therefore the roots of equation 1 are 1,3 1/2,-i,+i

Step-by-step explanation:

in this question we have given

[tex]f(x) = 2x^5 - 9x^4 + 12x^3 - 12x^2 + 10x - 3 = 0[/tex].......1

we have to find the roots of this equation

put x=1 in equation 1

[tex]f(1)=2-9+12-12+10-3\\f(1)=0[/tex]

It means x=1 is root  of equation 1

now put x=3 in equation 1

[tex]f(3)=2\times3^5-9\times3^4+12\times3^3-12\times3^2+10\times3-3\\f(3)=0[/tex]

therefore,x=3 is root of equation 1

Now put x=[tex]\frac{1}{2}[/tex] in equation 1

[tex]f(\frac{1}{2})=2\times (\frac{1}{2} )^5-9\times(\frac{1}{2})^4+12\times(\frac{1}{2})^3-12*(\frac{1}{2})^2+10\times \frac{1}{2}-3\\f(\frac{1}{2})=0[/tex]

It means x=[tex]\frac{1}{2}[/tex] is also root of equation 1

therefore equation one can be written as

[tex]f(x)=(x-1)(x-3)(2x-1)(x^2+1)[/tex]

therefore remaining 2 roots can be calculated by solving

[tex]x^2+1=0\\x=\sqrt(-1)\\x=i,-i[/tex]

Therefore the roots of equation 1 are 1,3 1/2,-i,+i

Find the volume of the pyramid. Round your answer to the nearest hundredth.
A. 146.61
B. 154.87
C. 164.61
D. 186.61

Answers

I would say b hope this help ☺

What is the first term of the geometric sequence presented in the table below?


n 5 7
an 176 704


Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.

Answers

176 = a1 * r^4
704 = a1 * r^6

dividing:-

r^2 = 706/174 =  4   so r = +/- 2

a1 =  176 / 2^4 =  176/16 = 11

So 11 is the first term 

a family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water.

Answers

Answer:

it's 2.125

Step-by-step explanation:

The required speed of family's paddling speed in still water is 2.125 mi/h.

Given that,
A family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relatives to the riverbank.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Let the speed of the family on still water be x,
Speed of the current be y
According to the question,
upstream speed,
1.5 = x - y  - - - - - (1)
Downstream speed,
2.75 = x + y - - - - - (1)

Solving equations 1 and 2 givens,
2x = 4.25
x = 2.125 mi / h

Thus, the required speed of the family paddling speed in still water is 2.125 mi/h.

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You board a Ferris wheel at ground level and travel to the very top, when it stops to allow more riders to get on.

How many degrees has the Ferris wheel rotated?

Answers

Answer:

answer is 180 degrees

Step-by-step explanation:


180 degrees has the Ferris wheel rotated

What is rotation?

Rotation is the circular movement of an object around an axis of rotation.

Given:

There is ferries wheel when we board on ferris wheel it will be considered as 0 degree.

but when the ferris wheel stop to get more riders on at that time we are vey top.

So, we have covered half of the complete angle i.e., 180 degree

Hence, the ferris wheel cover 180 degrees.

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Gordon recently started jogging. Last week he jogged for 16 minutes. Starting this week, he decided to add 7 minutes to his jog each week. Which of the following equations represents how long his jog will be after x additional weeks
A y = 7x + 23
B y = 7x + 16
C y = 16x + 7
D y = 16x + 23

Answers

it will be c. y=7x+16

The equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Gordon recently started jogging. Last week he jogged for 16 minutes.

Let x be the number of weeks

and y represents the total number of minutes Gordon walks

From the given data the linear equation can be framed as follows:

y = 7x + 16

Thus, the equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.

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In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

Answers

If you would like a list of the steps/formula, message me and I'll send it to you as it's too long to post here. The answer to your question would be a21 = 162.

Hope this helped, and if it did I'd appreciate if you marked me as brainliest as I need it to get to a higher rank. If you need any more help, feel free to add me and/or message me :)

Let y = safe load in pounds and x = length in feet of a horizontal beam. A constant of proportionality k exists such that . If a beam can hold 2,000 pounds at 15 feet, what is the safe load if the length of the beam is 10 feet?

Answers

To find the safe load of a 10-foot long beam, first calculate the constant of proportionality k using the safe load and length of the known beam, and then multiply k by the new length. The safe load for a beam of length 10 feet would be 1333.3 pounds.

First, calculate the constant of proportionality k using the information provided: k = 2000 pounds / 15 feet = 133.33 pounds/foot.

Next, find the safe load y for a beam of length 10 feet: y = k * x = 133.33 pounds/foot * 10 feet.

Calculate the result: y = 1333.3 pounds.

Therefore, the safe load for a beam of length 10 feet would be 1333.3 pounds.

A recipe uses 3 cups of water, 2 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?

Answers

The answer would be [tex] \frac{3}{2} [/tex] There are three cups of water to 2 cups of rice.

Final answer:

The ratio of cups of rice to cups of water in the recipe is 2 to 3, which can also be written as 2/3.

Explanation:

The question asks us to find the ratio of cups of rice to cups of water. The recipe provided uses 2 cups of rice and 3 cups of water. To find this ratio, we simply compare the number of cups of rice to the number of cups of water and write it as a fraction or a division problem.

In this case, the ratio is:

2 cups of rice : 3 cups of water

Which we can also write as 2/3 or say that for every 2 cups of rice, there are 3 cups of water.

In how many ways can 12 people be divided into three groups of 4 for an

Answers

Well, 12 divided by 3 is equal to 4. Therefore, you can split 12 people into 3 groups of 4

What value of k makes the statement true? xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k =

Answers

xky4 (2x3 + 7x2y4) = 2x4y4 + 7x3y8Distribute xy4 to the parentheses such as:k (2x4y4 + 7x3y8) = 2x4y4 + 7x3y8Divide both sides by 2x4y4 + 7x3y8 such as shown below:k = (2x4y4 + 7x3y8) / (2x4y4 + 7x3y8)k=1
The answer is "1".

Answer: Answer is 1

Step-by-step explanation:

edge

What is the value of the expression? (−3)3+6312

Answers

-3(3)+6312
-9+6312
6303

The answer is 6303. Hope this helps!

If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/ 8p^2q^2

Answers

Alright, so for dividing exponents, we simply subtract the denominator from the numerator. In this case, we have -5/8 on the side for the numbers, subtract 2 from 5 to get p³ and 2 from 4 to get q² as our final q result

I did this question already. The answer is 2

Find an equation for this inverse.

f(x) = 5x + 1

Please help! I have a test tomorrow & I have absolutely no idea on his to do this, thanks! :)

Answers

The easiest way to find the inverse of a function is to swap the x and y, meaning:

We have the function [tex]f(x)=5x+1[/tex]. Let's call our outputs "y", so we have [tex]y=5x+1[/tex]. To find the inverse, we're going to change the x and the y's position in the equation, so we have [tex]x=5y+1[/tex]. Then all we need to do is solve for y:
[tex]x=5y+1[/tex]
[tex]x-1=5y[/tex]
[tex]\frac{x}{5}-\frac{1}{5}=y[/tex]
[tex]f^{-1}(x)=y=\frac{x}{5}-\frac{1}{5}[/tex]
Don you mean find its inverse function??
If so, then you can determine if a function has an inverse by passing the "horizontal line test."
This function does because it has a slope not equal to zero. Inverses of horizontal lines have vertical lines in them, which are not by definition functions.
So now, simply replace "f(x)" with "y", then switch the x and y, and solve for y:
y = 5x + 1
x = 5y + 1
-1 -1
5y = x - 1
÷5 ÷5
y = (x-1)/5

One number is 3 more than 2 times the other, and their sum is 27. find the numbers. if x represents the smaller number, then the larger number is 3x + 2 2x + 3 2(x + 3)

Answers

2x + 3 = 27

Subtract 3 from both sides.

2x = 24

Divide 2 on both sides.

x = 12

Hope this helps!

The correct expression representing the larger number is [tex]\( 2x + 3 \)[/tex]. So option (b) is correct.

To solve this problem, let's represent the smaller number as x and the larger number as y. According to the given conditions:

1. y is 3 more than 2 times ( x ), so ( y = 2x + 3 ).

2. The sum of the two numbers is 27, so ( x + y = 27 ).

Now, let's substitute the value of ( y ) from the first equation into the second equation:

[tex]\[ x + (2x + 3) = 27 \][/tex]

Combine like terms:

[tex]\[ 3x + 3 = 27 \][/tex]

Subtract 3 from both sides:

[tex]\[ 3x = 27 - 3 \][/tex]

[tex]\[ 3x = 24 \][/tex]

Divide both sides by 3:

[tex]\[ x = \frac{24}{3} \][/tex]

[tex]\[ x = 8 \][/tex]

Now, we can find ( y ) by substituting the value of ( x ) into the equation for ( y ):

[tex]\[ y = 2(8) + 3 \][/tex]

[tex]\[ y = 16 + 3 \][/tex]

[tex]\[ y = 19 \][/tex]

So, the smaller number ( x ) is 8, and the larger number ( y ) is 19.

Now, let's check which expression represents the larger number:

1. [tex]\( 3x + 2 = 3(8) + 2 = 24 + 2 = 26 \)[/tex]

2. [tex]\( 2x + 3 = 2(8) + 3 = 16 + 3 = 19 \)[/tex] - This matches the value we found for the larger number.

3. [tex]\( 2(x + 3) = 2(8 + 3) = 2(11) = 22 \)[/tex]

So, the correct expression representing the larger number is [tex]\( 2x + 3 \)[/tex].

State 7m to 250cm as a ratio in its lowest terms

Answers

First you have to convert the numbers to the same units.  Either m to cm or cm to m.
To go from meters to centimeters you multiply the number by 100.
7*100=700cm
Now you have 700cm/250cm.  This needs simplified
I divided each number by 50 to get 14 and 5
14cm/5cm or 14cm:5cm

Final answer:

To express the ratio of 7 meters to 250 centimeters in its lowest terms, convert both to the same unit and simplify. 7 meters is 700 centimeters, leading to an initial ratio of 700:250, which simplifies to a final ratio of 14:5.

Explanation:

To state 7m to 250cm as a ratio in its lowest terms, we need to convert them to the same unit. One meter is equivalent to 100 centimeters, so 7 meters is the same as 700 centimeters.

Now we can write the ratio as 700 cm : 250 cm, which can be simplified by dividing both terms by 250 cm (the greatest common divisor of both numbers).

The simplified ratio is 700÷ 250 : 250÷ 250, which simplifies to 7 : 2.5. Since we want the ratio in its lowest terms with whole numbers, we can multiply both terms by 2 to eliminate the decimal, resulting in a final ratio of 14 : 5.

If John has 20 square ft of carpet, that’s enough to carpet a room that’s 6’ by 3’.

Question 2 options:
True
False

Answers

True

6 x 3 = 18 square feet. which is the surface area of the room.

so john will have 2 square feet to spare


Question 2(Multiple Choice Worth 15 points) (04.03 LC) Which of the following options results in a graph that shows exponential growth?
f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x

Answers

The answer is:  [C]:  " f(x) = 0.7(5)ˣ " .

_________________________________________________________

 Explanation:

_________________________________________________________

From all the answer choices given; 

Answer choice:  [C]:  "  f(x) = 0.7 (5)ˣ " ;  is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .

________________________________________________

How I solved this:  Further Explanation:

________________________________________________

A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.

Answer:

The answer is:  [C]:   f(x) = 0.7(5)ˣ

Step-by-step explanation:

An equation that contains only the operation of addition is called

Answers

Answer:  an "addition equation" .
__________________________________________

a line segment has endpoints (4,7) and (1,11).what is the length of the segment

Answers

1st use the distance formula 

x1 for 4,          y1 for 7,                 x2 for 1,               y2 for 11

2. put them together.  D= Square root (1-4)^2 + (11-7)^2
3.                                  D=  square root            (-3)^2 +(4)^2
4.                                  D=   Square root                  9+16
5.                                                             D= square root 25
6.                                  D= -5

True or False:

The domain of the composite function (f◦g)(x) is the same as the domain of g(x).

Answers

Final answer:

The statement is false. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). It includes only the values of x for which both g(x) and f(g(x)) are defined.

Explanation:

The statement is False. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). In a composite function (f◦g)(x), the domain includes only the values of x for which both g(x) and f(g(x)) are defined.

For example, if g(x) = sqrt(x) and f(x) = 1/x, the domain of g(x) would be all real numbers x ≥ 0, but the domain of the composite function (f◦g)(x) = 1/sqrt(x) would be x > 0, because 1/sqrt(x) isn't defined for x = 0.

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A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers, is called a discrete function.

True

False

Answers

it is true i hope that help

The statement is true; a function defined only for a set of discrete numbers, such as whole numbers, is indeed called a discrete function.

The statement that a function defined only for a set of numbers that can be listed, such as the set of whole numbers, is called a discrete function is true. A discrete function is, in fact, characterized by a domain that consists of distinct and separate elements. For example, the number of phone calls you receive on each day is a representation of discrete data because the counts can only be whole numbers, demonstrating the nature of a discrete function. This is opposed to continuous functions, which have a domain that may include all real numbers, allowing for an infinite number of values between any two different numbers.

Additionally, the concept of a function is that it relates each element of its domain to a single and unique value in its range. If the domain is composed of discrete elements like whole numbers, then the function that relates these elements to values is considered a discrete function.

Keep in mind that a characteristic function or membership function can also be considered a discrete function since it maps elements to specific values, often representing the presence (1) or absence (0) within a set.

The cost to a store for a box of cereal is $2.50. The store is selling the cereal for $3.50. What is the percent of the markup?

Answers

So if the store bought the cereal at $2.50 and sold it for $3.50 there is a $1 markup.  This in terms of percentages is 1/2.50 = 0.4, which is a 40% markup. 

Answer:

40%

Step-by-step explanation:

MATH HELP PLEASE!!!!

Answers

1. any number times2 then subtracted by the same number can't = 0 , so it is Null Set

2. 2^2 = 4 +12 = 16, 8*2 = 16, answer is 2


solve the equation using square roots x2-14=-10

Answers

take the root of both sides and solve 


x =2,-2

Answer:  The required solution is   x = -2,  2.

Step-by-step explanation:  We are given to solve the following quadratic equation by square root method :

[tex]x^2-14=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

In square root method, we take the square of the unknown variable on one side and the constant term on the other side. Then, we take the square roots on both sides.

From equation (i), we have

[tex]x^2-14=-10\\\\\Rightarrow x^2=-10+14\\\\\Rightarrow x^2=4\\\\\Rightarrow x=\pm\sqrt{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightrarow x=-2,2.[/tex]

Thus, the required solution is   x = -2,  2.

Please help with these questions thank you.

Answers

1. 2 and 7 are equal

2. angle 1 = 68 degrees

3. 1st answer


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