Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 505050 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 888 rooms and costs \$900$900dollar sign, 900. Let BBB represent the number of additional blocks that Joe reserves.

Answers

Answer 1

Answer:

$4500

Step-by-step explanation:

Strategy

Joe needs the rooms he's already reserved plus the additional rooms to be at least 505050. We can represent this with an inequality whose structure looks something like this:

\left( \text{rooms already reserved} \right) + \left( \text{additional rooms} \right) [\leq \text{or} \geq] \,50(rooms already reserved)+(additional rooms)[≤or≥]50left parenthesis, start text, r, o, o, m, s, space, a, l, r, e, a, d, y, space, r, e, s, e, r, v, e, d, end text, right parenthesis, plus, left parenthesis, start text, a, d, d, i, t, i, o, n, a, l, space, r, o, o, m, s, end text, right parenthesis, open bracket, is less than or equal to, start text, o, r, end text, is greater than or equal to, close bracket, 50

Then, we can solve the inequality for BBB to find how many additional blocks Joe needs to reserve.

Hint #22 / 4

1) Which inequality?

Joe has already reserved and paid for \blueD{16}16start color #11accd, 16, end color #11accd rooms.

Each blocks has 888 rooms, and BBB represents the number of additional blocks, so the number of additional rooms from these blocks is \greenD{8B}8Bstart color #1fab54, 8, B, end color #1fab54.

The number of rooms he's already reserved plus the additional rooms needs to be \maroonD{\text{greater than or equal to }} 50greater than or equal to 50start color #ca337c, start text, g, r, e, a, t, e, r, space, t, h, a, n, space, o, r, space, e, q, u, a, l, space, t, o, space, end text, end color #ca337c, 50 rooms.

\begin{aligned} \left( \blueD{\text{rooms already reserved}} \right) &+ \left( \greenD{\text{additional rooms}} \right) [\leq \text{or} \geq] \,50 \\\\ \blueD{16}&+\greenD{8B} \maroonD{\geq} 50 \end{aligned}

(rooms already reserved)

16

 

+(additional rooms)[≤or≥]50

+8B≥50

Hint #33 / 4

2) How many additional blocks does Joe need?

Let's solve our inequality for BBB:

16+8B

8B

B

 

≥50

≥34

≥4.25

 

 

Subtract 16

Divide by 8

Since he can't reserve partial blocks, Joe needs to reserve 555 additional blocks. And each block costs \$900$900dollar sign, 900, so buying 555 additional blocks costs 5 \cdot \$900=\$45005⋅$900=$45005, dot, dollar sign, 900, equals, dollar sign, 4500.

[Let's check our solution]

Hint #44 / 4

Answers

1) The inequality that describes this scenario is

16+8B \geq 5016+8B≥5016, plus, 8, B, is greater than or equal to, 50

2) Joe needs to spend \$4500$4500dollar sign, $4500 on additional rooms.


Related Questions

If f(x) = x2 + 2x – 10, what is f(-2)?

Answers

Answer:

-10

Step-by-step explanation:

simply plug -2 into the function and you get 4 + 2(-2)-10, which gets you 4+ (-4) -10= 4-4-10= -10

Answer: -18

Step-by-step explanation:

Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked 5/6 miles. Find their speed in miles per hour

Answers

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

[tex]Speed = \frac{Distance}{Time}[/tex]

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{4/5 miles}{1/3hour}[/tex]

[tex]Speed = \frac{4}{5} \times \frac{3}{1}[/tex]

[tex]Speed = \frac{12}{5}[/tex]

[tex]Speed = 2.4 miles/hour[/tex]

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{5/6miles}{5/12 hour}[/tex]

[tex]Speed = \frac{5}{6} \times \frac{12}{5}[/tex]

[tex]Speed = 2 miles/hour[/tex]

Hence, Kamlee's speed is 2 miles/hour

Solve for the variable in this equation 2x -5x = 21 answers are

0 -3
O 7
O Option 3
07

Answers

Answer:

x = -7

Step-by-step explanation:

First, we simplify:

-3x = 21

Then, we divide -3 on both sides:

x = -7

Hope this helps ^^


What is the correct product of 7 x 2.6?

Answers

Answer:

thy answer is 18.2

Step-by-step explanation:

The intersection of two lines is a(n)
Geometry

Answers

Answer:

In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.

Step-by-step explanation:

Answer:

A point

Step-by-step explanation:

In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces).

PLEASE HELP ME THIS IS DUE IN TWO HOURS! :(
The length of Rectangle 1 is 3.2 x 10^5 m. The width of Rectangle 1 is 1.6 x 10^4 m. What is the area of Rectangle 1? Write the answer in Scientific Notation.

Find the area of Rectangle 2 if its length is 1.28 x 10^7 m and its width is 8 x 10^3 m. Write the answer in Scientific Notation.

Answers

Answer:224 squared

Step-by-step explanation:

H

I need help on this -3x-x-3x3 =? It’s kinda confusing me and I’ve been on this question for awhile

Answers

do pemdas on this question
The simplified answer should be -13x

Is 555 a rational number

Answers

Answer:

yes

Step-by-step explanation:

555 is a positive integer and the integers are rational numbers

Step-by-step explanation:

yes

555 can write in fraction a/b

=

[tex] \frac{555}{1} [/tex]

Nancy bought 5 1/2 pounds of apples and oranges. If she bought 1 2/3 pounds of apples, which of the following equations could be used to find the amount of oranges she bought?

Answers

Answer:

1 2/3a+o=5 1/2

Step-by-step explanation:

1 2/3 pounds of apples plus the weight of oranges is equal to 5 1/2 pounds. The weight of the oranges can be found by subtracting the weight of apples from the total weight, which is 3 5/6 pounds.

The equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.

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 Nancy bought 5¹/₂ pounds of apples and oranges. If she bought 1²/₃ pounds of apples.

The equation will be written as,

1²/₃a+o=5¹/₂.

1²/₃ pounds of apples plus the weight of oranges is equal to 5¹/₂ pounds. The weight of the oranges can be found by subtracting the weight of the apples from the total weight, which is 3⁵/₆ pounds.

Therefore, the equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.

To know more about an expression follow

https://brainly.com/question/28311332

#SPJ3

Find the value of z, if it is known that 5+2z is 3 more than 3z−4

Answers

Answer: The required value of z is 6.

Step-by-step explanation: Given that 5+2z is 3 more than 3z-4.

We are to find the value of z.

According to the given information, the equation expressing the given statement mathematically can be written and solved as follows:

5+2z=(3z−4)+3

⇒5+2z=3z−1

⇒3z−2z=5+1

⇒z=6.

Thus, the required value of z is 6.

If a class of 120 students took the Business math exam and 3/5 passed the test, how many students failed the test?

Answers

Answer:

48

Step-by-step explanation:

120*(5/5-3/5)

120*(2/5)

24*2

48

what is the intersection of two distinct, non-parallel planes?

A. A line

B.A point

C.Another plane

D.There is no intersection

Answers

Answer:

C.Another plane

Step-by-step explanation:

3. Find the 100th term in the arithmetic sequence that has a common difference
of 4 and a first term of -11.

Answers

Answer:

385

Step-by-step explanation:

[tex]t_{n}=a+(n-1)d\\t_{100}=-11+(100-1)4\\t_{100}=-11+99 \times ~4\\=-11+396\\=385[/tex]

(-6) ÷ (-7) in fraction form​

Answers

Answer:

[tex]\frac{6}{7}[/tex]

Step-by-step explanation:

The division symbol is also the middle line in a fraction. Since both are negative it results in a positive fraction.

Hope that helped and have a great day!

FO = x + 10, FG = 3x + 10 find the length of the segment

Answers

Answer:

x= 0

FO=20

OG=20

FG=40

Step-by-step explanation:

FG=FO+OG

3x+10=x+10+x+10

3x+10=2x+20

20=x+10

10=x

plzzzzzzzzzzzzz answer them all ​

Answers

Answer:

1.) 4 and -4.

2.) 1.25 and -1.25

3.) 2 1/4 = (I dont have any absolute value signs on my keyboard but its

2 1/4  with absolute value signs.

what is the answer to 3x + 1 = x + 13

Answers

Answer:

x=6

Step-by-step explanation:

3x+1=x+13

2x=12

x=6

Which shows only a vertical translation from the shaded figure onto the unshaded figure?

Answers

Answer: B

Step-by-step explanation:

On a coordinate plane, a triangle is shifted up is the area that shows only a vertical translation from the shaded figure onto the unshaded figure (Image attached).

What is Vertical translation?

Vertical translation is known to be a term that connote  the up or down movement that takes place in a graph of a function.

It is also called the movement or the shifting of the graph amidst the y-axis. Note that in vertical translation, all the point on the graph often moves k units vertically.

See full question below

Which shows only a vertical translation from the shaded figure onto the unshaded figure?

On a coordinate plane, a triangle is shifted up.

On a coordinate plane, a triangle is shifted to the left.

On a coordinate plane, a triangle is enlarged to form another triangle.

On a coordinate plane, a triangle is shifted up and to the left.

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can someone please tell me how to solve this problem [tex]\frac{x-6}{6}[/tex] = -1

Answers

Answer:

x=0

Step-by-step explanation:

1) x-6/6= -1 is the equation

2) To get rid of the denominator, multiply both sides by 6 to get x-6= -6

3) Add 6 on both sides to get x=0

Linda can clean 72 rooms in 6 days.
How many rooms can Linda clean in 9 days?

Answers

Answer:

108

Step-by-step explanation:

72/ 6 = 12

12 x 9 = 108

MAX POINTS / ONLY COMPLETE ANSWER / WILL MARK BRAINLIEST / ASAP
Match the symbol notation with the picture it is describing.

Answers

Step-by-step explanation:

Hope it helps you in your learning process.

Y+
+-5 = -1
y =
What is y=what

Answers

Answer:

[tex]\large\boxed{\tt y = 4}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked for the value of y.}[/tex]

[tex]\textsf{To begin, we are given an equation. Note that our goal is to find y, so we should}[/tex]

[tex]\textsf{isolate y.}[/tex]

[tex]\large\underline{\textsf{To Isolate y;}}[/tex]

[tex]\textsf{Usually, isolation is segregation, or to keep alone. Basically, y should be the only}[/tex]

[tex]\textsf{term on the left side of the equation.}[/tex]

[tex]\large\underline{\textsf{To Solve;}}[/tex]

[tex]\textsf{We just need to isolate y, then we should have our value.}[/tex]

[tex]\large\underline{\textsf{Our Equation;}}[/tex]

[tex]\tt y+(-5)=-1[/tex]

[tex]\textsf{Note that when we add a negative, we are actually subtracting.}[/tex]

[tex]\tt y-5=-1[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Remove -5 on the left side by adding 5 to both sides of the equation.}[/tex]

[tex]\tt y-5+5=-1+5[/tex]

[tex]\underline{\textsf{Hence;}}[/tex]

[tex]\large\boxed{\tt y = 4}[/tex]

Is (6, 6) a solution to the equation y = x?

Answers

Hey there! I'm happy to help!

This is a solution because x has the same value as y. They are both 6.

I hope that this helps! Have a wonderful day! :D

Answer:

Yes.

Step-by-step explanation:

(6,..): this is the x-coordinate

(...,6): this is the y-coordinate.

6=6, so yes, this is a solution to y=x.

what are the steps to solving this using both elimination and substitution? 7x-2y=-53 5x-7y=-88 plz show steps ASAP

Answers

PLS GIVE ME BRAINLIEST

hope this helps and have a good day

2(x-11)+5-1
What is x

Answers

Answer:

9

Step-by-step explanation:

2(x-11) + 5-1

We can use the distributive property:

2x - 22 + 5 - 1

We can then simplify:

2x - 18

In this case, if 2x - 18 = 0, then 2x = 18 and x = 9.

Answer:

2x-18

Step-by-step explanation:

[tex]2(x-11)+5-1\\[/tex]

Expand

[tex]2\left(x-11\right):\quad 2x-22[/tex]

Slot it into the equation

[tex]=2x-22+5-1[/tex]

Add/subtract the numbers

[tex]-22+5-1=-18\\\\=2x-18[/tex]

When designing a play area the mother created a scale drawing in which the side that measures 6 feet was represented by 3 inches.What was the perimeter of the play area in the mothers scale drawing​

Answers

Answer:

12 inches

Step-by-step explanation:

if it is a square then you do 3×4 to get the perimeter

Convert the number to standard notation. 8.345 x 10 to the negative 6th power

Answers

It’s gonna be

8,345,000

what is two over twelve + four over nine

Answers

Answer:

2/3

Step-by-step explanation:

2/12+4/9

Find a common denominator

16/72+ 32/72

48/72

Simplify

=2/3

Hope this helps

Write - 1.64 as a mixed number in simplest form.

Answers

Answer:

1  16 /25

Step-by-step explanation:

that is a mixed number, do you want it as a fraction?
-41/25

Charlotte owns two entertainment websites. Here are some details about those websites for one entire month: Website A Website B Number of writers 5 111111 Number of posts posted 110110110 200200200 Average number of words of post 100100100 170170170 Average likes per post 350035003500 350035003500 Average comments per post 500500500 450450450 Number of new subscribers 900090009000 20{,}00020,00020, comma, 000 Revenue \$30{,}000$30,000dollar sign, 30, comma, 000 \$75{,}000$75,000dollar sign, 75, comma, 000 Expenses \$20{,}000$20,000dollar sign, 20, comma, 000 \$47{,}000$47,000dollar sign, 47, comma, 000 Profit (Revenue-−minusExpenses) \$10{,}000$10,000dollar sign, 10, comma, 000 \$28{,}000$28,000dollar sign, 28, comma, 000 Charlotte wants to know which website generates more profit per resource invested. 1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers:

Answers

Answer:

I'm pretty sure its choice c and d i'm sorry if its not i did all the math, although i might have gotten it wrong, just double check.

Step-by-step explanation:

Answer:

1)

b) Profit divided by number of writers

c) Profit divided by expenses

2)

b) Yes. According to both definitions, website B generates more profit per resource invested.

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