A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?

Answers

Answer 1

The requried system of inequalities that models this situation 6h + 8m < 200 and h + m < 40.

What is inequality?

In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,
Let's use the variables h and m to represent the number of ham and meatball subs sold, respectively. Then the system of inequalities that models this situation is:

h + m < 40 (the deli sells less than 40 subs)

6h + 8m < 200 (the total amount for all sales is less than $200)

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Answer 2

The situation is modeled by the system of inequalities h + m < 40 and 6h + 8m < 200, where h represents the number of ham subs and m represents the number of meatball subs sold.

The deli sells two types of subs: ham subs (h) for $6 each and meatball subs (m) for $8 each. The total number of subs sold on Monday is less than 40, and the total sales amount is less than $200. We are looking to model this situation with a system of inequalities.

To represent the scenario, we can use the following system of inequalities:

h + m < 40 (because the deli sells less than 40 subs)

6h + 8m < 200 (because the total amount for all sales is less than $200)

This system captures the constraints on both the number of subs sold and the total sales amount in dollars.


Related Questions

Four times a divided by two equals 5.2

Answers

Initial equation:

4a / 2 = 5.2

Multiply both sides by 2:

4a = 10.4

Divide both sides by 4:

a = 2.6

Hope this helps!! :)

Answer:

Step-by-step explanation:

2.6 becuase 4a/2= 5.2

4a=10.4

a=2.6

Hi I just have a question what is 23+4189

Answers

Answer:

4,212

Step-by-step explanation:

Step 1:  Add

23 + 4189

4,212

Answer:  4,212

Add 4189+23

Answer= 4,212

You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point?

Answers

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg =  a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The straight line distance is 5 miles from starting point.

Answer:

5

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

[tex]\sqrt{25}[/tex]=5

Given the function y= 7x - 3 determine the y-intercept of the line.

Answers

я не знаююююююююбююбббб

The answer is -3 I hope that will help you

abby buys 4 pencils and 2 erasers for $3.58. Micheal buys 1 pencil and 6 erasers for $2.49
what is the cost of 1 pencil and 1 eraser ?

Answers

Answer:

1 pencil = $0.75

1 eraser = $0.29

Step-by-step explanation:

4p+2e=3.58                                 1p+6(0.29)=2.49

1p+6e=2.49                                   1p+1.74=2.49

p=2.49-6e                                     1p=0.75

4(2.49-6e)+2e=3.58                       p=0.75

9.96-24e+2e=3.58

9.96-22e=3.58

-22e=-6.38

e=0.29

x2 + y2 + 12x + 2y – 1 = 0

Answers

Answer:

This question would be related to slopes so the answer is [tex]y=-\frac{7}{2}x+\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope-Intercept\:form\:of}\:\\x2+y2+12x+2y-1=0:\quad y=-\frac{7}{2}x+\frac{1}{4}[/tex]

[tex]\mathrm{Domain\:of\:}\:-\frac{7}{2}x+\frac{1}{4}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-\frac{7}{2}x+\frac{1}{4}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Parity\:of}\:-\frac{7}{2}x+\frac{1}{4}:\quad \mathrm{Neither\:even\:nor\:odd}[/tex]

[tex]\mathrm{Axis\:interception\:points\:of}\:\\-\frac{7}{2}x+\frac{1}{4}:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{14},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:\frac{1}{4}\right)[/tex]

[tex]\mathrm{Inverse\:of}\:-\frac{7}{2}x+\frac{1}{4}:\quad -\frac{4x-1}{14}[/tex]

[tex]\mathrm{Slope\:of\:}-\frac{7}{2}x+\frac{1}{4}:\quad m=-\frac{7}{2}[/tex]

Hope this helps you!

Have a good night!

What is the mad of this set 0,3,6,9,11,13,14

Answers

Answer:

When I calculated this I got: 4.2857142857143 but I don't know if that's the correct answer.

Step-by-step explanation:

marco wants to buy 2 books that cost 20$ each. He can save $5 a week. Draw siagrama and write equations to find how many weeks it will take hime to save enough money to buy the books.

Answers

Answer: He needs to wait 8 weeks.

Step-by-step explanation: 5•8 equals 40. 2 books, 20$ each and add them together, 40!

Final answer:

To determine the number of weeks Marco needs to save $40 to buy two books at $20 each, an equation can be set up based on his weekly savings of $5. Solving the equation 5 × w = $40 gives us w = 8, meaning Marco will need to save for 8 weeks.

Explanation:

The problem given is about Marco who wants to buy two books, each costing $20. He can save $5 a week. To calculate how many weeks it will take for Marco to save enough to buy the books, we can set up an equation. First, we need to determine the total cost of the books:

Cost of one book = $20Cost of two books = 2 × $20 = $40

Next, let’s set up our equation. If Marco saves $5 each week, the total amount saved after w weeks will be 5 × w. We want this to be equal to the total cost of the books, so our equation will be:

5 × w = $40

To solve for w, we divide both sides by 5:

w = $40 / 5

w = 8

Therefore, it will take Marco 8 weeks to save enough money to buy the two books.

What is the rate of change for the equation y = 4x +60?
The rate of change is .

Answers

The slope represents the rate of change. Then the rate of change will be 4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = 4x + 60

The slope is 4 and the y-intercept is 60.

The slope represents the rate of change. Then the rate of change will be 4.

More about the linear equation link is given below.

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Final answer:

The rate of change in the equation y = 4x + 60 is 4, which is the coefficient of x. This means for each unit increase in 'x', 'y' will increase by 4 units.

Explanation:

In mathematics, the rate of change in an equation like y = 4x + 60 is represented by the coefficient of the variable x. This is because, in such an equation which is in the form of y = mx + b (a standard linear equation), 'm' represents the rate of change or the slope of the line.

So, in your specific equation y = 4x + 60, the rate of change or slope is 4. This means that for each increment of 1 in 'x', 'y' will increase by 4 units. This value - 4 - is your rate of change in this case.

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Area of circles

Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest.

Answers

Step-by-step explanation:

Diameter of circle = 25 m

Therefore, radius of the circle = 12.5 m

[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]

This is so confusing I don't understand how to do it!

Answers

Answer:

494 square feet

494 ft^2

Step-by-step explanation:

Trapezoid:

(20 + 32) ÷ 2 ) × 3

52 ÷ 2 ) × 3

26 × 3

= 78

Rectangle:

32 × 13 = 416

Add:

78 + 416 = 494

Combine the like terms to simplify the polynomial. Show any work. Put your answers in standard form.

(5x^4-3x^3+2x^2-15x+27)+(7x^4+5x^3-x^2+8x-13)

Answers

Answer:

12x⁴ + 2x³ + x² - 7x + 14

Step-by-step explanation:

(5x^4-3x^3+2x^2-15x+27) + (7x^4+5x^3-x^2+8x-13)

(5+7)x⁴ + (-3+5)x³ + (2-1)x² + (-15+8)x + (27-13)

12x⁴ + 2x³ + x² - 7x + 14

Figure ABCD is reflected across the y-axis. What are the coordinates of A' , B' , C' , and D' ?

Answers

Answer:

Reflection in the y-axis maps:

(x,y) onto (-x,y)

x coordinate gets multiplied by -1,

y coordinate remains unchanged

what is the probability of rolling a 4 on a single sided die and then rolling a 6?

Answers

Answer:

If it is a six-sided die then it has the probability of 1/6 or .16

Step-by-step explanation:

The queen had 300 servants. there were 10 more butlers than cooks. the number of cooks was twice the number of maids. how many maids worked at the queen palace?

Answers

300-10 =290
Divide 290 by 2 = 145

The no. of maids who worked at the queen's palace is 58.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The queen had 300 servants. there were 10 more butlers than cooks. The number of cooks was twice the number of maids.

Assuming the no. of maids to be 'x', therefore no. of cooks is 2x and the no. of butlers is (2x + 10).

∴ x + 2x + (2x + 10) = 300.

5x = 290.

x = 58.

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Which of the following describes how to translate the graph y = 1xl to obtain the graph of y = lx - 11 - 1?
1)1 unit left and 1 unit down
2)1 unit left and 1 unit up
3)1 unit right and 1 unit down
4)1 unit right and 1 unit up
Please help

Answers

Answer:

3)1 unit right and 1 unit down

Step-by-step explanation:

The parent function is

[tex]y = |x| [/tex]

This is the base of the absolute value functions.

It has its vertex at the origin.

The transformed function is

[tex]y = |x - 1| - 1[/tex]

This absolute value function has its vertex at (1,-1).

This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.

if 2a+b=3,find the value of 8a³+b³+18ab​

Answers

Answer:

531.

Step-by-step explanation:

Let's assume 2(1) + 1 = 3

a = 1 and b = 1

Now we can plug that in

8(1)^3 + (1)^3 + 18(1)(1)

Then we need to multiply together

8^3 + 1^3 + 18

Then do the powers

512 + 1 + 18

Then add them together

531

Hope this helped!

Answer:

27

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

Factor the sum of cubes 8a³ + b³

8a³ = (2a)³, thus

8a³ + b³

= (2a)³ + b³

= (2a + b)(4a² - 2ab + b²)

We now have the right side as

(2a + b)(4a² - 2ab + b²) + 18ab ← substitute 2a + b = 3

= 3(4a² - 2ab + b²) + 18ab

= 12a² - 6ab + 3b² + 18ab ← collect like terms

= 12a² + 12ab + 3b² ← factor out 3 from each term

= 3(4a² + 4ab + b²) ← perfect square

= 3(2a + b)² ← substitute 2a + b = 3

= 3 × 3²

= 3 × 9

= 27

16 store cashiers work average 21 hours per week and paid $8.25 per hour . after store manager hires 2 additionsl cashiers each cashier will be paid .25 more per hour and will work an average of 1.5 fewer hours per week. what will be the change in total amount of money the cashiers are paid each week?

Answers

Answer:

The change in total amount of money the cashier are paid each week will be $331.5.

Step-by-step explanation:

16 store cashiers work average 21 hours per week and paid $8.25 per hour.

Now, the store manager hires 2 additional cashiers each cashier will be paid 0.25 more per hour and will work an average of 1.5 fewer hours per week.

Therefore, the two additional cashiers will be paid $8.50 per hour and will work an average of (21 - 1.5) = 19.5 hours per week.

So, the change in the total amount of money the cashiers are paid each week will be (2 × 19.5 × 8.5) = $331.5. (Answer)

If the length of a pool is 8 more than twice the width and the total area is 960 square feet, find the length and width of the rectangular landscape element.

Answers

Answer:

l=48, w=20

Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

[tex]l = 2w + 8[/tex]

The area of the pool is 960 square feet.

This means that:

[tex]w(2w + 8) = 960[/tex]

Expand and rewrite in standard form to get:

[tex]2 {w}^{2} + 8w - 960 = 0[/tex]

[tex] {w}^{2} + 4w - 480 = 0[/tex]

[tex]{w}^{2} + 24w - 20w- 480 = 0[/tex]

[tex]{w}(w+ 24) - 20(w + 24) = 0[/tex]

Factor to get:

[tex](w+ 24)(w - 20) = 0[/tex]

[tex]w = - 24 \: or \: w = 20[/tex]

We discard the negative value because magnitude is positive.

This means

[tex]l = 2 \times 20 + 8 = 48[/tex]

Write the explicit formula for the geometric sequence

Answers

The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.

Step-by-step explanation:

Step 1:

The value of [tex]a_{n}[/tex] is dependent on the value of n.

So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.

Step 2:

We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].

So the fourth formula represents the geometric sequence.

Memphis and his 2 brothers each had 3/4 cup of pretzels for snack.

How many cups of pretzels did the boys have altogether?

Answers

Answer:.1 1\2

Step-by-step explanation:

please help. i don’t get this. explain and show work. will give lots of points and mark as brainliest!

Answers

Final answer:

The student didn't provide enough information to answer their question. The subject and specific problem were missing from the request. More context or further details are needed to give a correct and applicable tutorial response.

Explanation:

Unfortunately, your question did not provide enough information for me to provide a specific answer. The subject and the specific problem you want to explain have not been given. Please provide these details, and I would be more than happy to help you understand any academic problem you're facing, whether it's about Mathematics, English, History, Biology, Physics or any other subject.

Remember that it's always good to include as much information as possible - what particular concept do you struggle with? Is there a specific assignment question that troubles you? This will help tutors provide you with the most accurate, relevant, and helpful answer!

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Find the missing angle measure below:

Answers

Answer:

81

Step-by-step explanation:

ANGLES in a TRIANGLE add up to 180

In the Triangle you have 65 and 34

Add them together = 99

Subtract the total from 180

180 - 99 = 81

Answer:

81 degrees

Step-by-step explanation:

The angles of the triangle always add up to 180.

SO you'd do 65+34 which equals 99.

NOW you do 180-99 which equals 81

So you're missing angle would be 81 degrees

Which of these absolute values is the greatest?

A.
|140|
B.
|-104|
C.
|104|
D.
|-204|

Answers

When doing absolute value, negatives will always be positive.

Option A's absolute value is 140.

Option B's absolute value is 104.

Option C's absolute value is also 104.

Option D's absolute value is 204.

Therefore, the option with the greatest absolute value would be D. |-204|

Answer:

A because is positive and highlights numbers

Complete the parts in each step to find the area of each trapezoid?

Press on the picture to see it

Answers

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

[tex]$A=\frac{b_{1}+b_{2}}{2} \times h[/tex]

Step 2: Substitute the given values in the formula.

[tex]$A=\frac{7+3}{2} \times 4[/tex]

Step 3: Add 7 and 3.

[tex]$A=\frac{10}{2} \times 4[/tex]

Step 4: Divide 10 by 2, we get

[tex]A=5 \times 4[/tex]

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

Brenda invests $4500 in the savings account earning 5.5% interest compounded quarterly. What will the account balance be after seven years?

Answers

The account balance will be $6642 after seven years.

Step-by-step explanation:

It is given that, Brenda invests $4500 in the savings account.The interest rate is 5.5% interest compounded quarterly.

To find the amount after seven years, a certain formula is used.

Amount = [tex]P( 1+r/n)^{n\times t}[/tex]

where,

P is the principal amount that is invested in the account.

Therefore, P = 4500 dollars.

r is the rate of interest. (r = 5.5 %)

Therefore, r = 5.5/100 = 0.055

n is the number of time the interest is compounded per year which is n= 4.

t is the time period which is t = 7 years.

Now, substituting all the above values in the formula,

Amount = [tex]4500(1+0.055/4)^{4\times 7}[/tex]

⇒ [tex]4500(4.055/4)^{28}[/tex]

⇒ [tex]4500(1.014)^{28}[/tex]

⇒ [tex]4500\times1.4759[/tex]

⇒ 6641.55 (which is approximately equal to 6642)

6642 dollars.

The account balance after 7 years is $6642.

What is the answer to 50% of $250

Answers

Answer:$125

Step-by-step explanation:

50% of 250

50/100 x 250

1/2 x 250=(1x250)/2=250/2=125

Write each repeating decimal using bar notation.
5.313131
0.999
2.010101
26.993993

Answers

Answer:

1) 5.313131 put the bar over the first 31

2)0.999 put the bar over the first 9

3)2.010101 put the bar over the first 01

4)26.993993 put the bar over the first 993

Step-by-step explanation:

If the volume of the pyramid shown is 216 in 3, what is the area of its base?

Answers

Answer:

Step-by-step explanation:

volume =1/3×base area×height

216=1/3× A×6

base area=216/2=108 in²

Answer:

Here is the answer

Step-by-step explanation:

108 in squared

or D

Which of the following is another way to express the equation 8 - (-) = 43?
8-d=43
-d + 8 = 43
-8+d=43
O8+ d=43

Answers

Question:

Which of the following is another way to express the equation 8 - (-d) = 43?

A.8-d=43

B.-d+8=43

C.-8+d=43

D.8+d=43

Answer:

8 + d = 43 is another way to express the given equation

Solution:

Consider the given equation

[tex]8 - (-d) = 43[/tex]

We have to find the another way to express the above equation

We know that,

We we multiply negative sign number by another negative sign number, then the result is positive sign number

Therefore from given,

[tex]-(-d) = -1 \times -d = d[/tex]

Thus the given equation becomes,

8 + d = 43

Thus option D is correct

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