The total cost to buy pizzas from Mrs. miss holiday party can be found using the function C(x)=10+3.50x, where X is the number of pizza bought. She wants to order at least 5 pizzas but no more than 9 pizzas for class. Is this a continuous or discreet relationship?

What is the domain and what is the range of the situation?

Answers

Answer 1

Answer:

We have the equation:

C(x) = 10 + 3.50*x

x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z

This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.

She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:

5 ≤ x ≤ 9

Or we could write the domain as:

{5, 6, 7, 8, 9}

This means that the possible costs will be:

C(5) = 10 + 3.50*5 = 27.50

C(6) = 10 + 3.50*6 = 31

C(7) = 10 + 3.50*7 = 34.5

C(8) = 10 + 3.50*8 = 38

C(9) = 10 + 3.50*9 = 41.50

Then the range is:

{27.50,  31, 34.5, 38, 41.50}


Related Questions

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

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It will cost you $7.45

pls answer corectly

ignore the teacher in the backruond

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What’s the question?

What is the 93rd term of the arithmetic sequence-11,-7,-3

Answers

Answer: 361

Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)

Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)

Answers

Answer:

15) The ratio of hours to miles is 1 hour to 75 miles; 1/75

16) They will have traveled 900 miles.

17) It will take them around 9 hours.

Step-by-step explanation:

15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).

16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.

17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).

30 feet is to 40 feet as 12 feet is to 16 feet​

Answers

Answer:

I don't know what to do but

30 feet is to 40 feet is plus 10, 12 feet is to 16 feet is plus 4. I think if this wrong I am so sorry

Step-by-step explanation:

can you help me? i don’t understand

Answers

angle1 + angle2 = 180

[tex]4x + 20 + x + 20 = 180[/tex]

[tex]5x + 40 = 180[/tex]

[tex]5x = 180 - 40[/tex]

[tex]5x = 140[/tex]

[tex]x = \frac{140}{5} [/tex]

[tex]x = 28[/tex]

At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.

Answers

the values of 'm' and 'b' are 0.5 and 0 respectively.

Step-by-step explanation:

Are these triangles congruent ?

And what is the theorem ?

I will give a brainlist for the correct answer :)

Answers

Answer:

Step-by-step explanation:

These two are not congruent. The angle in both triangles must be included inside the two given lines.

So the answer is not congruent.

Help! Which is the right one?

Answers

Answer:

it depends on the rest of the equation

Step-by-step explanation:

sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle

let Q equal five at an angle of 45° in our equals 16 at an angle of 300° what is vector Q minus R

Answers

Answer:

D. 18.0

Step-by-step explanation:

edge

The value of |q-r| will be 18 for the given two vectors q and r.

What is vector?

A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.

Given, |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°.

Let OA =|q|

OB = |r|

BA = |q|-|r|

Hence ∠AOB = 45°+(360°-300)

∠AOB = 45°+60°

∠AOB = 105°

Given  |q| = 5,  |r| = 16

The Cosine Rule can be used in any triangle to relate all three sides to one angle.

Now using the cosine rule

|q-r| = √(16)²+(5)²-2×16×5×cos105°

|q-r| = 18

Learn more about vectors here:

https://brainly.com/question/13322477

#SPJ1

Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.

Answers

Answer:

the answer is someone else can

Answer:

S = P (r)(t)

Step-by-step explanation:

S = Simple interest

P = Principle

r = rate

t = time

S = (10000 x 2%)x2

Work brackets first 10000 x 2% = 200

then 200 x 2 = 400

S = 400

if john is 13 what will he be in 63 years

Answers

Answer:

76

Step-by-step explanation:

Answer: 76

Step-by-step explanation: may be dead

Hurry plzzzz!! It’s for a test and I’m stuck

Answers

Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry

urgent!! please answer correctly no trolls pls

Answers

Answer:

127 degrees

Step-by-step explanation:

96+31+x=180

x=53

180-53=m<1

127m<1

Determine the value of x.

Answers

i think the answer is d

K mola ofkg o okdgmbo9k

Answers

Answer: c

Step-by-step explanation:

C because the hour each have 25 more added to it

Which number is NOT written in scientific notation? ​

Answers

the last one is not scientific notation because the 25.67 is greater than 10

A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. The researcher examined the relationship between gender (men/women) and chosen major. The SPSS p-value was 0.0027. The conclusion of the statistical test is:

Answers

Answer: statistically significant

Step-by-step explanation:

The p-value of a statistical test tell us the conclusion to our hypothesis. When the result of the p-value lies between 0.27 it means there is a 27% chance of it occurring, when it is at 0.02 it means there is a 2% chance of it occurring. When it lies between 0.0027 it means there is 0.27 chance of it occurring this becomes statistically significant as this won’t have much changes or effects on the hypothesis. So what this means is there is chance it won’t occur.

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

Slope for (5,-2) (2,1)

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(1--2)/(2-5)

3/-3

-1

Shopping at Kohl's, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next week and buys three shirts and five pairs of pants for $115.00.​

Answers

Answer:

Step-by-step explanation:

x=shirt

y=pants

a) First week 4x+3y=85.50

b)3x+5y=115.00

C)

D) This point represent when the price is the same but the number of shirt are different for the first and second week.


Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.

Answers

The answer would be (D) Multiply the second equation by 4.

The second equation would become 8x - 8y = -28, and the 8y from the first equation and the -8y from the second would cancel out and you can solve for x.

NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)

Answers

Answer:

[tex]x = 9.4[/tex]

[tex]y = 17.7[/tex]

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

[tex]tan \theta = \frac{opp}{adj}[/tex]

So, we have:

[tex]tan\ 32= \frac{x}{15}[/tex]

Cross multiply:

[tex]x =15*tan\ 32[/tex]

[tex]x = 15 * 0.6248693519[/tex]

[tex]x = 9.3730402785[/tex]

[tex]x = 9.4[/tex] --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

[tex]cos \theta = \frac{adj}{hyp}[/tex]

So, we have:

[tex]cos\ 32= \frac{15}{y}[/tex]

Cross Multiply:

[tex]y * cos\ 32= 15[/tex]

Solve for y

[tex]y = \frac{15}{cos\ 32}[/tex]

[tex]y = \frac{15}{0.84804809615}[/tex]

[tex]y = 17.6876760506[/tex]

[tex]y = 17.7[/tex] --- approximated

You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?

Answers

Answer:

The account interest rate is 0.80%

Step-by-step explanation:

A=P(1+r/100)^10

1462=1350(1+r/100)^10{divide both sides by 1350}

1462/1350=(1+r/100)^10{find the 10th root of both sides}

1.00800=1+r/100{multiply through by 100}

100.800=100+r

r=100.800-100

r=0.80%

You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________

Answers

Answer:

0.05

Step-by-step explanation:

The Effect size  = (Difference in Means) / (Standard deviation)

= (20 - 19) / 20

= 1/20

= 0.05

Need help plz very much

Answers

Answer:

3

Step-by-step explanation:

Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:

[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]

Thus, 3 should go in the box.

please help me asap​

Answers

Answer:

Not sure what number sense is, but 3 is the answer.

Step-by-step explanation:

Answer:

the answer would be 3.

Step-by-step explanation:

5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!

A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z

Answers

Answer:

x = 10, y = 6 and z = 4

Step-by-step explanation:

From the question, we can form simultaneous equations of 3 variables.

Since the total tables is 20, then

x + y + z = 20

If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation

4x + 6y + 8z = 108.

From th last statement "if only half ..." We can form the following equation:

(4x)/2 + (6y)/2 + (8z)/4 = 46.

From these we have the equations (after simplifying) to be:

x + y + z = 20 -------------- 1

2x + 3y + 4z = 54 ----------- 2

2x + 3y + 2z = 46 ----------- 3

In order to solve these equations, let's subtract eqn 3 from 2, we have:

2z = 8

z = 4

Putting z = 4 in eqn 1 and eqn 2

We have:

x + y = 16 ----------- 4

2x + 3y = 38 -------- 5

To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.

4 x 2 : 2x + 2y = 32 ----------- 6

5 x 1 : 2x + 3y = 38 ------------ 7

Let's subtract eqn 6 from eqn 7, we have:

y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.

Therefore, x = 10, y = 6 and z = 4

find the slope of the line that contains (2,5) and (5,3)

Answers

Answer:

the slope is -2/3 hope that helps

Can y’all please help me with this y=-16 + 29t+ 6

Answers

Answer: m=29

Step-by-step explanation:

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