A hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, “Since 80 × $200 = $16,000, I can stay within the budget.”Use the drop-down box to tell whether the manager’s reasoning is logical.
The hotel manager’s reasoning
Choose... is or is not
logical.

Answers

Answer 1

Answer:

No, it isn't logical.

Step-by-step explanation:

The manager is rounding the numbers down, so that will make the estimate go down.

Answer 2

Answer:

The hotel manager's reasoning is not logical.

Step-by-step explanation:

The hotel manager's reasoning is not logical because the total price is extremely overbudget. It would have been more realistic to round it up 210 and do 85 mattresses. They are exactly 1,556 dollars overbudget.


Related Questions

What is the range of the function y=e4x?
Oy < 0
Oy>
O y<4
Oy>4

Answers

9514 1404 393

Answer:

  y > 0

Step-by-step explanation:

The range of the function ...

  y = e^(4x)

is the same as the range of any exponential function:

  y > 0

The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.

The range of the given function is y > 0.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

y = e⁴ˣ

This is an exponential function.

The range of any exponential function is all the real numbers which are greater than 0.

So here also, the range is all the real numbers which are greater than 0.

So range is y > 0.

Hence the correct option is B.

Learn more about Exponential Functions here :

https://brainly.com/question/28596571

#SPJ7

Help???
Anyone?
Thank you

Answers

25% of $35 is 8.75, so the price would be $26.25. plus tax, the final price would be $27.825 or $27.83. if that doesn't work, try $27.82

(i was wrong before, this should be right now)

hope this helps!! :)

how do you identify rational expression?​

Answers

Answer:

Step-by-step explanation:

Determine the domain. The excluded values are those values for the variable that result in the expression having a denominator of 0.

Factor the numerator and denominator.

Find common factors for the numerator and denominator and simplify.

The lowest temperature ever recorded on Earth was
-89.2°C in Antarctica. The highest temperature ever
recorded was 56.7°C in California. What is the
difference between the highest and lowest recorded
temperatures?
PLEASE ANSWERRRRR

Answers

Answer:

Highest temperature=56.7°C

Lowest temperature= -89.2°C

Difference between the temperatures = 89.2+56.7=145.9

-5(−x−1)+4x−1=49 What is X?

Answers

Answer:

The solutions are x=4,x=−10. Explanation: The square root property involves taking the square root of both the terms on either side of the ...

1 answer

Step-by-step explanation:

Help!!! Please help me out

Answers

Answer:man I’m sry

Step-by-step explanation:

anyone smart enough to do this?

Answers

Answer:

8 tan 50 deg

Step-by-step explanation:

m<A = 50 deg

tan A = x/8

x = 8 tan 50 deg

Answer: C   8 tan 50 deg

can someone please help try the best that you can

Answers

the answer is C

because the only side that would work to make ASA is C, A would just make it SAA

ps i had geometry last year and these type of problems were easiest in my opinion so if you have any questions feel free to ask :)

Please hurry please

Answers

Answer:

a = -10

Step-by-step explanation:

solving inequation : a [tex]\leq[/tex] -6.5    so   a = -10   complies

Answer:

a=-10

Step-by-step explanation:

[tex]2a-7\leq -20\\2a\leq -13\\a\leq -6.5\\[/tex]

The only solution that fits this is a=-10


The perimeter of a triangle is 37 cm. The lengths of its sides are x cm, x + 3 cm, and x + 7 cm. What is the length, in cm, of the longest
side of the triangle?

Answers

Answer:

x + (x +3) + (x +7) = 37

3x = 27

x = 9

Longest side = x + 7 = 16 cm

Step-by-step explanation:

Answer:

16cm

Step-by-step explanation:

x + x + 3 + x + 7 = 37          (make all sides equal 37)

3x + 10 = 37                        (Add x's and coefficiants together)

    -10     -10                        (subtract 10 from each side)

3x = 27                               (divide 27 by 3)

x = 9                                    (answer)

x, x + 3, x + 7                      (finding longest length)

9, 9 + 3, 9 + 7                     (Substitute 9 for x)

9cm, 12cm, 16cm               (add each together)

16cm                                   (answer)

The temperature right now is -3°F, and the forecasted high temperature is 2 °F. How many degrees will it have to warm to reach 2°F? 6.NS.5​

Answers

Answer:

5

Step-by-step explanation:

Subtract the high temp from the low temp2 - ( -3) = 2 + 3 = 5

Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Answers

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2\:-3x\:-\:5\:=\:0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}[/tex]

separating the solutions

[tex]x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}[/tex]

solving

[tex]x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2}[/tex]

also solving

[tex]\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the corners of a 10-in. side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with a lid.

(a) Write a formula V(x) for the volume of the box.

(b) Find the domain of V for the problem situation.

(c) Use ANALYTICAL method (my teacher said don't graph) to find the maximum volume and the value of x that gives it.
SEE IMAGE!!!

Answers

Answer:

[tex]V(x) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6[/tex]

Step-by-step explanation:

Part (a)

The volume of a rectangular prism is found using the formula: V = lwh.

In order to write a formula in terms of the variable x, we need to write expressions for the length, width, and height of the rectangle.

We can say the length is the bottom of the base of the prism. To find this value, we can subtract x and x from 15 and divide this by 2, since there are two equal rectangles (base and lid).

Length: [tex]\frac{15-2x}{2} =7.5-x[/tex]

We can say the width is the side of the base of the prism. To find this value, we can subtract 2x from 10.

Width: [tex]10-2x[/tex]

The height of the prism can be x, which is the labeled length of the rectangle next to the base and lid.

Height: [tex]x[/tex]

Now we are able to write a formula for volume in terms of x.

[tex]V(x)=(7.5-x)(10-2x)(x)[/tex] [tex]V(x)=x(75-25x+2x^2)[/tex] [tex]V(x)=75x-25x^2+2x^3[/tex] Part (b)

The domain of the volume is where x > 0, 2x < 10, and 2x < 15.

This is because our expressions for length ([tex]\frac{15-2x}{2}[/tex]), width (10-2x), and height (x) cannot go below 0, because you cannot have a negative value for measurement - realistically.

Therefore, if we take into account all of these restrictions on x, the domain is where 0 < x < 5.

x cannot be > 5 since that would not satisfy 2x < 10.

The domain of V for this problem situation is D: (0, 5).

Part (c)

In order to find the maximum volume of the rectangular prism using our formula we derived, we can use the idea of optimization in calculus.

Start by taking the derivative of V(x).

[tex]V'(x)=75-50x+6x^2[/tex]

Set the derivative equal to 0. This gives us the critical point(s) in order to determine the extreme values of the function, aka where the max and min occur.

[tex]0=75-50x+6x^2[/tex] [tex]0=6x^2-50x+75[/tex]

Solve for x by using the quadratic formula.

[tex]x=\frac{-(-50)\pm\sqrt{(-50)^2-4(6)(75)} }{2(6)}[/tex] [tex]x=\frac{50\pm\sqrt{2500-1800}}{12}[/tex] [tex]x=\frac{50\pm\sqrt{700} }{12}[/tex]

Input this into your calculator and you should get:

[tex]x=6.37, \ 1.96[/tex]

We are going to use x = 1.96 since 6.37 is NOT in the domain of V(x).

[tex]\boxed{x=1.96}[/tex]

Now, since this value of x is going to give the maximum volume of this rectangular prism, or cardboard box, we can plug it back into the V(x) equation for volume to determine the maximum volume of the box.

[tex]V(1.96)=75(1.96)-25(1.96)^2+2(1.96)^3[/tex] [tex]V(1.96) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6[/tex]

The maximum volume of the cardboard box is 66.02 in³ and the value of x that gives this is 1.96.

Toni cleans the circular dining room table whose diameter is 6 feet. The label on the can of cleanser claims coverage for 80 square feet, but she noticed that the can is only half full. Will she have enough cleaner to clean the table? Use 3.14 for π. Remember, it takes two applications.

Answer yes or no.

Answers

Answer:

'no'

Step-by-step explanation:

The price of two dozen candy bars is $4.80. Bridget wants to buy 5 candy bars. what will she have to pay?

Answers

Answer:

24

Step-by-step explanation:

4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.

the answer is $1.00
because two dozen = 24
$4.80 divided by 24 is $0.20
$0.20 x 5 = $1.00

SOMEONE PLEASE HELP QUICK ITS TIMED

Answers

Answer:

true

Step-by-step explanation:

Answer:

true is the answer yyyt

are greater than 0 and located to the right of 0 on a number
line.
Integers
O Positive numbers
Negative Numbers
Opposites
Question 2
10 pts
Every whole number, fraction, and decimal has an opposite.
True
False

Answers

Answer:

1o

2true I helped it help

Find the volume of the cube or rectangular prism in cubic centimeters

Answers

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Cube is the same

Answer:V=h×b×w

Step-by-step explanation:

You have to mulitiply height,width, and the base together to get the volume.

the bill at a restaurant is 58.50, and john wants to leave a 15% tip.approximately how much money should she leave?
a. about $15.00
b. about $9.00
c. about $6.00
d. about $11.00

Answers

$58.50 x .15% = $8.775

Answer : b. about $9.00
B- about $9.00
Exact is $8.775

- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches

Answers

I would say 15 inches

If salmon cost $6.5 per pound, what is the total cost of 1.3 pounds of salmon)

Answers

Explanation:

Write out an equation for the total cost. The price per pound multiplied by the number of pounds will give you the total cost.

Total cost

=

Price per pound

Number of pounds

 

Rearrange this algebraically to solve for  

Price per pound

. To do this, divide both sides of the equation by  

Number of pounds

to get  

Price per pound

by itself.

Total cost

Number of pounds

=

Price per pound

Number of pounds

Number of pounds

This leaves us with a new form of the equation.

Price per pound

=

Total cost

Number of pounds

All we need to do now is substitute in the given information and solve.

Price per pound

=

Total cost

Number of pounds

=

38.87

2.6

=

$

14.9

Answer:

Step-by-step explanation:

1.3 * $6.5 = 8.45

If four out of ten people vote, then in a town with two hundred thousand people, how many will not vote?

Answers

Answer:50000

Step-by-step explanation:

(x^2-6) (x+6) + 25
plz someone answer correctly

Answers

Answer:

x^3+6x^2-6x-11

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

(x² - 6) (x + 6) + 25

x²(x + 6) + -6(x + 6) + 25

x³ + 6x² - 6x - 36 + 25

x³ + 6x² - 6x - 11

The time taken to build a house is inversely proportional to the number of builders.
If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?

Answers

Answer:

30 builders

Step-by-step explanation:

80÷5=16

6x5=30

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

Answers

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: [tex]A=P(1+\frac{r}{n})^{n*t}[/tex]

Putting values and finding P

[tex]A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687[/tex]

So, The investment required is: $5687

Pls help me I’m really dumb

Answers

1-$2, 2-$4, 3-$6, 7-$14

Which graph represents the function f(x) = |x + 3|?

Answers

Answer:

Answer is B

Step-by-step explanation:

If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.

A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.

What happens to the graph?

Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?

Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.

Answer:

answer is b

Step-by-step explanation:

because i got it right on E D G E

34.48 17.065 to the nearest tenth sorry just trying to get work done but yea if u help thx!!

Answers

Answer:

34.5

17.1

Step-by-step explanation:

Ill give 15 points Just answer it pleaseeeeeee

Answers

Answer:

Miling saves more because he saves 15 dollars a week while Daniel saves 10 dollars a week 10 dollars is less than 15 dollars

Help meee I don’t understand

Answers

The bottom half are where your answers are
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