You are currently working two jobs so that you can earn enough money to go to the beach for Spring Break Pollo Tropical
(x) and Jason's Deli (4). Pollo Tropical pays $8/hour and requires that you work at least 10 hours/week. Jason's Deli pays
$8.75/hour but does not allow students to work more than 20 hours per week. Due to commitments, at school, you can't
work more than 28 hours/week. Write the objective function and a system of inequalities to model this situation.

Answers

Answer 1

Answer:

First, let's define two variables:

x = number of hours that you work at the Pollo Tropical per week

y = number of hours that you work at Jason's Deli per week

Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.

With the given information, we know that the weekly earnings are:

x*$8 + y*$8.75

We can define this as the objetive function, the one that says how much money you get as a function of x and y:

M(x, y) = x*$8 + y*$8.75

Now, we know that:

"Pollo Tropical requires that you work at least 10 hours per week"

Then:

x ≥ 10

"Jason's Deli does not allow students to work more than 20 hours per week."

y ≤ 20

"you can't  work more than 28 hours/week."

x + y ≤ 28

Then we have:

M(x, y) = x*$8 + y*$8.75

And the system of inequalities is:

x ≥ 10

y ≤ 20

x + y ≤ 28


Related Questions

Jupiter is about 5. 2 Astronomical Units (AU) from the Sun. Neptune is about 30. 1 AU from the sun. How many times as far from the Sun is Neptune as Jupiter? First answer gets brainliest

Answers

If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.

Therefore the answer is 5.79.

To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.

Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:

= Distance from the Sun to Neptune / Distance from the Sun to Jupiter

= 30.1 / 5.2

= 5.79

So, Neptune is about 5.78 times as far from the Sun as Jupiter.

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Can someone answer the division questions?

Answers

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

54 is 72% of what number?

Answers

Using Y as the answer, 54/72% = Y/100%. 72Y = 54 x 100, 72Y = 5400 divided by 100 = 75.
54 is 72% of 75.

This problem requires simple division in which we will be dividing 54 by 0.72:

54 / 0.72 = 75

This can be checked through calculation of 72% of 75, which can be started with by dividing 75 by 10 to find 10% of 75:

75 / 10 = 7.5, and we can divide again by 10 to find that 0.75 is 1% of 75.

Now that we have 1%, we multiply it by 72 to find that:

0.75 • 72% = 54

Therefore, 54 is 72% of 75.


will give brainlyist to whoever can help me or can tell me where to find the answers

Answers

Answer:

Step-by-step explanation:

Is algebra.
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Answers

Answer:

[tex]6(x-10)(x+9)[/tex]

Step-by-step explanation:

First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression [tex]6(x^{2} +x-90)[/tex]. Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, [tex]6(x-10)(x+9)[/tex].

Rsm question please help!

Answers

The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²

How to perform multiplication on algebraic expressions?

An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25

In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:

-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)

= 1x⁴ + 1.5x³ - 2x²

= x⁴ + 1.5x³ - 2x²

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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:  24/25

==================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(L) = ML/LK

cos(L) = 24/25

The diagram is below.

The side KM = 7 is not used at all.

6. Jenna wants to hang outdoor stringed lights on her house along the roof line

and horizontally across, connecting the ends of the roof line to create a triangle.

What is the approximate length, in feet, of lights that she needs to create one

triangle?

A. 48

B. 64

C. 80

D. 98

Answers

The approximate length, in feet, of lights that she needs to create one triangle is 64

This is an approximate estimate as the exact length would depend on the specific measurements of the roof line. However, if the roof line is a typical house roof and the string lights are hung horizontally across to connect the ends of the roof line, creating a triangle, the approximate length of lights needed would be the hypotenuse of the triangle (the longest side) which is equal to the square root of (leg 1^2 + leg 2^2).

A typical house roof is approximately 40 feet wide and 20 feet tall, which creates a right triangle with legs of 40 and 20. The hypotenuse of this triangle (the length of lights needed) would be approximately 64 feet (the square root of (40^2 + 20^2) = 64).

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State the Pythagorean theorem using the triangle shown below

Answers

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

Answer:

p^2+q^2=r^2 (the third option)

Step-by-step explanation:

The Pythagorean theorem states that each side not the hypotenuse squared equals the hypotenuse squared.

The planet Mercury travels 180,600 miles in its orbit during the 7 hours that make
up a typical school day. Find the unit rate.

Answers

Answer:25800 for 1 hour

Step-by-step explanation:

ewasfzafsagds

express 0.67, 7 recurring as a fraction​

Answers

Answer:

61 divided by 90

Step-by-step explanation:

If n=4 the value of the expression 28-12+ square root of n divided by 2 is____.
A. 15
B. 17
C. 17/2
D. 21

Answers

Answer:

the answer is c: 17/2

Step-by-step explanation:

This is due tomorrow please help!!!

Answers

Answer:

the length would be the same as the other side so the length would be 19.5 and the width 15

Suppose you are given the following rational function: y= 2x-4/x^2-4. What is the corresponding range value when the domain value is {4}?

Answers

Answer:

1/3

Step-by-step explanation:

The value of the range of the given function will be 1 / 3.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The solution of the given function will be:-

[tex]y =\dfrac{2x-4}{x^2-4}\\\\\\y=\dfrac{2\times 4 -4}{(4^2)-4}\\\\\\y=\dfrac{1}{3}[/tex]

Therefore the value of the range of the given function will be 1 / 3.

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i need to add 7/4 + 1/4 +5/3+ 1/3+1/2+1/2

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]

WILL MARK BRAINLIEST HELPPP QUICK

Select ALL the expressions that are equivalent to 16x − 12 − 24x + 4

1) 40x − 16
2) −8x − 8
3) 16x − 24x − 4 + 12
4)10(1.6x − 1.2 − 2.4x + 4)
5)4 + 16x − 12(1 + 2x)

Answers

Answer:

2,3 and 5

Step-by-step explanation:

2
5

make sure to simplify the expressions and add like terms!!

solve for x. please help.

Answers

Answer:

x = 16

Step-by-step explanation:

adjacent angles in a parallelogram are supplementary

3x + 5 + 9x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

Translate and solve: -5 times b is no less than 35.

Note: Write your solution in interval notation,

Answers

The solution in interval notation b ∈ (-∞ , -7)

-5 times b is no less than 35.

5b  ≥ 35

n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

-[tex]\frac{5b}{5} = \frac{-35}{5}[/tex]

This can be accomplished if both sides are divided by .

Notice that the inequality sign has changed.

b ≤ -7

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, this is the common factor:5

b ∈ (-∞ , -7)

We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.

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Which of the b values are solutions to the following equation?
b^2 = 2.56b

Answers

Answer:

answer is D

Step-by-step explanation:

as we need to cancel the square in b

so we add square root on both sides and square root of 2.56 is 1.6

Answer:

C and D

Step-by-step explanation:

Given

b² = 2.56 ( take the square root of both sides )

b = ± [tex]\sqrt{2.56}[/tex] = ± 1.6

Then solutions are

b = - 1.6 → C

b = 1.6 → D

The basketball team averaged 68 points per game last season and average 77 points per game this season. What is the approximate percent of the increase

Answers

According to question we can say that the approximate percentage of the increase is 13.2352%.

What is percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

Based on the given conditions, formulate: (77 —68)/ 68

e sum or difference:9/68 = 0.132352

0.132352 x100/100

=13.2352%

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Mr.Parrillo’s class has adopted a section of a highway to keep clean.If 1/3 of the section is 3/4 how long is the whole section

Answers

The whole section is 9/4 unit.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Mr.Parrillo’s class has adopted a section of a highway to keep clean.

1/3 of the section is 3/4.

To find the length of the whole section:

Multiply by 3.

So,

The length of the whole section = 3 (3/4)

The length of the whole section = 9/4

Therefore, 9/4 unit is the length.

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Help PLSSS for brainlest and extra points lol

Answers

Answer:

b

Step-by-step explanation:

Answer: I would go with B.

Step-by-step explanation:

X<6. It’s looking for numbers that are smaller than 6 basically, so the arrow should go to the left. The circles also are important. A closed circle means greater than or equal to or vise verse, and the open circle just looks like these < >.

Find the value
9 (2) 7
HELPPPP MEEEE I NEED THIS ASAP

Answers

Answer:

15/40 which is 3/8

Plug in the numbers into the variables then complete it which then gives you 3/8 simplified

evaluate 27/32 × 16/27, give your answer in its simplest form​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{27}{32}[/tex] × [tex]\frac{16}{27}[/tex] ← cancel the 27 and 16, 32 by 16

= [tex]\frac{1}{2}[/tex]

If m^2 = 3 then what is the value of 5m^6

a. 15
b. 30
c. 45
d. 135

Answers

Answer:

d. 135

Step-by-step explanation:

[tex] {m}^{2} = 3...(given) \\ \therefore \: {( {m}^{2} )}^{3} = {3}^{3} \\ \therefore \: m^{6} = 27 \\ \therefore \: 5m^{6} = 27 \times 5 \\ \therefore \: 5m^{6} = 135[/tex]

please help me out will give brainliest

Answers

Answer:

Step-by-step explanation:

HELP PLEASE ANOTHER ONE!

Answers

Answer:

(6.9)

Step-by-step explanation:

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

A) -2 - i√3 , -2 + i√3

Step-by-step explanation:

Solve using quadratic formula

x² + 4x + 7 = 0

The Almighty Formula

= -b ± √b² - 4ac/2a

Where ax + bx² + c = 0

From the above question

a = 1, b = 4, c= 7

Hence,

-4 ± √4² - 4 × 1 × 7/2 × 1

-4 ± √16 - 28/2

=( -4 ± √-12)/2

Since

b² - 4ac < 0

We have two complex roots

Simplifying

( -4 ± √-12)/2

= -4/2 ± √-12/2

= -2 ± 2√3i/2

= -2 ± √3i

Therefore,

-2 - √3i , -2 + √3i

or

-2 - i√3 , -2 + i√3

Option A , is the correct answer

PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.

Answers

Answer:

1. b > 12

2. To draw it on the number line, draw a circle around 12, and draw an extending line going to the left of 12.

Step-by-step explanation

Just learn your maths! lol

Answer:

b > 12

Step-by-step explanation:

Which equation can be used to determine the line that passes through the points (-1, -2) and (3, 10)?Justify your reasoning using new and prior concepts. Use math vocabulary to explain your thinking.

Answers

The equation the line is, y-3x=1

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-1,-2) and, (3,10)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+2)/(x+1)=(10+2)/(3+1)

=>y+2=3x+3

=>y-3x=1

Hence, the required equation is,  y-3x=1

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