A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).

The equation is . Another possible combination is

Answers

Answer 1

Answer:

15

Step-by-step explanation:


Related Questions

You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?

Answers

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!

Simplify 7-(3x+5y)+6(2x-3y)+8y

Answers

Answer:

Step-by-step explanation:

First get rid of the parentheses. Distribute the - sign and the +6 to each one.

[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]

Is 3.5 and 3.55 a equivalent decimal?​

Answers

No because it would have to be 3.50 to be equivalent

The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst ​

Answers

Answer: 1.5 (D)
Explanation: I plotted the points on a graph and calculated the length of AC (20) and A’C’ (30)
The answer should be 30/20 = 1.5
I hope this helps!


solve each equation for given variable
- 12 = 6i- 6

Answers

Answer: i = -1

Explanation:
First get the variable by itself. To do that, add six to both sides of the equation. You will have -6 = 6i. Than divide both sides by 6. It will give you i = -1.
-12 = 6i - 6
-12 + 6 = 6i - 6 + 6
-12 + 6 = 6i
(-12 + 6)/6 = (6i)/6
(-12 + 6)/6 = i

i = (-12 + 6)/6

how to do i need help solve

Answers

Answer:

51 cm^2

Step-by-step explanation:

We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.

We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2

Draw an line separating the two shapes.

Find the area of one: 9cm x 4cm= 36cm^2

Find the area of the second shape: 3cm x 5cm= 15cm ^2

Add the two answers together to get: 51cm ^2.

Have a great day!

Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?

Answers

2.75 packs

Step-by-step explanation:

11 packs ÷4 gardens =2.75 packs per garden

PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students

Answers

Answer:

its d 31 is 5 less than 36.....

y=3x/5-6 in standard form

Answers

Answer:

The standard form is 3x-5y-30=0

y = (3x/5)-6
(3x/5) - y = 6
3x - 5y = 30

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.

Answers

2 problems and 5 answer choices = 5 x 5 = 25 possibilities

1 correct answer out of 5 = 1/5
1/5 x 1/5 = 1/25

A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours

Answers

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways a - ​short-term note at ​11% interest and a​ long-term note at 8​% interest. Find the amount of each note if the total annual interest paid is ​$15200
.

Answers

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

Please help!

Consider matrices A, B, and C.

Which matrix represents (A-B)-C?

Answers

Answer:

B.) I cant insert a 2x2 matric but the [5 7

                                                             7 4]  matrix is correct

                                                             

Step-by-step explanation:

I got a 5/5 on the test so I know that B is the correct answer

The matrix which represents (A-B)-C will be the matrix in option (B).

What is the matrix?

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.

In another word, a matrix is a set of variables that are arranged in such a good way that we can create algebraic equation from that.

In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.

Given that the matrix

A -  B = [first raw  3 ,1  in second raw 2 ,0]

Now (A - B) - C = [ first raw 5 ,7 in second raw 7 , 4]

Hence, the correct option is (B).

For more about matrices

https://brainly.com/question/11367104

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The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.

Answers

Answer:

Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000

Step-by-step explanation:

Given the data :

108 83 106 73 53 85 80 63 67 75 124 55 93 118 77

Reorderd data :

53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124

The median salary:

1/2(n+1)th term

Sample size, n = 15

1/2 (15 + 1)th term

1/2(16)th term

8th term = 80

Median is $80,000

Median reported by Wall Street Journal approximately $85000

The obtained and reported values are close

The mean annual salary :

ΣX / n = 1260 / 15 = 84

Mean annual salary = $84,000

Mean is the average of all earnings combined, median is the mid value of he data.

First and third quartile :

Q1 = 1/4(n+1)th term

Q1 = 1/4(16)th term

Q1 = 4th term = 67

Third quartile:.

Q3 = 3/4(n+1)th term

Q3 = 3/4(16)th term

Q3 = 12th term = 106

Find slope of the line if it is defined through (5,10) and (5,-6)

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?

Answers

Answer:

915'000.+123=915,123

Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?​

Answers

Answer:

25 cups of apple juice and 10 cups of sparking water.

Step-by-step explanation:

When the radius of a sphene is doubled what is the resulting change in volume?

Answers

Answer:

3rd power

Step-by-step explanation:

When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.

Glad I could help (Maybe)

Help plz I don’t know the answer!!

Answers

Answer:201 11/21

Step-by-step explanation:

The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.

The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:

4232 divided by 21, often written as 4232/21.

Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:

4232 divided by 21 = 201.523809

The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .

4232 divided by 21 in decimal = 201.523809

4232 divided by 21 in fraction = 4232/21

4232 divided by 21 in percentage = 20152.38095238%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.

What is the answer please

Answers

this is literally like impossible, i’ve been trying to figure it out for like 15 minutes lol

solve the inequality. Graph the solution on a number line. 7<_2

Answers

i have no idea but i really need help on this too33458584837

Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Are they a function or not?

Answers

Answer:

A  linear function is a straight line and a non-linear function is not a straight line.

Step-by-step explanation:

Math nerds help me out

Answers

Answer:

the 3rd one

y= (x-1)(x-6)

Step-by-step explanation:

Answer:

y=(x-1)(x-6)

Step-by-step explanation:

from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6

it crosses the x axes on the roots, which happens at 1 and 6 on the graph

In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40

Answers

The answer is A. 50
Hope this helps :)

316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16

Answers

Answer:

c

Step-by-step explanation:

Given this circle puzzle what would angle 1-12 be? (Geometry)

Answers

Sorry I don’t know
But I think it would be 20

Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?

Answers

Answer: 12

Step-by-step explanation:

A strawberry farmer will receive 37 per bushel of strawberries during the first week of harvesting each week after that the value will drop 0.8 per bushel the farmer estimates that there are approxiamately 129 of strawberries int he fieldsand that the crop is increasing at a rate of four bushels per week when should the farmer harvest the strawberries to maximize their value? (Assume that "during the first week of harvesting" here means week 1. How many bushels of strawberries will yield the maximum value? (Round your answer to the nearest integer.)
bushels
2. What is the maximum value of the strawberries? (Round your answer to two decimal places.)
$

Answers

Answer:

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

b.)

Revenue = bx = (157)(31.4) = $ 4929.8

Step-by-step explanation:

Let number of bushes = b

The price of the bushes = x

The time to harvest = t

The revenue = y

Now given,

Price = x = 37 - (0.8)t

and

Number of bushes = b = 129 + 4t

Also,

The revenue = (Number of bushes)(Price of the bushes)

                     = bx

                     = (129 + 4t)[37 - (0.8)t]

                     = 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²

                     = 4773 - 103.2t + 148t - 3.2t²

                     = 4773 + 44.8t - 3.2t²

⇒ y = 4773 + 44.8t - 3.2t²

Now,

[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t

Now,

[tex]\frac{dy}{dt}[/tex] = 0

⇒ 44.8 - 6.4t = 0

⇒ - 6.4t = -44.8

⇒ 6.4t = 44.8

⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]

Now,

[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4

As [tex]\frac{d^{2}y }{dt^{2} }[/tex]  < 0 ,

It means at time t = 7 , the revenue is maximum

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4

b.)

Revenue = bx = (157)(31.4) = 4929.8

A ratio of two numbers a/b, where b is no zero

Answers

[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]

How do I find the volume of this pyramid

Answers

Answer:

10*10*12 = 120 ÷ 3 = 40

Step-by-step explanation:

The formula to find a pyramid's volume is

V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)

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