A gym offers its members an optional clean towel service for $16.40 each month.

The gym has 62 members that use the towel service.
At the end of the first week, 12 members that use the towel service had paid the fee.
The remaining members that use the towel service paid during the second week of the month.


How much money was collected during the second week of the month for the towel service?

Answer:

6x³ - 8x + 9

Step-by-step explanation:

Step 1: Write out expression

2x + 7 + 6x³ - 1 + 3 - 6x - 4x

Step 2: Combine like terms (x)

6x³ - 8x + 7 - 1 + 3

Step 3: Combine like terms (constants)

6x³ - 8x + 9

Answer:

6x^3-8x+9.

Step-by-step explanation:

Rearrange the number with its like terms.

i.e. 6x^3+2x-6x-4x+7-1+3.

which will give us 6x^3-8x+9.

Answer:

Median:20

mean:21

mode:15

Hello there! :)

To find the mean, we must add all the terms in the dataset and then divide by how many there are.

15+20+15+30+25=105

105÷5=21

So the mean is 21.

To find the median, we must find the number in the middle.

First, arrange the terms from least to greatest:

15, 15, 20, 25, 30

Now, we can see than 20 is the median.

To find the mode, we must find the number that is seen most often in the dataset.

15 is seen twice

20 is seen once

25 is seen once

30 is seen once

So 15 is the mode.

Hope this helps you!

~Just a felicitous girlie

#HaveAMarvellousDay

\(SilentNature :)\)

Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

No Solution

Step-by-step explanation:

Keep in mind that if the grouping isn't right, then my result will be wrong:

-1/2x-(1/2x+4)+12=17x-6(3x+5/6)

Let me just change the formatting for convenience, and then begin the calculations:

\(-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:\)

\(-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5\)

\(-2\cdot \frac{1}{2}x-4+12=17x-18x-5\)

\(-x-4+12=17x-18x-5\)

\(-x+8=17x-18x-5\)

\(-x+8=-x-5\)

\(-x=-x-13\)

\(0=-13\)

Result: No Solution

Explanation

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

For the given question, we have the parent function as

Since g(x) is obtained by shifting f(x) downwards by 2 units then

The graphs are shown below

Therefore, the value of g(x) is

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

= -12x+10

Step-by-step explanation:

Answer:

Its -12

Step-by-step explanation:

its -12 because 8/2-4x8= -20 and 2+6 is 8 then you add -20 by 8 then you have an Answer of -12

The solution for the subtraction of the given polynomial functions in descending powers of x is -2x² - 6x + 23.

In Mathematics, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would subtract the two (2) given polynomials as follows;

Expression = (3x² - 5x + 12) - (5x² + x - 11)

Expression = 3x² - 5x + 12 - 5x² - x + 11

Rearranging the given polynomials by combining like terms, we have;

Expression = 3x² - 5x² - 5x - x + 11 + 12

Expression = -2x² - 6x + 23

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(5n)2=(5n)(5n)=(5⋅5)(n⋅n)=25n⋅n.

Explanation: (5n)2=(5n)(5n)=(5⋅5)(n⋅n)=25n⋅n.

Answer:

Check your mathematics Text book...Then you can see heading True conditional statement..Check the example question then i am sure you will get the correct answer...

Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

The solution to a pair of linear equations will be at their common intersection.

Appears to me to be at (2, 4)

but we could check the math

y = x + 2

4 = 2 + 2

4 = 4  checks out on that line

y = -0.5x + 5

4 = -0.5(2) + 5

4 = -1 + 5

4 = 4  yup, checks out on that line too.

That will be the ONLY point that satisfies both equations.

Answer:

It is binomial:

p= 0.75 = 75%

1-p = 0.25 = 25%

N = 10

k=7

"seven successes in 10 trials"

(10 choose 7) (0.75)^7 ( 0.25)^3 =

(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =

(5*3*8) (0.75)^7 ( 0.25)^3

120 (0.75)^7 ( 0.25)^3  

= 0.25028228759765625

or just over 25%

Step-by-step explanation:

Answer:

P=-1

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

-5° + 40° = 35°

So the ansWer is 35°

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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Answer:

13(2+3)

Step-by-step explanation:

hope this is correct let me know if you need the steps!

Answer:

x + 13 = 34

Step-by-step explanation:

its true

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:11.5and 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The problem is:

3 x 5 = 15

15 + 4 = 19

The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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Answer:

di mo po alam yan

oh di po kayo makain tindi tagalog

Answer:

\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).

Cannot reduce it. Then it will make the numerator a decimal

Which cannot happen.

\(\frac{7}{44}\) is the answer then

Answer:

7/11 x 1/4 = 0.015

I hoped it helped you.

Answer:

\(n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2\)

Step-by-step explanation:

\(2n^2= 6n - 2\\\\2n^2-6n+2=0\\\\a=2\\\\b=-6\\\\c=2\)

\(n=(-b \pm \sqrt{b^2-4ac} )/2a\\\\n=(-(-6) \pm \sqrt{(-6)^2-4(2)(2)} )/2(2)\\\\n=(6 \pm \sqrt{36-16} )/4\\\\n=(6 \pm \sqrt{20} )/4\\\\n=(6 \pm 2\sqrt{5} )/4\\\\n=(3 \pm 1\sqrt{5} )/2\\\\n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2\)

The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer: 30 minutes

Step-by-step explanation:

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.