Annie is planning a business meeting for her company. She has a budget of $1325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend lunch for each person? A. 26x + 270 ≥ 1,325 B. 26x + 270 ≤ 1,325 C. 270x + 26 ≥ 1,325 D.270x + 26 ≤ 1,325

Answers

Answer 1
The correct answer is B. 26x + 270 ≤ 1,325
Answer 2

Answer: B. [tex]26x+270\leq1,325[/tex]

Step-by-step explanation:

Let 'x' denote the amount of money Annie can spend lunch for each person.

Given: The cost of renting the meeting room = $270

The number of people attend the meeting = 26

Then, the expression for total amount spent on lunch will be :-

[tex]\text{Total amount on lunch}=26x[/tex]

The expression for total spent by Annie will be:-

[tex]26x+270[/tex]

Since, the budget  for renting a meeting room at a local hotel and providing lunch= $1325

Thus, the inequality shows how to find the amount, x, Annie can spend lunch for each person will be :-

[tex]26x+270\leq1,325[/tex]


Related Questions

Find the cosine and the tangent of 60 degrees

Answers

We are required to find the cosine  and tangent of 60°. Here we use an equilateral triangle whose side is 2 units, the height of the triangle by Pythagorean theorem will be √3 units, the base of the right angle triangle formed by bisection of the base will be 1 unit.
thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3

cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2

Answer:

D!!!

Step-by-step explanation:

Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.

Answers

The negative sign means that this is reflected about the y-axis (this is not in the choices so we can ignore this).
The factor of 0.4 means it is compressed (since the factor is < 1).
Since the term inside the radical is x - 2, this means that we translate the graph 2 units to the right.

So the only correct descriptions are: compressed by a factor of 0.4, and translated 2 units to the right.

Answer: a,c,d

Step-by-step explanation: got it right on edge :)

Find an equation of the tangent line to the tangent line to the given curve at the specified point y= ln(x^2-8x+1), (8,0)

Answers

Try this option (note, that this is an equation of the tangent line to the given curve at point A(9;0)).
Details are provided on the attached picture.

What is the volume of this rectangular prism? Rectangular prism with height labeled 3 centimeters, width labeled 5 centimeters, and length labeled 6 centimeters. cm³

Answers

The answer is (90 cm) hope it helps and have a good one!
You ca find the volume of a rectangular prism by multiply the width, length, and height. 

so 5x6x3=90

So theolume is 90.

What is the volume of the pyramid?

Answers

volume of pyramid = 1/3 (B) (h)
B is the area of base length.

V=1/3(121)(12)
V=484 cm^2
the base of the "square" pyramid is an 11x11 square, and its height is 12, therefore

[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\quad \begin{cases} B=\textit{area of its base}\\ h=height\\ ---------\\ B=\stackrel{11\times 11}{121}\\ h=12 \end{cases}\implies V=\cfrac{(121)(12)}{3}[/tex]

CAN I GET THE RIGHT ANSWER TO THIS??

Answers

That would be B. XY
A secant is a line that has two different intersecting points with a circle

Ratio Question solving with algebra need help must finish soon

Answers

Consider this option.
Note, that the answers are marked by green colour.

10 POINTS

Solve the combined inequality:

6 -2x < 12 or 7 + 2x < -11

Answers

The first thing we must do in this case is to solve both inequations.
 We have then:
 Inequality 1:
 6 -2x <12
 6-12 <2x
 -6 <2x
 -6/2 <x
 -3 <x
 Inequality 2:
 7 + 2x <-11
 2x <-11-7
 2x <-18
 x <-18/2
 x <-9
 Answer:
 
(-inf, -9) U (-3, inf)

A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Answer:

The  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.

i.e

A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]

In mixed number

[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]

In decimal form

[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]

Therefore the  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]

Step-by-step explanation:

Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]

[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]

width = 5  inches

height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]

Now, the volume of the prism will be :-

[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]

Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]

Suppose 6000 is placed in an account that pays 3% interest compounded each year. Assumed that no withdrawals are made from the account .

Find the amount at the end of one year ?

Find the amount in the account at the end of two year .

Answers

Find the amount at the end of one year? $6180
Find the amount in the account at the end of two year. $6365.4

Final answer:

With a principal amount of $6000 and a 3% annual interest rate compounded yearly, the account balance at the end of one year will be $6180, and at the end of two years, it will be $6365.40.

Explanation:

To calculate the amount of money in an account with compounded interest, we can use the formula [tex]A = P(1 + r/n)^{(nt)[/tex], where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.

For the student's case, with $6000 placed in an account at 3% interest compounded each year with no withdrawals:

To find the amount at the end of one year, we calculate it as [tex]A = 6000(1 + 0.03/1)^{(1\times 1)[/tex], which equals $6000 × 1.03 = $6180.To find the amount at the end of two years, [tex]A = 6000(1 + 0.03/1)^{(1\times 2)[/tex], giving us $6000 × 1.03² = $6365.40.

As such, after one year, the student would have $6180, and after two years, the balance would be $6365.40.

What is equation for the line or curve of the best fit for the following data?

Answers

Correct Answer:
Option 2. y = 4.98x - 0.3

The given points can be plotted on a graph. The points mainly lie in a straight line so a straight line will be the best fit for the given set of ordered pairs. The equation of line that best fit can be found using any tool like Excel, Statcrunch etc. Using excel the points have been plotted and equation of best fit is found. The image attached below show the graph and equation

Find the median to the base of an isosceles triangle if the length of its base is 15 in and its area is 75 in2

Answers

see the attached figure to understand the problem

we know that
the median to the base is the segment BD
the base AC is 15 in
Area=75 in²
Area=AC*BD/2---------> BD=(Area*2)/AC---------> BD=(75*2)/15
BD=10 in

the answer is BD=10 in

Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger that Pablo. Pablo's age is 1/3 Shaniqua age. How old is Terell if shaniqua is 36 years old?

Answers

Terell is 8. 36 / 3 = 12. 12-1=11. 11-3=8.

Ronald Fast Food randomly selected 20\%20%20, percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 444 locations.
Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?

Answers

The answer is 20.

Hope this helped☺☺

if the input is 3 and the output is 13 what is the function

Answers

Based on the given information, the function is
  f(3) = 13

A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?

Answers

$87.50 because there are 190 minutes over, each minute being .25 cents. which is $47.50. added to the original charge of $40 for 600 minutes

We have to find the bill for this month.

Since, the student talked on phone for 790 minutes.

600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.

So, 790 - 600 =190 minutes.

So, 190 minutes are minutes at $0.25/minute.

So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]

= 47.50

So, Total bill for 790 minutes =

Cost for 600 minutes + Cost for 190 minutes

= $40 + $47.50

= $87.50

So, the bill for the month is $87.50

Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%

Answers

Given that Johan takes-out a 20 year mortgage at 4% to buy a house. If he looks at investing in 20-year, fixed rate Treasuries, the most likely closest to the coupons of the treasuries is 3.8%, this is because any other rates apart from this will lead to an arbitrage opportunity. This means that if the percentage of the coupons are high, Johan may invest his proceeds from mortgage to treasuries and earn risk free interest. The right rate is 3.9%

Answer:

3.9%

Step-by-step explanation:

Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.

Find the value of x so that this quadrilateral is a parrallelogram

Answers

Hey there!

Since this is a parallelogram, the 2 angles with the equations are congruent. Make them equal each other. 2x+60=4x-12. You get 72=2x. Divide by 2 on each side to get x=36. The answer is x=36.

I hope this helps!

solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and
x + 7y = 8

Answers

[tex] \left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right. [/tex]

To solve this system by substitution, first isolate x in the second equation.

[tex]x+7y=8[/tex]
[tex]x+7y-7y=8-7y[/tex]
[tex]x=8-7y[/tex]

Now, plug this expression ([tex]8-7y[/tex]) for x in the top equation to solve for y.

[tex] \frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14} [/tex]
[tex]3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex]72-63y+8y=17[/tex]
[tex]72-55y=17[/tex]
[tex]-55y=17-72[/tex]
[tex]-55y=-55[/tex]
[tex]y=1[/tex]

Now that you have y, plug it into the second equation and solve for x.

[tex]x+7y=8[/tex]
[tex]x+7(1)=8[/tex]
[tex]x+7=8[/tex]
[tex]x=1[/tex]

Last step is to plug your x- and y-values in to both equations to check your work.

[tex] \frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24} [/tex]

[tex] \frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24} [/tex]

[tex] \frac{9}{24} + \frac{8}{24} = \frac{17}{24} [/tex]  <--True

[tex]1+7(1)=8[/tex]
[tex]1+7=8[/tex]   <--True

Answer:
[tex]x=1 \\ y=1[/tex]

Answer:

1,1

Step-by-step explanation:

Correct:)

Jeremy 7 years older than Esmeralda in 3 years the sum of their ages will be 57 how old is Jeremy now

Answers

Right now, Jeremy is 29 years old. Esmeralda is currently 22. 
First, define your variables.
J = Jeremy's age
E = Esmeralda's age

Next, create your equations.
J = E + 7
J + 3 + E + 3 = 57 which simplifies to J + E = 51

Now because J is defined in terms of E, substitute E as J into the second equation. E + 7 + E = 51
Next, 2E = 44
E = 22

Now, substitute the value of E into the original equation to find J. J = E + 7. J = 22 + 7. J = 29

Next check by substituting into the second equation. J + E = 51. 22 + 29 = 51.

Jeremy's age: 29
Esmeralda's: 22

In the diagram, what is the value of x?

Answers

The answer is option C (98°)

x is a supplementary angle to the angle labelled as measuring 82° (that is, the sum of x and 82° is 180°) because together, they make a straight line.

Mathematically,
x + 82° = 180°
x = 180° - 82°
x = 98°

What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (0, 0) B. (2, 1) C. (4, 2) D. (8, 4)

Answers

Answer:

Option D (8,4)

Step-by-step explanation:

we know that

The dilation centered at the origin  (0,0) is very simple. To find out the image point multiply the scale factor to the x  and  y-coordinates of the pre-image point.

so

(2*4,2*2) -----> (8,4)

Answer:

D.  (8, 4) IS THE ANSWER

Colleen has a bank account balance of $16.43. Toby has a bank account balance of –$10.21. Yosef has a bank account balance of $8.98. Which of the following statements are true?
Select all that apply.
A.
Colleen has the most money in her bank account.
B.
Toby has more money than Colleen.
C.
Yosef has less money than Toby.
D.
Toby's balance is further from zero dollars than Yosef's balance.
E.
Colleen's balance is further from zero dollars than Toby's balance.

Answers

The answers are A and E I believe.

Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Colleen has a bank account balance of $16.43.

Toby has a bank account balance of –$10.21.

Yosef has a bank account balance of $8.98.

Colleen has the most money in her bank account is true because $16.43 is greater than $8.98.

So the statement in A is true.

Colleen's balance is further from zero dollars than Toby's balance is also true.

Toby has more money than Colleen is false.

Yosef has less money than Toby is uncertain.

Hence, Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

What is the correct expression of 34,000 x 96,000 using scientific notation?

Answers

3.264 x 109 i got taught this in 5th grade

For this case we have the following product:

[tex] 34000 * 96000
[/tex]

We can rewrite both numbers using scientific notation.

We have then:

[tex] (3,4 * 10 ^ 4) * (9,6 * 10 ^ 4)
[/tex]

Then, we can rewrite the expression as follows:

[tex] (3,4 * 9,6) * (10 ^ 4 * 10 ^ 4)
[/tex]

Same basis, the exponents are added:

[tex] (3,4 * 9,6) * 10 ^ 8
[/tex]

Multiplying the expression within the parenthesis we have:

[tex] (32.64) * 10 ^ 8
[/tex]

Rewriting the left term as scientific notation we have:

[tex] (3,264 * 10 ^ 1) * 10 ^ 8
[/tex]

Finally we have:

[tex] 3,264 * 10 ^ 9 [/tex]

Answer:

the correct expression of 34,000 x 96,000 using scientific notation is:

[tex] 3,264 * 10 ^ 9 [/tex]

3x+4y=-23
2y-x=-19
What is the solution (x,y) to the systems of equations above?

Answers

If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)

Final answer:

The solution to the system of equations 3x + 4y = -23 and 2y - x = -19, found using the elimination method, is (x, y) = (-61, -40).

Explanation:

To solve the system of equations 3x + 4y = -23 and 2y - x = -19, we can use the method of substitution or elimination. Let's use elimination to find the solution for (x, y).

Multiply the second equation by 2 to align the x terms: 2(2y - x) = 2(-19), which gives us 4y - 2x = -38.

Rewrite the equations to align like terms:
  3x + 4y = -23
  -2x + 4y = -38

Add the two equations together to eliminate y: (3x - 2x) + (4y + 4y) = -23 - 38, resulting in x = -61.

Substitute x back into the second original equation: 2y - (-61) = -19, which simplifies to 2y + 61 = -19.

Solve for y by subtracting 61 from both sides: 2y = -80, and then dividing by 2 gives us y = -40.

So, the solution to the system of equations is x = -61 and y = -40.

Match the expressions with the property used to generate 5y + 2y + 6 + 2.

Answers

7y + 8 should be your answer. 
Hope this helps!

5n + 3 = 2(n + 2) + 3n
N= ???
-Show All Work!-

Answers

Simplifying
5n + 3 = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n

Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4

Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.

52÷2 what is the answer to this math

Answers

52 / 2 is 26!

Brainliest? I am trying to get a higher rank!
52÷2=? The answer to this question is 26.

A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?

Answers

A circle with the radius of 6

What is the diameter of a circle with a circumference of 176 feet use for 22 over for pie

Answers

Formula for Diameter: 2 x radius
Formula for Radius:  R= C/2(pi)
R= 176/2(22/7)
R=28.01
2(28.01)=56.02

Answer= 56.02


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