To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $8.30 per hour. The history club wants to spend at most $99.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality fort.

Answers

Answer 1

Answer:

7hours max

Step-by-step explanation:

let the total charges be y

and the number of hours be t

the total cost can be modelled linearly as

y=mt+c

given that

c=$41

m=$8.30

Therefore for y=99.10, we want to solve for t

99.1=8.3t+41

solve for t

99.1-41=8.3t

58.1=8.3t

t=58.1/8.3

t=7

therefore the time is 7hours max


Related Questions

Use the slope formula to find the slope between the given two points?
(2, 1) and (8,9)

Answers

Answer:

4/3

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

(9-1)/(8-2)

4/3

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2,1) (8,9)

The formula that you would use is:

[tex]\frac{y_{2}-{y_1} }{x_2-x_1}[/tex]

So, 2 could be [tex]x_1[/tex] and 1 could be [tex]y_2[/tex]

and 8 could be [tex]x_2[/tex] and 9 could be [tex]y_2[/tex]

When we insert these numbers into the equation, we get:

[tex]\frac{9-1}{8-2}[/tex]

When we solve that we get:

[tex]\frac{8}{6}[/tex]

Now we simplify it by dividing both the numerator and denominator by 2, which would give us:

[tex]\frac{4}{3}[/tex]

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5

Answers

9514 1404 393

Answer:

  3 1/2

Step-by-step explanation:

The amount is reduced by 4/9 cup each day for 5 days, so the amount remaining is ...

  (5 1/2) - 5(4/9) = 11/2 -20/9 = (99 -40)/18 = 59/18 = 3 5/18 ≈ 3.28 . . . cups

This value is (slightly) closer to 3.5 than to 3.0.

The best estimate of the remaining amount is 3 1/2 cups.

Answer:

three

Step-by-step explanation:

The upper-left coordinates on a rectangle are (-1,4) and the upper-right coordinates are (3,4).The rectangle has a perimeter of 24 units Draw the answer on the coordinate planes

Answers

Answer:

The answer is below

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

24 = 2(length + breadth)

length + breadth = 12

The distance between the points of the rectangle (-1, 4) and (3,4) is given as:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}\\ \\Distance=\sqrt{(3-(-1))^2+(4-4)^2}=4\ units[/tex]

The breadth = 4 units

Length + 4 = 12

Length = 8 units

The lower left x coordinate would be the same as the upper left x coordinate, let us assume that the lower left y coordinate = a

Hence lower left coordinate = (-1, -a). The distance between (-1,4) and (-1, -a) is the length = 6 units

[tex]6=\sqrt{(-1-(-1))^2+(-a-4)^2}\\ \\a=-10[/tex]

lower left coordinate = (-1, 10)

The lower right x coordinate would be the same as the upper right x coordinate, let us assume that the lower right y coordinate = -b

Hence lower right coordinate = (3, -b). The distance between (3, 4) and (3, -b) is the length = 6 units

[tex]6=\sqrt{(3-3)^2+(-b-4)^2}\\ \\b=-10[/tex]

lower right coordinate = (3, -10)

can you tell me the answer please, i’d appreciate it sm. thanks

Answers

Answer:

Yeah... I think u got it right... sorry if I’m wrong

Step-by-step explanation:

Answer: A) 5. You are correct.

===========================================================

Explanation:

The length of segment MN is the same as the distance from M to N

Count out the spaces from M to N to see that there are 5 spaces, so that's why choice A is the answer.

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

Or you can break it down like this:

There are 3 spaces from -3 to 0There are 2 spaces from 0 to 2

So we have 3+2 = 5 spaces total between M and N.

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

A more formal approach:

Let M = -3 and N = 2

Now subtract and apply absolute value.

|M - N| = |-3-2| = |-5| = 5

or

|N - M| = |2-(-3)| = |2+3| = |5| = 5

Either way, we get a distance of 5 units.

Absolute value is used to ensure that the result is never negative.

A tutoring job pays $222 for ten hours of work. If a tutor were to work for a total of thirty-five hours that week, how much will they make?​

Answers

Answer:

$777

Step-by-step explanation:

35/10= 3.5

3.5x222= $777

What is the slope of the line that passes through the points (4, 6) and (-16, -18)?
Write your answer in simplest form.

Answers

Answer:

7x3=45 so substitute

Step-by-step explanation:

Ronald brother told Mj to get the app BRAINLY It helps you with anything But Mj do not have nothing to use Mj ask his mom if she would by him a phone she said yes the phone cost $230 dollars but it didn't come with a charger so they bought a charger it cost $15 dollars how much does the charger cost

Answers

Answer:

If you mean in total if all of it then 245

The product of n and 5 is equal to 48

Answers

Answer:

9.6

Step-by-step explanation:

48/5 is 9.6 therefore n=9.6

Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent the independent variable.
A concert ticket costs $60.

Answers

Answer:

independent: number of tickets purchased;

dependent: total cost;

rule: f(x) = 60x

Step-by-step explanation:

The independent variable is the input of a function (the variable whose value determines the value of the output, or dependent variable). In this case, the independent variable is the number of tickets purchased.

The dependent variable is the output of a function (the variable whose value depends on the value of the input, or independent variable). In this case, the dependent variable is the total cost of all tickets purchased.

The total cost of all tickets purchased is equal to $60 times the number of tickets x. Therefore, a function rule for the total cost of all tickets purchased is f(x) = 60x.

PLEASE HELP Marcos needs to save $2,000 for college next year. If he has 12 months before he needs the money, how much will he need to save every month? Round to the nearest dollar.​

Answers

Answer:

167

Step-by-step explanation:

2,000/12=166.66=167

Answer:

2000 divided by 12= 166.67

Step-by-step explanation:

he would need $166.67 every month so they can reach their goal.

Am i right? And why?

Answers

Answer:

Yes I think your right but I can't back up my response. I mean it looks right to me.

Step-by-step explanation:

Srry. HOPE THIS HELPS!! :)

Kayla was driving from Philadelphia to Florida, trying to remain at a constant speed as much as possible after she reached the highway. She travelled 139.5 miles after an hour and a half and then 395 miles after 5 hours. Which represents Kayla's speed (rate of change)?

Answers

Answer:

Step-by-step explanation:

Speed = change in distance/change in time

S= Δd/Δt

let d1 = 139.5miles

d2 = 395miles

t1 = 1.5 hrs

t2 = 5hrs

Δd = d2-d1

Δd  = 395-139.5

Δd  = 255.5miles

Δt = 5-1.5

Δt = 3.5hrs

Speed = 255.5/3.5

Speed = 73miles/hr

Hence Kayla's speed is 73miles/hour

please helpppppppppp me please

Answers

Answer:

WITH WHATttttt

Step-by-step explanation:

Yessss what you need help with

Rotation 180° about the origin U'(0, 0), T'(-5, 0), S'(-3, 3)B) U'(0, 0), T'(0, -5), S'(-3, -3)C) T'(4, 5), S'(1, 3), U'(4, 0)D) U'(0, -5), T'(0, 0), S'(3, -2)

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but i would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.

Rotation is a type of transformation that turns an object about a fixed point. Rotation preserves the shape and size of the image. The rotation of point X(x, y) 180° about the origin gives a new point X'(-x, -y) i.e. both the x and y coordinate is negated.

Pls help me I’m stuck

Answers

Answer:

Step-by-step explanation: your picture is not there

PLEASE HELP!! i will mark as brainliest

Answers

Answer:

13

Step-by-step explanation:

I just added the numbers together.

5+-5 is 0 because they are the same numbers but with opposite signs.

Next 12+-2 is 10 because it is like 12-2.

Next adding the last 3 to 10 we get 13.

The final amount of yards they have are 13.

I hope this helps:)

HELP MEEEEEE!!!!!!!!!!!???????

Answers

Answer:

7

Step-by-step explanation:

Multiply 1/8 by 56.

You can put a 1 under the 56 because the56/1 and 56 are identical.

1/8 * 56/1

Multiply numerators (1 & 56) and the denominators (8 & 1)

56/8

Simplify by dividing

7

Is 0.135 a rational number

Answers

Answer:

0.135 is an irrational number because the decimal is not repeating

Step-by-step explanation:

please help. are they Parallel, perpendicular or neither

Answers

Answer:

Neither

Step-by-step explanation:

Parallel lines don't intersect

Answer:

Neither parallel or perpendicular.

Step-by-step explanation:

For AB A(-1,-4) and B(2, 11)

x1,y1 x2,y2

Gradient = (y2 - y1)/(x2 - x1)

= (11 - (-4))/(2 - (-1))

= 15/3 = 5.

For CD C(1 , 1) and D(4 , 10)

x1, y1 x2, y2

Gradient = (y2 - y1)/(x2 - x1)

= (10 - 1)/(4 - 1)

= 9/3 = 3

from the above they are neither parallel or perpendicular.

The Empire State Building weights about 7.3 x 10^8 pounds The one World Trade Center building weights abut 88,200,000 pounds what is the total weight in pounds of these two buildings? Expressing your answer in scientific notation in the from a x 10 what are the vaules of a and b

Answers

Answer:

8.1822x10^8

Step-by-step explanation:

13x-12x+45•12=14-12x-10•5

Answers

Answer:

[tex]x=\frac{576}{11}[/tex]

Step-by-step explanation:

13x - 12x + 45 * 12 = 14 - 12x - 10.5

Multiply first

13x - 12x + 540 = 14 - 12x - 50

Combine like terms

x + 540 = 12x - 36

Subtract x from both sides

540 = 11x - 36

Add -36 to both sides

576 = 11x

Divide both sides by 11

[tex]x=\frac{576}{11}[/tex]

Hope this helps as pls do mark me brainliest if you can:)

The two triangles are similar. Find the missing side length.
9.6
60
12
16

Answers

Answer: x = 9.6

Step-by-step explanation: 24/x * 20/8 (cross multiply)

20x = 192 (now divide)

x = 9.6

Rich earns $25 every weekend babysitting. He wants to buy a new game system that costs $499. He already has $220 saved. What is the minimum number of weekends he will need to babysit in order to have at least the $499 he needs?

ASAP I only have 10 minutes

Answers

Answer:

12 weekends

Step-by-step explanation:

Round up to $500 to make it easier, he needs $500. with $220 Saved he needs $280 more ($500-$220). $280 / $25 per weekend is 11.2 weekends needed. He would need to work 12 weekends to get to his goal

Answer:

i trieddddddddddddd

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?

Answers

Answer: On the average, your car was moving with a speed of 25 miles per hour.

Step-by-step explanation:

Step-by-step explanation:

MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

PLZ NEED HELP brainliast if right

Answers

Answer:

WHAT DO YOU NEED HELP ON, I CANNOT SEE THE IMAGE

SORRY

Step-by-step explanation:

Answer:

umm what's the question

Step-by-step explanation:

help me plzzzzzzzzzzzzzzz

Answers

Answer:

7) √2 , π , 4.5. √2 ≈ 1.41 < π ≈ 3.14 < 4.5 = 4.5.

9) √3 , π , 7. √3 ≈ 1.73 < π ≈ 3.14 < 7 = 7.

10) -4 , 1.5, √8. -4 = -4 < 1.5 = 1.5 < √8 ≈ 2.83.

11) -5.5 , 3/2, √6. -5.5 = -5.5 < 3/2 = 1.5 < √6 ≈ 2.45.

12) 5/2 , 2.6 , 1 + √3 , √8. 5/2 = 2.5 < 2.6 = 2.6 < 1 + √3 ≈ 2.73 < √8 ≈ 2.83

12) People in order: Bryon, Justin, Rosa, Allie.

What is 3 +1 giving BRANIEST

Answers

Answer: 4

Step-by-step explanation:

1. Add 3 and 1

3+1 = 4

Your answer is 4

Answer:

I think it is 5 wait no

Step-by-step explanation:

PLS HELP! I WILL REWARD AND GOVE PUT BRAINLIEST!!


The choices for, “Which operation must be performed to isolate the variable?” Are

A. Add 7.6
B. Add 18.2
C. Subtract 7.6
D. Multiply 7.6


The choices for, “the solution to the equation is” are

A. X=7.6
B. X=10.6
C. X=18.2
D. X=25.8

Answers

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

One end of a spring is attached to a ceiling. When an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m . What is m when l is 73?


please helpppp!​

Answers

m = 14.4

73 = 24 + 3.4m
-24 -24

49 = 3.4m
divide by 3.4 on both sides

14.4 = m

HOPE THIS HELPS!

The value of the mass when I is 73 will be m = 14.4.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m.

The mass will be calculated as below,

73 = 24 + 3.4m

49 = 3.4m

Divide by 3.4 into both sides

14.4 = m

To know more about an expression follow

https://brainly.com/question/20381624

#SPJ2

You can get 672 calories from eating 8 apples. How many calories can you get from eating 1 apple?

Answers

Step-by-step explanation:

672 divides by 8

=8.375

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