You are in charge of purchasing breakfast for an upcoming service activity involving about 50 people.

You have the choice to pick one of the following food items:

donuts ($0.30/each)
muffins ($0.50/each)
bagels ($0.40/each)
You have the choice to pick one of the following drinks:

individual cartons of milk or chocolate milk ($0.50/each)
individual bottles of orange juice or apple juice ($0.75/each)
You must stay within a budget of $100.

Write the following in your notebook.

What food item did you choose? What drink did you choose? Why?
Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.
Solve the inequality for y (slope-intercept form). Interpret the slope in context of the drinks and food items that are being purchased.
Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down? What does the shaded region represent?
What are the x and y-intercepts? Explain what these would represent in this situation.
What are the domain and range in this problem? Explain why you would or would not use the minimum and maximum values of the domain and range. How are the domain and range in the context of this problem different from the domain and range of any linear equation? What are the limits?

Answers

Answer 1

The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.

The items chosen

The items selected here could be any of the listed drinks and food items.

To solve this question, we use the following selection:

Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100

The inequality of the cost of items

In this case, we use the less than or equal to inequality.

So, we have:

0.5x + 0.5y ≤ 100

Solve the inequality for y (slope-intercept form).

In (b), we have:

0.5x + 0.5y ≤ 100

Subtract 0.5x from both sides

0.5y ≤ -0.5x + 100

Divide through by 0.5

y ≤ -x + 200

This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.

The graph of the inequality

See attachment for the graph of the inequality

The features of the graph include

Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutions

What are the x and y-intercepts?

From the attached graph, we have:

x-intercept = 200y-intercept = 200

This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item

What are the domain and range in this problem?

These are the acceptable x and y values of the graph.

From the attached graph, we have:

Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200

The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200

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Related Questions

wat is 2+2? im doing this to give you an extra 2 points!

Answers

Answer:

oh oh....I know...it's 4....I'm I right

Answer:

4

Step-by-step explanation:

Thanks btw

Let's pretend the [] are boxes.

[] this is one box.

[] [] these are 2 boxes, which is 2

if you put 2 plus 2,

[] [] + [] []

count them, you get 4

Hooray!

If you dunno how to count, you just see each of the boxes, then count up

1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!

The probability distribution shows the results of a survey of people's fear of flying on an airplane. find the probability that a person who is afraid of flying has never flown before. round to the nearest thousandth.

Answers

Answer:

0.070

Step-by-step explanation:

Bc I know how to do math

Mike wants to be elected president of the 7th-grade student council. he wants to determine his chance of winning the election. which would be the best way for mike to determine if he will win the election?

Answers

Answer:

B. survey a random sample of 7th-grade students

Step-by-step explanation:

this answer would make the most sense because it is a example of a random statistical question.

If a right circular cylinder and oblique cylinder both have a height of 12 inches and diameter of 6 inches, do they have the same volume? (Use straight pi equals 3.14)
Group of answer choices

Yes, they both have a volume of 339.12 inches cubed.

No, the right circular cylinder has a volume of 339.12 inches cubed and the oblique cylinder has a volume of 1 comma 356.48 inches cubed.

No, the right circular cylinder has a volume of 1 comma 356.48 inches cubedand the oblique cylinder has a volume of 339.12 inches cubed.

Yes, they both have a volume of 1 comma 356.48 inches cubed.

Answers

Answer:

Yes, they both have a volume of 339.12 inches cubed.

Step-by-step explanation:

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height. In this case the height forms a 90 degree angle from the opposite base to the position of the base, but outside of it.

Volume = π × Radius² × Height

The formula for the volume of a regular cylinder or an oblique cylinder is the same, if we imagine a stack of poker chips (forming a cylinder), even when we tilt the chips to one side (forming an oblique cylinder) the volume remains the same.

Now using this information, we must find the volumes of both cylinders.

For the oblique cylinder:
Given

Radius is 3 (Radius is have the diameter which is 6)Height is 12

Using the formula,

The volume would be 339.29 m³

Now solving for the other cylinder:

V=πr²h=π·32·12≈339.29201

Rounded, the answer would be 33.29 m³

This therefore proves that they both have the same volume.

Group the terms with variables on one side of the equal sign, and simplify.
8t −15 = 32t

Answers

Answer:

[tex] \implies \boxed{\rm t = \frac{ - 5}{8} }[/tex]

Step-by-step explanation:

8t-15=32t

Group the terms then subtract:

=>8t-32t=15

=>-24t=15

Divide both sides by -24:

[tex] \implies \rm \cfrac{ - 24t}{ - 24} = \cfrac{15}{ - 24} [/tex]

[tex] \rm \implies \: t = \cfrac{ - 5}{8} [/tex]

Which of the following represents the translation of R (-3, 4) along the vector
<7, -6> and then the vector < -1, 3 >?


Pls help lol

Answers

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

How to determine the resulting point by applying translations

Translations are a kind of rigid transformation. A transformation is rigid if and only if Euclidean distances are conserved. By linear algebra, an image as a consequence of consecutive translations is described by the following formula:

[tex]P' (x,y) = P(x,y) + \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

Where:

P(x, y) - Original pointP'(x, y) - Image[tex]\left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex] - Net translation vector

Now we proceed to determine the image of the given point:

P'(x, y) = (-3, 4) + (7, -6) + (-1, 3)

P'(x, y) = (-3 + 7 - 1, 4 - 6 + 3)

P'(x, y) = (3, 1)

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

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Luca shows his work in finding the solution to 2−6=5−5(−1)
. After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?

Answers

He multipled incorrectly

Naeema and Giovanna want to see who can run farther in 5 seconds. Naeema ran 9 yards and 8 inches. Giovanna ran 30 feet. Who ran farther? How much farther did they run?

Answers

Answer:

giovanna ran farther because naeema ran 9 yards and 8 inches and 9 yards is 27 feet so she ran 27 ft 8 in therefore giovanna ran farther

Step-by-step explanation:

30>27

GIVING BRAINLIEST!!!!!

Answers

flip over the line, then slide up


What is the equation of a line that has an x-intercept of 5 and a slope of 4?

Answers

Answer:

y=4x-20

Explanation:

Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.

Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20

   X  |  Y

   6  |  4

   5  |  0  

   0  |  -20

Hope this Helps!

The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?

Answers

Answer:

9.73  cm to 2 DP

Step-by-step explanation:

Total of the  lengths involved = 7*9.4 +  5*10.2

= 116.8 cm

So the mean of the 12 fingers

= 116.8/12

= 9.73  cm to 2 DP.

The perimeter of a rectangular field is 354m.
If the width of the field is 81m , what is its length?

Answers

Answer:

The length of the field is equal to 96 m.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]: P = 2l + 2w

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify given.

P = 354 m

w = 81 m

Step 2: Find Length

[Perimeter Formula - Rectangle] Substitute in variables:
354 m = 2l + 2(81 m)Simplify:
354 m = 2l + 162 m[Subtraction Property of Equality] Isolate l term:
192 m = 2l[Division Property of Equality] Isolate l:
96 m = lRewrite:
l = 96 m

∴ we have found the length of the field to be 96 meters.

---

Topic: Geometry

if g (x) = 3x²-4, then find g (-3)

Answers

Answer:

g(-3) = 23

Step-by-step explanation:

This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).

[tex]g(-3) = 3(-3)^{2} -4[/tex]

[tex]g(-3) =3(9)-4[/tex]                      Square -3 to get 9

[tex]g(-3) = 27-4[/tex]                         Multiply 9 by 3 to get 27

[tex]g(-3) = 23[/tex]                               Subtract 4 from 27 to get 23

Thus, g(-3) is equal to 23.

I hope this helps! Good luck!

Show how to write 3/4 with the denominator 12

Answers

3/4*3/3=9/12

Hope this helps

Envision Math 4th grade topic 16-1

Answers

The pic shows A but the question answer I think is C

Regina graphs the relationship between temperature (in °C) degrees and elevation (in M) in 9 different cities (Shown below).

What is the meaning of point A?
Choose 1 answer:

(Choice A)
A city 6m below sea level is 5° C below zero

(Choice B)
A city 6m above sea level is 5° C below zero


(Choice C)
A city 6m below sea level is 5° C above zero


(Choice D)
A city 6m Above sea level is 5° C above zero

Answers

The meaning of point A is (d) A city 6m Above sea level is 5° C above zero

How to determine the meaning of point A?

From the complete question, the point A is located as:

A = (5,6)

5 and 6 are positive numbers.

This means that A is located 6m above the sea level and 5° C above zero

Hence, the meaning of point A is (d) A city 6m Above sea level is 5° C above zero

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Answer:

ITS CHIOCE C

Step-by-step explanation:

I GOT IT WRONG ON KHAN ACADMEY BC OF THE FIRST ASNWER, AND FOUND OUT THE ACTUAL ANSWER :D

is 0.4285714285714 a rational number

Answers

Answer:

No it is not a rational number

Step-by-step explanation:

A rational number is a number that can be written in the form

p

q

, where

p

and

q

are integers and

q

o

.

All fractions, both positive and negative, are rational numbers. A few examples are

4

5

,

7

8

,

13

4

,

and

20

3

what is the area of a cylinder

Answers

A cylinder's volume is =

π r² h,

and its surface area is =

2π r h + 2π r².

(rounding) 0.46. whats the nearest tenth?

Answers

Answer:

0.5

Step-by-step explanation:

4 is in the tenths place and 6 is in the hundredths place

Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)

1 + 4 = 5, so the digit in the tenths place becomes 5

The digit in the hundredths place is dropped

0.46 rounded to the nearest tenth (one decimal place) = 0.5

Figure 1 is similar to figure 2. What is the height of figure 1?
4x 2x
x+1 x
A.1 Units
B.2 Units
C.8 Units
D.4 Units

Answers

Answer:D 4 units

Enjoy

The calculated value of the height of figure 1 is (d) 4 units

How to calculate the height of figure 1?

from the question, we have the following parameters that can be used in our computation:

The figures

The figure 1 is similar to figure 2

So, we have

4x/(x + 1) = 2x/x

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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Bo's family took a road trip to Niagara Falls. Bo fell asleep 84% of the way through the trip. If the total length of the trip was 600 miles, how many miles had they travelled when Bo fell asleep?

Answers

Answer:

504

Step-by-step explanation:

Simpifly : -5/6-7/-8+11/12–1/6+0- -7/16

Answers

Answer:

the chosen topic is not meant for use with this typ of problem try the examples below

Step-by-step explanation:

10 10 x 10 10 x 10x10 x10

Answers

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10


So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

Answer:

Step-by-step explanation:

The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10

So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.

choose the polynomial that is written in standard form

Answers

Answer: I don't know

Step-by-step explanation:

There are no choices. The question stated choose the polynomial which means it should have choices.

Correct me if I'm wrong though. Hope you won't be offended.

Answer:

Please read explanation... it always helps... trust me...

Step-by-step explanation:

alrighty sooo....

when a polynomial is written in standard form that means that the exponents are in order from greatest to least.... (i hope that isn't confusing....)

here is an example:

x^6  +  x^5  + x^2 + 23     --> this polynomial is in standard form because the exponents are in order from least to greatest..... 6 then 5 then 2 then 1

(remember that a number like 23 have an invisible 1 as the exponent....

(btw, this symbol ^ means "to the power of")

I really hope this helps!!!!

rose is making trail mix bags for her hiking club. she will use 20 ounces of walnuts, 11.1 ounces of almonds, and 15.4 ounces of cashews. this amount makes 25 bags of trail mix. how many ounces are in each bag? (please have explanation and answer)

Answers

Answer: 1.86 oz. per bag

Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5

Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86

Answer:

2.15 ounces

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.

From the question we are told that these amounts make 26 bags.

The number of ounces that are in each bag is calculated as:

26 bags = 55.9 ounces

1 bag = x ounces

Cross Multiply

26 bags × x ounces = 1 bag × 55.9 ounces

x ounces = 1 bag × 55.9 ounces/26 bags

x ounces = 2.15 ounces

Therefore, there are 1.94 ounces in each bag

PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (x+3)²=41 can be found as shown below,

(x+3)²=42

(x+3)=√42

x+3=6.48

x = 3.48

Hence, the value of x is 3.48.

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A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):


Brand A
Number of Bottles, x Price (dollars), y
2
22
3
33
4
44
5
55


Brand B
y = 17x

How many dollars more is the price of 8 bottles of brand B oil than the price of 8 bottles of brand A oil?
$5
$6
$28
$48

Answers

Answer:

$48

Step-by-step explanation:

The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:

                       $   48

Step-by-step explanation:

Brand A--

Number of bottles (x)       Price (dollars) y

2                                                   22

3                                                   33

4                                                   44

5                                                   55

The function that represents the relation between the price of the bottles and the number of bottles is:

              y=11x

Brand B--

Also, the price of the bottles depending on the number of bottles is:

                Y=17x  

According to Brand A the price of 8 bottles is:   y=11×8=$ 88

and according to Brand B the price of 8 bottles is: y=17×8= $ 136

Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:

      $ 136-$ 88

   = $ 48

can someone help me plss ill mark brainliest

Answers

Answer: x^44y^16z^44

Step-by-step explanation:

Identify the amount (a) and the growth factor (b) in each exponential function. Break B into (1+r) where the rate of growth. Give r as a percentage.



y=1.07 (1.96)x
a
b=
r(as a percentage)

Answers

Answer:

a = 1.07

b = 1.96

r = 96%

Step-by-step explanation:

In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.


Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.

1.96 = 1 + r

So r = .96


Now, we just have to convert .96 into a percentage to get a growth rate of 96%.

Determine the equation for the line of best fit to represent the data.

Answers

Answer:

d

Step-by-step explanation:

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