The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?
What is the slope of the line that passes through the points (26, 7) and (-39, 12)

Answers

Answer 1

Answer:

It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...

Step-by-step explanation:


Related Questions

How do you solve these two problems please explain step by step

Answers

Answer:

1) [tex]x=15, y=41[/tex]

2) [tex]x=6, y=24[/tex]

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means [tex]5x-5=4x+10[/tex].

We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].

We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].

We know that the [tex](5x-5)+(6y-4)=180[/tex]  because they both lie on a straight line.

We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].

We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].

We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].

So, [tex]\boxed{x=15, y=41}[/tex] and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].

We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].

We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].

We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].

We combine like terms on the left side to get [tex]25x+30=180[/tex].

We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].

We divide both sides of the equation to get [tex]x=6[/tex].

So, [tex]\boxed{x=6, y=24}[/tex] and we're done!

1 1/2 divided by 1/4

Answers

Answer:

6

Step-by-step explanation:

1 1 /2    ÷  1/ 4

=    3/2  ÷  1/4

= 6

solve the inequality. -1/5y ≥ -2​

Answers

Answer:

y≤10

Step-by-step explanation:

Answer:

10 ≥ y

step by step explanation

What is the value of Measure of angle a + measure of angle b
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 124 degrees, a.

A. 34°

B. 56°

C. 90°

D. 180°

Answers

I’m pretty sure the answer is letter b or a

Answer:

D)

Step-by-step explanation:

Shelby invests £14000 in a savings account. The account pays 2.5% compound interest per year.
Work out the value of her investment after 2 years.​

Answers

Answer:

70000

Step-by-step explanation:

Answer:

£14708.75

Step-by-step explanation:

Always start with the original amount, in this case 14000.

Then, because it's an increase, add 2.5 to 100. You could also think of it as adding 2.5% to 100%, which is 102.5%. We then divide that by 100.

So far our calculation is 14000 x 1.025.

We now need to do this for the two days on. We can do this in 2 ways.

1. 14000 x 1.025 x 1.025

or.

2. 14000 x 1.025^2

They're both the same thing.

We then type that calculation into your calculator and you should get £14708.75

Hope that helped :)

Three consecutive integers add up to 120. What is the smallest integer?

(A) 38

(B) 39

(C) 40

(D) 41

(E) 42

Answers

Answer:

39

Step-by-step explanation:

I think the answer the is 38

Find the area of the regular pentagon

Answers

Answer:

here

A= 50

B = 62

Step-by-step explanation:

we know that

area of the regular Pentagon is 5/2*A*B

=5/2*50*62

=7750

the water level in a pool in terms of the number of hours elapsed, x, if the initial water level is 4 inches and the water level is rising at the rate of 1.5 inches every 15 minutes

Answers

Answer:

x=3.375

Step-by-step explanation:

4x+1.5=15

x = 12
2x^2(x-5)/10x

Answers

Answer:

84/5

Step-by-step explanation:

x = 12

2x^2(x-5)/10x

2*12^2(12-5)/10*12

2*12*7/10

84/5

A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?

Answers

Answer:

11820

Step-by-step explanation:

https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf

A picnic table requires 5 boards that are 6 feet long, 4 boards that are 3'3" long, and 2 boards that are 18 inches long. Find the total length of lumber required, using feet as your final unit.

Answers

Answer:

22

Step-by-step explanation:

5 boards = 6 feet

4 boards = 13 feet

2 boards=3 feet

and when you add them its 22.

Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm​

Answers

Answer:

Step-by-step explanation:

angle at the center

[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]

solve the inequality. 1/3b - 4 ≤ 4

if this posted twice i apologize. it's not showing that it posted ​

Answers

Answer:

B ≤ 24

Step-by-step explanation:

1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?

a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.

Answers

B. Mark bought 4 packs of gum for $1.5 each. 6 dollars in total. The 4 packs of gum is on the x axis (x, y) and the the total is 6 dollars.


5. Two more than a certain number is 15 less than the product of 7/8 and the number.
a. Equation:
b. Solution:

Answers

I think it’s a. I’m not sure

Quadrilateral MARK will be reflected across the z-axis and then rotated 90° clockwise about the origin to create quadrilateral M"A"R"K". If M is located at - (-3,7)
What will be the y-coordinate of M”?

Answers

The answer is 3

Step-by-step explanation:

I have the answer key pdf and, that is what the answer said, so I am pretty sure this is right.

PLEASE HELP!!!! Question: What are the coordinates of E after a rotation 90 degree counterclockwise? Give your answer in the format (#,#) .

Answers

Answer:

(-5,3) is your answer

Step-by-step explanation:

it just moves to a different quadrant

Answer Please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

I can't draw here, but I can describe :

an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).

this fact makes the triangle symmetrical.

and that means that 2 angles are also equal (the angles of the legs with the baseline).

so, knowing that one angle is 34 degrees can mean 2 things :

either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.

as we know the sum of all angles in a triangle is always 180 degrees.

so case 1 : 34 degrees is the angle between the legs

180 = 34 + 2×base-leg-angle

144 = 2×base-leg-angle

each base-leg-angle = 72 degrees

case 2 : 34 degrees is one of the base-leg-angles

180 = 2×34 + between-the-legs-angle

180 = 68 + between-the-legs-angle

between-the-legs-angle = 112 degrees

so, you need to draw one triangle for each case.

since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :

one triangle with 34, 72, 72 degrees

and one triangular with 34, 34, 112 degrees

Please help me ASAP!!!!!!!

Answers

hgjjvbhkml

Step-by-step explanation:

Given the function f(x) = 6x-x^2,then what is f(x) + 2 as a simplified polynomial

Answers

His cfstdhgxggxgggcxfvvcfgfdffggff

Which of the following notations correctly describe the end behavior of the
polynomial graphed below?

Answers

The answer of this question is C

b. You can determine how many times greater the range of one internet company is than the other by writing their ranges as a ratio that compares the range of Winnies wireless access devices to the range of Ivan’s wireless access devices.

Answers

Answer:

1.32 x 104: 2.64 x 103

1.32 x 10*4 1.32

------------ = ----- x 10*4-3 = 0.5 x 10 = 5

2.64 x 10*3 2.64

Step-by-step explanation:

could someone name some games that are unblocked that I can play on a school computer?
lol 50 pts to answer

Answers

Answer:

Agar.io

Buildroyale.io

Gats.io

Krunker.io

Narwhale.io

1v1.lol

1v1.fail

Or look up your favorite computer games but put (Gooogle Sites) at the end

Step-by-step explanation:

This chart shows the cost per pound of different fruits.


Estimate the cost of 3.2 pounds of apples.


The cost of 3.2 pounds of apples is about___.



1. ($1)(3 lb) = $3

2. ($2)(3 lb) = $6

3. ($2)(4 lb) = $8

4. ($3)(5 lb) = $15

please if you know the answer, answer this right away bc I'm being timed... T-T

Answers

Answer:

2. ($2)(3 lb) = $6 Round and then multiply

8x - 3x + 2 - x = ax + b
solve for b

Answers

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

In an unknown planet, a rock with a mass of 10 kg has a weight of 20 N. What is the gravitational acceleration of objects near the surface of the unknown planet?​

Answers

Answer:

The gravitational force between a mass and the Earth is the object’s weight. Mass is considered a measure of an object’s inertia, and its weight is the force exerted on the object in a gravitational field. On the surface of the Earth, the two forces are related by the acceleration due to gravity: Fg = mg. Kilograms and slugs are units of mass; newtons and pounds are units of weight.

You can use Newton’s law of gravitation to get the acceleration due to gravity, g, on the surface of the Earth just by knowing the gravitational constant G, the radius of the Earth, and the mass of the Earth. The force on an object of mass m1 near the surface of the Earth is

F = m1g

This force is provided by gravity between the object and the Earth, according to Newton’s gravity formula, and so you can write

Step-by-step explanation:

I need help with this

Answers

Answer:

21√10

Step-by-step explanation:

solve 4(a-3) = 22
solve 5(x -6) = 65

with explanation, please
giving 20 points

Answers

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Answer:

a = [tex]\frac{34}{4}[/tex]

x = 19

Step-by-step explanation:

First equation

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = [tex]\frac{34}{4}[/tex]

a = [tex]\frac{34}{4}[/tex]

Second equation

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!


Solve the equation for y.
y - 9 = 3x + 2

Answers

Answer:

put the value of x yourself .Then it will be easy for you.

Answer:

y=3x+11

Step-by-step explanation:

hope this helps!!!

what is the square root of pie?

Answers

Answer:

1.77

Step-by-step explanation:

The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.

Answer:

the square root of pie is 1.77245385091

or just 1.77

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