A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.

Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Using only the money she has, can Lin pay for a 3 hour event? Explain or show your reasoning.
If LaTeX: hh represents the number of hours, what does LaTeX: 22.50h+20022.50 h + 200 represent?
Write and solve an equation to determine the number of hours Lin can rent the community center.
Write and solve an inequality that represents this situation. Explain what the solution to the inequality means in this situation.

Answers

Answer 1

Lin can only rent the hall for 4 hours with $300.

Linear equation

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let c represent the cost of renting the hall for h hours.

From the question, we get:

c = 22.5h + 200

If Lin has $330, hence:

300 = 22.5h + 200

h = 4.4 hours

Therefore Lin can only rent the hall for 4 hours with $300.

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Related Questions

The number of boys is 3/5 of the number of girls. If there are 120 children all together, how many boys are there? PLEASE HELP ME!!!!!!!!

Answers

Answer:

72 boys

Step-by-step explanation:

120 * .60. That's how you solve it! Hope it helps!

Further explanation:

To get .60, you divide 3 by 5 which is .60

Then you multiply 120 times .60 and you'll get 72 which is 72 boys

Bonus: 120 - 72 = 48 girls!

Answer:

There are 45 boys.

Step-by-step explanation:

The best way to easily solvethis is by making equations, see below.

[tex]let \: b \: represent \: number \: of \: boys \\ let \: g \: represent \: number \: of \: girls[/tex]

[tex]b + g = 120 \\ b = \frac{3}{5} g[/tex]

Now we can subtract the secons equation from the first.

[tex]g = 120 - \frac{3}{5} g[/tex]

I'm also goong to multiply the equatipn by 5 to remove the fraction.

[tex]5g = - 3g + 600[/tex]

Now simplify

[tex]8g = 600 \\ g = 75[/tex]

Now we found out there are 75 girls. Now we insert this into our second equation to find how many boys there are.

[tex]b + 75 = 120 \\ b = 45[/tex]

Now we know there are 45 boys.

find m⦣1 in parallelogram ABCD.

Answers

Answer:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Step-by-step explanation:

Thats the alphabet so the P is the 16th letter so it's 16 thx pls do brainliest thanks so much

What is the next term of the arithmetic sequence? 1, 3, 5, 7, 9​

Answers

Answer:

In this case, adding 2 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) . This is the formula of an arithmetic sequence.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

assuming they keep continuing on as odd the next number would be 11

ANSWER THIS IS FOR EXTRA CREDIT

Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

obtain the derivative of y=2x^2​

Answers

Answer:

[tex]\displaystyle y' = 4x[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                          [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 2x^2[/tex]

Step 2: Differentiate

Derivative Property [Multiplied Constant]:                                                   [tex]\displaystyle y' = 2(x^2)'[/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = 4x[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Simplify completely 4m^3 over 3m^2n X 9n^2 over 30m^2n^2

Answers

Answer:

The answer is  2/405Xmn with an exponent of 5 at the end

sanders found 6/7 of a pie in the fridge. he eats 1/3 and gives 1/2 to sister. How much is left

Answers

Answer:

1/42

Step-by-step explanation:

consumed

1/2+1/3= 5/6

left

total- consumed

6/7-5/6= 1/42

PLS HELP I NEED IT
I WILL AWARD BRANLIEST

Answers

Every triangle has a total of 180 (when you add all three angles together), and the same would be for a straight angle, or two angles formed by am angle bisector (DC). 180-33=147, so the top part of C would be 147, which isn't necessarily needed, but that'd be how to solve that. A+B+C=180. A+2x+C=180. A would be 33 because AB and DC (segments) are parallel, and the segment bisector AE is a straight line, so 33+2x+C=180. 180-33=147/2=73.5, if I did that correctly.

Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)

Answers

A (-5, -9)

B (3, -1)

C (10, 10)

Solve the equation.
6W + 5y = 2z solve for y
Pls help!!!

Answers

Answer:

Y = 2/5z-6/5w

Step-by-step explanation:

6W + 5y = 2z

1. Subtract 6W from both sides

2. 5y = 2z-6W

3. Divide both sides by 5

4. y = 2/5z-6/5W

What is the slope of the line through (-10,1) and (0,-4) ?

Answers

Answer:

-5/10 or -1/2

Step-by-step explanation:


A clothing store used the sign shown below to advertise a discount on shirts,
DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt
Celia wants to buy three shirts, which were originally priced $56 each. The store will
discount the price of the third shirt and then apply a 7% tax to the total cost of all
three shirts. Including the tax, what will be the mean cost of each shirt? (Round your
answer to the nearest cent).
Including the tax, the mean cost of each shirt is $

Answers

Answer:

$49.93

Step-by-step explanation:

Original cost = $56

Cost of 3 shirts:

3*$56 = $168

Cost of 3 shirts with discount:

168 - 1/2*56 = 168 - 28 = $140

Add tax:

$140*1.07 = $149.8

Mean cost of each shirt:

$149.8/3 = $49.93

What is the slope of the linear function represented in
the table?

Answers

Answer: 1/7

Step-by-step explanation: The points create a posotive line so the answer has to be posotive. You then have to look at the rise over run. (0,1) is 1 unit higher than (-7,0) and the run is the ditance between the 2 x exvalues. 7. Rise/run = 1/7

Factorise

a² - 144
Please factorise this​

Answers

Answer:

a² ÷a = a

144 ÷ 2= 12

(a - 12) (a + 12)

Answer:

[tex]\bf\pink{(a-12)\times (a+12)}[/tex]

Step-by-step explanation:

Given Expression :-

[tex]\bf\blue{a^{2} - 144}[/tex]

Steps to factorise :-

[tex]\longrightarrow\:\:\bf\red{a^{2} - 144}[/tex]

Write the number in the exponential form with an exponent of 2

[tex]\longrightarrow\:\:\bf\orange{a^{2}-12^{2}}[/tex]

Using a²-b² = (a-b)(a+b), factor the expression.

[tex]\longrightarrow\:\:\bf\purple{(a-12)\times (a+12)}[/tex]

(Refer the attachment for graph representation)

Graph Details :-

[tex]\bigstar\:\:\bf{y=a^{2}-144}[/tex]

[tex]\rm{ Roots \:\:(-12,\:0)\:(12,\:0)}[/tex]

[tex]\rm{Domain \:\:a \in {\mathbb{R}}}[/tex]

[tex]\rm{Range \:\:y\in \bigg( -144,\:+\infty \bigg) }[/tex]

[tex]\rm{Minimum \:\: (0,\:-144)}[/tex]

[tex]\rm{Vertical\: Intercept\:\:(0,\:-144)}[/tex]

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for r2 was 31%.
Which of the following gives the best interpretation of this value?
31% of the variation in the number of absences is accounted for by the linear relationship with GPA.
69% of the variation in the number of absences is accounted for by the linear relationship with GPA.
31% of the variation in the GPA is accounted for by the linear relationship with number of absences.
56% of the variation in the GPA is accounted for by the linear relationship with number of absences.

Answers

Answer:

C: 31% of the variation in the GPA is accounted for by the linear relationship with number of absences.

Step-by-step explanation:

right on edge

The correct interpretation of the value of r² in this context is 31% of the variation in the GPA is accounted for by the linear relationship with the number of absences.

The interpretation of the value of r² in the context of the relationship between a student's number of absences (x) and their grade point average (GPA) (y).

First, what is r²? The coefficient of determination, denoted as r², is a statistical measure that represents the proportion of the variance (variation) in the dependent variable (GPA) .

That can be explained or predicted by the independent variable (number of absences) in a linear regression model.

Here, the value of r² is 31%. This means that 31% of the total variability in the GPA scores of the 15 randomly selected students can be explained by the linear relationship with the number of absences.

31% of the differences in GPAs among the students can be attributed to the differences in their number of absences.

The remaining percentage (100% - 31% = 69%) represents the unexplained or residual variation in the GPA scores.

This unexplained variation could be due to other factors not considered in the linear relationship, such as individual study habits, natural academic ability,

or other variables that were not part of the data analysis.

The interpretation is that 31% of the variation in the GPA scores can be accounted for by the linear relationship with the number of absences, while 69% of the variation remains unexplained by this relationship.

learn more about value here

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In the slope-intercept form, which variable
represents the slope/measure of change?

Answers

Slope= Mx in y=Mx+b jrbdhendj

PLEASE HELP THIS IS DUE AT 11!!!!!!!!!!! (-3v+1)+7-(6v+6)=-37
A 4
B -2
C 2
D 0

Answers

Answer:

v = 13/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

(-3v + 1) + 7 - (6v + 6) = -37

Step 2: Solve for v

Distribute negative:                    -3v + 1 + 7 - 6v - 6 = -37Combine like terms:                   -9v + 2 = -37Isolate v term:                             -9v = -39Isolate v:                                      v = 13/3

find the images of the following under thr reflection aboit x_axies a(2,_3)


Answers

Answer:

that not a full question I cant answer that.

Solve the system of equations by substitution.
X + y = 21
y = 6x

Answers

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18

0.26÷1.56 ...........................................................................................

Answers

Answer:the answer is 0.16 in the calculator its 0.166666666667 but just take the first 3 numbers at thats your answer.

Step-by-step explanation:

Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.

How many inches did her plant grow?

Answers

Answer:

The plant grew 9 more inches since last year.

Step-by-step explanation:

75% of 12 is 9 and the initial plant growth was 12 inches.

So, the plant grew 9 more inches since last year.

The plant is now 21 inches.

Answer:

9

Step-by-step explanation:

Divide 12 by 4 to get 25% = 3

25% x 3 = 75%

3 x 3 = 9

Hi, thanks to the person that is answering all my questions! the reason im doing this is my teacher said if I finish all my moby max she gonna replace all my low test grades

Answers

Answer:

não consigui entender

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Answers

dark blue is the answer

(3,1) is the answer

please help asap!! for finals!! semi easy question! will mark brainliest!! not multiple choice! tysm !!

Answers

Answer: 42 gallons

Step-by-step explanation:

1,260/180 = 7

Per 180 mile = 6 gallon

7x6=42

There are 72 female performers in a dance recital. The ratio of men to women is 2:9. How many men are in the dance recital?

Answers

Answer:

48

Step-by-step explanation:

72 ÷ 3 = 24

so you know that the men is 24 × 2 = 48

48:72 = 2:3

i looked it up and it says x=4 and theres 12 men but i dont think that helps im so sorry i couldnt find anything:(

Given the triangle above, solve for x.

Answers

Answer:

im not 100 percent sure but i think its x=71

Answer:

Step-by-step explanation:

The problem with this question would be resolved in a New York second if people learned what an exterior angle was. x is an exterior angle. Exterior angles have their own set of properties. One of them is that they are the sum of the two interior angles not supplementary to the given exterior angle.

In the diagram above the supplement to x has no marking. It is not an exterior angle. x is the exterior angle.

A triangle has Interior sums of 180o. Everyone here seems to understand that. What is not understood is the properties of x and the other two exterior angles. Exterior angles polygons of any number of sides have exterior angles that add up to 360 degrees. The 360 degrees does not indicate that they are not circles.

So the answer to this question is that x = 64 + 45 = 109. If you put anything else in, you will get it wrong.

This question checks to see if you understand the difference between an exterior angle and an interior angle. 71 is not the answer. It is not even the second best answer. It is just the third interior angle.

Help, ima super dumb

Answers

The ones to pick are A and C

What is the solution for the equation 4x – 10 = 2x?

Answers

Answer:

5x

Step-by-step explanation:

subtract 4x fromboth sides

4x-10=2x

-4x     -4x

divide both sides by -2

-10=-2x

-10/-2=-2x/-2

5=x

5x is the correct answer


Tell me if I’m correct or incorrect






A
A
A

Dd
D
D
S
S

E
We
We
We
E
E
S
S
S
S
S
S
S

Das

S
S
S
S
S
S
S
S
S

Which number is not in scientific notation?

3.2 ⋅ 10–2
15 ⋅ 1020
8 ⋅ 1013
1.42 ⋅ 10–9

Answers

Answer:

The correct answer should be B

Step-by-step explanation:

If this helped please mark brainliest!

question is in picture ​

Answers

Answer:

answer would be -6 :)

Step-by-step explanation:

Answer:

-6

To check answer multiply -5 x 6

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