State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people

Answers

Answer 1

Answer:

144

Step-by-step explanation:

Answer 2

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

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Related Questions

CAN YOU PLEASE JUST FILL THIS IN AND NOT LIKE EXPLAIN IT TO ME!!!

Answers

why don't you want an explanation, thats how you learn.

Answer:

It appears the slope is 1, 4 & the y-intercept is 0, 5.

Step-by-step explanation:

Per your request, no explanations required.

Good luck!!

Explain Long division in your own words using at least 3 sentences.

Answers

Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

I may be wrong been for ever since I did it on paper

Answer:

arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l

hope it helps

Can Someone Help please

Answers

Just put the x number for x and solve equation

which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)

Answers

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

What is trigonometric expression?

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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Seth earns $20 a day and $2 for each ticket he sells at the local theatre. Write and solve an inequality that can be used to find how many tickets he must sell in a day to earn at least $85.
write an inequality

Answers

Answer:

43

Step-by-step explanation:

divide 85 then add 1

answer : 2x + 20 = 85

explanation: from here, you would solve to find the value of x. to do this, you subtract 20 from each side of the equation, leaving you with the new equation: 2x = 65. From here, divide both sides by 2. This leaves you with the final answer being x = 32.5. since you can’t sell half a ticket, you would need to round up to get the full number of tickets to be 33. Therefore, Seth would need to sell 33 tickets to make at LEAST $85

what proofs should i use for all these steps?

Answers

Answer:

1, 2, 5, 12, 13

Step-by-step explanation:

∠1 = 90 is given, which is a right angle

∠3 = 90 as well because ∠1 and ∠3 are vertically opposite

∠3 = ∠8, because ∠1 and ∠8 are same side exterior angles, which are the same

Therefore ∠3 must be congruent to ∠8  

HELP ME RIGHT NOW!!!
1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.

Answers

Answer:

linear is when the graph shows a straight line

Answer:

linear is when the graph shows a straight line

Step-by-step explanation:

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

i need help plz its due in 30 minutes

Answers

Answer:

is 2/3 times - 13/12=- 5/12 times

Step-by-step explanation:

help will give brainly and pts.

Answers

the first option is the correct option.

The lengths of the two legs of a right triangle are 2 root 3 and 5 what is the hypotenuse? Leave the answer in simplified radical form.

Answers

Answer:

√37

Step-by-step explanation:

As per Pythagorean theorem:

c = √a² + b²

Substituting values

c = √ (2√3)²+5² = √12 + 25 = √37

What is absolute value

Answers

The opposite of smth on a number line.

Answer:

Absolute value is the distance of a number from zero

Step-by-step explanation:

for example 5 is 5 from zero -1000 is 1000 from zero absolute value will always be positive

Jenny got a haircut before school started. The stylist cut 0.36 inch off Jenny's hair. Which fraction and percent are equivalent to the amount of Jenny's hair the stylist cut off?

Answers

Answer:

The fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

The percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Step-by-step explanation:

From the question, the stylist cut 0.36 inch off Jenny's hair.

To determine what fraction is equivalent to the amount of Jenny's hair the stylist cut off, we will express 0.36 inch as a fraction.

[tex]0.36 = \frac{36}{100}[/tex]

Then, we will reduce [tex]\frac{36}{100}[/tex] to a fraction in its lowest term

[tex]\frac{36}{100} = \frac{9}{25}[/tex]

Hence, the fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

For the percentage equivalent to the amount of Jenny's hair the stylist cut off, we will express [tex]\frac{9}{25}[/tex] as a percentage. That is

[tex]\frac{9}{25} \times 100[/tex]%

= 36%

Hence, the percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Which expression is equivalent to 11 - (-3 5/8)?

Answers

Answer:

11 - (-3 5/8)

= 11 + 3 5/8 ( 2 negative signs become positive)

answer is B.11 + 3 5/8

Step-by-step explanation:

Answer:

The answer is 11 + 3 5/8

Step-by-step explanation:

I did it on khan

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will give brainliest

Answers

Answer:

14.7

Step-by-step explanation:

K=30

________________

Your gym membership costs $30 to join and $25 per month. Which equation gives the total costs y, for a membership that lasts x months?

Answers

Answer:

y=$25x+30

Step-by-step explanation:

This is the correct answer. The reason is that the equation is y=mx + b. b is like y-intercept, and that answer would be $30. $25x is correct because the question says per month, and when you see that it means ¨x¨.

evaluate 68 x 71 mentally.

Answers

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Which function has a greater rate of change?
Function A:
x 1.5 2.5 3.5 4.5 5.5
y –5 0 5 10 15
Function B:
y = –4.5x + 15
Function A has a rate change of BLANK and Function B has a rate change of BLANK so Function BLANK has a greater rate of change

Answers

Answer:

5; -4.5; Function A

Step-by-step explanation:

Rate of change for function A is:

(15 - 10)/(5.5 - 4.5) = 5/1 = 5

Rate of change of function B is:

-4.5 as the slope is the rate of change

Comparing the values:

5 > - 4.5

Function A has a greater rate of change

Answer:

Answer:

5; -4.5; Function A

Step-by-step explanation:

Rate of change for function A is:

(15 - 10)/(5.5 - 4.5) = 5/1 = 5

Rate of change of function B is:

-4.5 as the slope is the rate of change

Comparing the values:

5 > - 4.5

Function A has a greater rate of change

Which expression is the same as 5÷3 5 ÷ 3 ?

Answers

(5 times n) divided by (3 times n)
Step-by-step explanation:
(5 times n) divided by (3 times n) ,
(5 x n) : (3 x n) = 5 x n : 3 : n, where n : n = 1, and 5 : 3 x 1 = 5 : 3

Susan won $2000 and invested it into an account with an annual interest rate of 3.2%. If her investment were compounded monthly, which expression best represents the value of her investment after t years

Answers

Answer:

FV= PV*(1+i)^t

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Interest rate (i)= 3.2% = 0.032

Number of periods= t

To calculate the future value (FV) of the investment, we need to use the following formula:

FV= PV*(1+i)^t

For example, Susan invests for 4 years:

FV= 2,000*(1.032^4)

FV= $2,268.55

The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

Calculation of the expression:

Since

Susan won $2000 and invested it into an account with an annual interest rate of 3.2%.

Here Number of periods= t

Therefore we can conclude that The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

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PLEASE HELP!!

What is the length of segment DF

Answers

Answer
DF=4
Explanation
8/4=2
2*2
4

PLZ HELP I DONT UNDERSTAND (show steps)

Answers

Answer:

a= −b/x

Step-by-step explanation:

Let's solve for a.

ax2+bx=0

Step 1: Add -bx to both sides.

ax2+bx+−bx=0+−bx

ax2=−bx

Step 2: Divide both sides by x^2.

ax2x2=−bxx2

a=−bx

Answer:

Step-by-step explanation:

perfect sqaure formula (u+w)²=u²+2uw+w²

ax²+bx+c=0  divide by a

[tex]x^{2} +\frac{bx}{a} + \frac{c}{a} =0[/tex]  so u=1, 2uw=2*1*w= b/a, so w=b/2a

[tex](x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0[/tex] now that we formed the perfect sqare solve

[tex](x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0[/tex] but we can factor a negative in front of the fraction

[tex](x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0[/tex] now isolate the 2 terms and squareroot both sides

[tex]\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }[/tex] and you will be left with

[tex]x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }[/tex]  subtract b/2a from both sides

x= [tex]\frac{-b+ - \sqrt{b^{2}-4ac } }{2a}[/tex]

what do you need to add to 2 4/7 to make 4

Answers

answer=0.58

Step-by-step explanation:

24/7= 3.42 ,so you subtract this from 4 to get 0.58

can someone just fill this in for me and not tell me how to do it

Answers

Answer:

-4, 5, 14, 23, 32

Step-by-step explanation:

Funny, I learning this right now. What??? You expected an explanation? Nope.

Answer:

y values going left to right : -4, 5, 14, 23, 32

Step-by-step explanation:

I graphed it. i'll give you the link to desmos. It'll help you

What is the missing number from the following sequence?

4 7 11 18 29 47 __ 123 199 322

Answers

Answer: 76

Step-by-step explanation: 29 + 47

If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)

Answers

Answer:

ppap

Step-by-step explanation:

fhfhhffhff my name is denish paudyal

Answer:

7 - 5i

Step-by-step explanation:

complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then

7 - 5i is also a zero

Solve the equation.

Hint: Rewrite the equation!!!

16 = - 4(y + 3)

Answers

Answer:

Step-by-step explanation:

16 = - 4y - 12

Bringing like terms on one side

16 + 12 = - 4y

28 = - 4y

28/-4 = y

-7 = y

The answer:
16=-4(y+3)
16=-4y-12
16+12=-4y
28=-4y
-7=y

The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C. What was the final temperature on Sunday?

Answers

Given :

The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C.

To Find :

The final temperature on Sunday.

Solution :

Temperature on Saturday = initial temperature + 4⁰C

= 32⁰C + 4⁰C

= 36⁰C.

Temperature on Sunday = temperature on Saturday - 7⁰C

= 36⁰C - 7⁰C

= 29⁰C

Therefore, final temperature on Sunday is 29⁰C.

Hence, this is the required solution.

WILL MARK BRAINLIEST!!

1. Find 7% sales tax on a $48 purchase.

2. Find 6.5% sales tax on a $25 purchase.

3. You markup a $25 tool by 45%. What is the new price?

4. You markup a $40 watch by 75%. What is the new price?

5. You discount a $120 TV by 44%. What is the new price?

6. You discount a $65 coat by 25%. What is the new price?

PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.

Answers


Answer/Explanation:
1. 48 x 0.07 = $3.36
2. 25 x 0.065 = $1.63
3. 25 x 0.45 = 11.25, 11.25 + 25 = $36.25 (New price is $36.25)
4. 40 x 0.75 = 30, 30 + 40 = $70
(New price is $70)
5. 120 x 0.44 = 52.80, 120 - 52.80 = 67.2 (New price is $67.20)
6. 65 x 0.25 = 16.25, 65 - 16.25 = 48.75
(New price is $48.75)

Hope this helps :)

What is the value of the expression 2.8*10^7/1.4*10^3

Answers

you divide 2.8 and 1.4 which leads you with 2. subtract the exponents 7 and 3 and you get 4. the answer is 2x10^4 :)
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