Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon of Hot N' Spicy requires 2 quarts of tomato sauce and 2 cups of hot peppers. Each gallon of Mild Mannered requires 3 quarts of tomato sauce and 1 cup hot peppers. Joe makes a profit of $38 on each gallonof Hot N' Spicy and $35 profit on each gallon of Mild Mannered. He has 18 quarts of tomato sauce and 10 cups of hot peppers on hand. How many gallons of each type of BBQ sauce should he make to maximize his profits? ​

Answers

Answer 1

Answer:

P=$254

Step-by-step explanation:

let Hot N' Spicy be x

and Mild Mannered be y

  the objective function is

38x+35y=P

the constraints are

1. tomato sauce

2x+3y=18--------1

2. hot peppers

2x+y=10--------2

solving 1 and 2 we have

using substitution method

2x+y=10--------2

y=10-2x

put y=10-2x in eqn 1

2x+3(10-2x)=18

2x+30-6x=18

2x-6x=18-30

-4x=-12

x=12/4

x=3

put x=3 in eqn 2 we have

2(3)+y=10

6+y=10

y=10-6

y=4

He should make 3 gallons of Hot N' Spicy

and 4 gallons Mild Mannered

38(3)+35(4)=P

114+140=P

254=P

P=$254


Related Questions

How do you write 1.8 x 10 to the power of 2 in standard form.

Answers

Answer:

It already is in standard form

1.8*10^2

Answer:

1.8 x 10²(Standard form) = 180 (Real Number)

How to write in standard form?

The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)

How do you write 1.8 × 10² in standard form?

Write the first number 1.Add a decimal point after it: 1.Now count the number of digits after 1. There are 2 digits.So, in standard form: 180 is 1.8 × 10²

The sum 51 + (-37) is equal to what? -14 88 88 14

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 and it's postive

if c= 2m + d ,Wich equation represents m​

Answers

Answer:

m= (c-d)/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

do the math

Simplify. Help:(
-7i•(-8i)

Answers

Answer:

I got - 56, I could be wrong though

Answer:

-56

Step-by-step explanation: multiply -7i (-8i)

Multiply -8 by -7 56ii

raise i to the power of 1

56(1 ii)

Use the power rule aman  m+n to combine exponents

56i  1+1

Add 1and 1   2

56i^2

rewrite i^2 as -1

56;-1

multiply 56 by -1

-56

x + 5 > 7
it’s inequalities

Answers

Answer:

X>2

Step-by-step explanation:

X+5>7

X>2

×= 7+5=12

×=12

always add the the numbers and the letter is always the answer of what u have gotten.

Help with this one please

Answers

Answer:

(3x - 14) (2x - 7)

I hope this helps!

Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:
The discriminant is 60

A rectangular room measuresn 11 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.98 foot

Total cost=$

Answers

Answer:

The answer is it will cost $64.68.

Step-by-step explanation:

It is (11 x 6)$0.98

please help asap 14 points​

Answers

Answer:

can i friend you

Step-by-step explanation:

4(x + 1) = 4x + 4
The equation has infinite solutions.
A value of x that makes the equation true is
which when substituted into the
equation and simplified makes the equation turn into
Another value of a that makes the equation true is
which when substituted
into the equation and simplified makes the equation turn into

Answers

Answer:

the 4 can change to any nummber

Step-by-step explanation:

The amount of W water used varies directly with the population N of people. City A has a population of 468,000 people and used 37.6 billion gallons of water we would expect City B to use if we know that it's population is 180,000.

Answers

Answer:

the anser is 36.6 gallos of weeding in the w

Step-by-step explanation:

cual es el valor de la expression
7×3²+3×7+6​

Answers

Answer:

90

Step-by-step explanation:

7 x (3x3) + (3x7) +6

(7 x 9) + 21+6

63 + 21 + 6

        90

If x= 12 and y=3, what is the value of x-y²?​

Answers

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

the polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

Answers

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

Solve for x: 4/9 x + 36 = 1/3

Answers

Answer:

x = -321/4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place

1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)

Answers

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

over a two hours time period, a snail moved 108 inches . how far is this in yards?​

Answers

Answer:3 yards

Step-by-step explanation:

36 inches equals a yard so 36 Multiplied by 3 is 108 Therefore 3 yards

evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72

Answers

Answer:

2/3

Step-by-step explanation:

[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]

A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750

Answers

Answer:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

[tex]x+y = 80 ............ 1[/tex]

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

[tex]325 \times x \\325x[/tex]

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

[tex]50 \times y\\50y[/tex]

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

[tex]325x+50y = 6,750 .............. 2[/tex]

Hence the system of equations represents the situation is:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

4 x 12 = 6 x n.

4
6
8
12

Answers

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

Please consider Brainliest :)

Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400

Answers

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

Answer:

car car truck

Step-by-step explanation:

Which of the following pairs of numbers have a greatest common factor of 6?
Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84

Answers

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.

Here, the GCFs are ...

A 6 and 3 --- 3

B 30 and 36 --- 6

C 24 and 48 --- 24

D 60 and 88 --- 4

E 18 and 66 --- 6

F 72 and 84 --- 12

_____

Additional detail on finding the GCF

You can factor numbers to see which factors are common:

  60 = 2^2 × 3 × 5

  88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88

You can use the Euclidean algorithm:

  Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.

  84/72 = 1 r 12

  72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84

(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?

Answers

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]

If both slopes are equal, then:

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]

Correct option: F.

i’ll mark brainlest! pls help :(

Answers

Answer:

square root: [tex]\sqrt{61}[/tex]

decimal: 7.81

Step-by-step explanation:

what is 2848448 X 39494948​

Answers

Answer:

1.12499306E14

Step-by-step explanation:

i did the math

Question 1
What is the 11th multiple of 15?

Answers

Answer:

165

Step-by-step explanation:

15*11=165

Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.

Answers

Answer:

11/132 = 1/12

Step-by-step explanation:

just put the rise over the run and simplify

Someone please answer this it’s due today I need help

Answers

Answer:

x = 8

Step-by-step explanation:

3x - 5 = 2.5x + 3 - (x - 4)

open parentheis

3x - 5 = 2.5x + 3 - x + 4

3x - 5 = 1.5x + 7

subtract 1.5x from both sides of the equation

3x - 1.5x - 5 = 7

1.5x - 5 = 7

add 5 to both sides of the equation

1.5x = 7 + 5

1.5x = 12

divide both sides of the equation by 1.5

1.5x/1.5 = 12/1.5

x = 12/1.5

x = 8

function rule y=3x-3

Answers

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card

24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252

Answers

I’m pretty sure it’s c

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

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