The graphs below show some data from a coffee shop menu. One of the graphs shows cost (in dollar) vs. drink volume (in ounces), and one of the graphs shows calories vs. drink volume (in ounces.)
a. Which graph is which? Given them the correct titles.
Graph A: _______vs volume......... Graph B:_______vs volume

b. Which quantities appear to be in a proportional relationship?
1. cost vs volume or
2. calories vs volume
For the proportional relationship, find the constant of proportionality.
a. 0.21 per ounce,
b. 12 calories per ounce,
c. 0.38$ per ounce, or
d. 15 calories per ounce

Answer:

8x-6y

Step-by-step explanation:

(3x-2y)+(5x-4y)

put like terms together

(3x+5x)+(-2y-4y)

add together

8x           -6y

put together

8x-6y

5 or 1/2 since it's numerator and denominator are integers

Answer:

B my friend

Step-by-step explanation:

Answer:

x = 45°

Step-by-step explanation:

The total measurement is 360° (the measurement of a circle).

Set the equation. Set all measurements equal to 360:

228 + (x + 29) + (x + 13) = 360

Combine like terms:

228 + 29 + 13 + 2x = 360

2x + 270 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:

2x + 270 (-270) = 360 (-270)

2x = 360 - 270

2x = 90

Next, divide 2 from both sides of the equation:

(2x)/2 = (90)/2

x = 90/2

x = 45

x = 45° is your answer.

~

Answer:

1. $85.50

2. $17.10

Step-by-step explanation:

1. 5.25 x 10=52.5:cost for all games total.

3.50 x 5=17.5: cost for all shoes total.

15.50: cost for super pizza deal.

Add it all together.

52.5 + 17.5 +15.50= 85.5

2. 85.5 Divided by 5 = 17.1

Answer:

x = 23

DBC = 23

ABC = 157

Step-by-step explanation:

angles ABC and CBD are supplementary.

supplementary angles add up to 180.

you can make the following equation

6x + 19 + x = 180

7x + 19 = 180

7x = 180 - 19

7x = 161

x = 161/7

x = 23

substitute x into the equations

DBC = x

DBC = 23

ABC = 6x + 19

ABC = 6 * 32 + 19

ABC = 138 + 19

ABC = 157

Answer:

Okay I think these are the answers for the Static blurs in the passage the principal reads

Good morning students, teachers, and staff! The teachers have joined the school fundraiser. They will be selling books for summer reading. They have a set goal of 360 dollars.

This is 210 dollars more than the 8th graders, but only [tex]\frac{4}{5}[/tex] as much as the 7th graders. For every 60 dollars the teachers plan to raise, the 6th graders plan to raise 50 dollars

The reason why the teachers goal is $360 is because on page 12 on the graphs it says that the teachers goal is $360, now thats big brain thinking

The teachers goal is 210 dollars more than the 8th graders because 360 - 150 = 210. It is also [tex]\frac{4}{5}[/tex] of the 7th graders goal because 6th graders plan to raise 50 dollars because $60*6=360 and $50*6 is $300. 6 is the common multiple of of 50 and 60

50, 100, 150, 200, 250, 300

60, 120, 180, 240, 300, 360

Boom.

For B you can say

1. The 6th grades' goal is more than the 8th graders goal

2. The 7th grades' goal is more than the 6th and 8th

3. The 8th grades' goal is [tex]\frac{1}{2}[/tex] of the 6th grades' goal

C I think the teachers goal is 360

I hope this helps you! I'm sorry it took long but it is worth it when helping others.

This question is Incomplete

Complete Question

In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of 400 subjects selected from this population, 73% possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic?

Answer:

Population = 6840 subjects

Samples = 292 subjects

Step-by-step explanation:

In a population of 9500 subjects, 72% possess a certain characteristic.

The number of subjects in the population with this characteristics =

9500 × 72%

= 6840 subjects

In a sample of 400 subjects selected from this population, 73% possess the same characteristic.

The number of subjects in this sample with this characteristics is :

400 subjects × 73%

= 292 subjects

6840 subjects in the population posses this characteristic, while 288 subjects in the sample posses this characteristic

The given parameters are:

[tex]\mathbf{n = 9500}[/tex] --- population

[tex]\mathbf{x = 400}[/tex] -- sample size

[tex]\mathbf{p =72\%}[/tex] ---- the proportion

The number of subjects that posses the characteristics is simply the average of the sample or the population.

For the population, the average is calculated as:

[tex]\mathbf{\mu =np}[/tex]

So, we have:

[tex]\mathbf{\mu =9500 \times 72\%}[/tex]

[tex]\mathbf{\mu =6840}[/tex]

This means that:

6840 subjects in the population posses this characteristics

For the sample, the average is calculated as:

[tex]\mathbf{\bar x=px}[/tex]

So, we have:

[tex]\mathbf{\bar x=72\%\times 400}[/tex]

[tex]\mathbf{\bar x=288}[/tex]

This means that:

288 subjects in the sample posses this characteristics

Read more about proportions, sample and population at:

https://brainly.com/question/23388293

Answer:

Step-by-step explanation:

a) This is a binomial distribution.

p = probability it is defective = 3% = 0.03, q = 1 - p = 1 - 0.03 = 0.97

This is a binomial distribution is given by the formula:

[tex]P(x)=C(n,x)*p^xq^{n-x}[/tex]

But n = 70

[tex]P(x=0)=C(70,0)*0.03^0*(0.97)^{70}=0.1186[/tex]

b) n = 102. Hence there can be 2 defective components, hence:

[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}=0.0447+0.1441+0.2204=0.4062[/tex]

c) n = 105, there can be 5 defective products:

[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}+C(102,3)*0.03^3 *(0.97)^{102-3}+C(102,4)*0.03^4*(0.97)^{102-4}+C(102,5)*0.03^5*(0.97)^{102-5}=0.0447+0.1411+0.2204+0.2273+0.174+0.1054=0.913[/tex]

Answer:

D

Step-by-step explanation:

7.28 - 2.9 = 4.38

Answer:

B and C

Step-by-step explanation:

A linear graph, that is a graph showing a straight line connecting the points plotted, shows a proportional relationship between two variables quantities if it cuts across the point of origin at (0, 0).

Graph A represents a proportional relationship between x and y variables, because the line that connects the points on the graph is a straight line, and also intercepts at (0, 0).

Graph B is a straight line graph, however, it does not intercepts the point of origin (0, 0). Graph B cannot represent proportional relationship.

Graph C is not a linear graph. If you try connecting the points together by drawing a line, the line would not be a straight line. Also, the line of the graph does not intercept at (0, 0). Therefore, it is safe to conclude that graph C does not represent a proportional relationship.

Graph D is a straight line graph. The rate of change between any two points on the lines of both graphs would be constant and the same all through, as the line of the graph intercepts at the point of origin, (0, 0). This connotes a proportional relationship.

Answer:

$26

Step-by-step explanation:

15 * 2= 30

30-4= 26

Answer:

false

Step-by-step explanation:

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals.

Step-by-step explanation:

All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

Answer:

The height of the building is 156.42 m

Step-by-step explanation:

Given;

mass of the ball, m = 0.66 kg

time of fall, t = 5.65 s

initial velocity of the ball, u = 0

Apply the following kinematic equation to determine the height of the building;

h = ut + ¹/₂gt²

h = ¹/₂gt²

h = ¹/₂ x 9.8 x 5.65²

h = 156.42 m

Therefore, the height of the building is 156.42 m

The building was 156.42 metres tall

From the question we are told that

the mass of the ball, m = 0.66 kg

the time of fall, t = 5.65 s

the initial velocity of the ball, u = 0

If we use one of the equations of motions in

h = ut + ¹/₂gt², we then have

h = (0 * t) +  (0.5 * 9.8 * 5.65²)  

h = 4.9 * 31.923  

h = 156.42 m

The height of the building is 156.42 m

see more about equation of motion here https://brainly.com/question/16878713

Answer:

Yes it represents a proportional relationship

Step-by-step explanation:

If you use the Vertical Line Test they don't hit 2 lines at the same time, instead they hit 1, therefore its proportional.

Answer:

This graph does not represent a proportional relationship because it is not a straight line, and the line does not pass through the origin.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

We can see that

Then, we substitute g(x) with x to get

Answer:

Step-by-step explanation:

No, because you need 40.26 square feet of glass to make both tabletops.

A) There are 12 kids on each team.

B) The 6 leftover students will probably be put on the teams as substitutes; if someone gets hurt or can't make it to the game, one of the substitutes play for them.

Answer:

A. Eva

Step-by-step explanation:

Given that

The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.

To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.

i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.

Number of Math Club students who went to the soap box derby = 6 + 6 = 12

OR

Simply, multiply number of students in each van with the number of vans .

6 [tex]\times[/tex] 2 = 12

Therefore, Eva is correct about the calculations.

The answer to the problem is [tex]\frac{1}{6}[/tex]

First, you must set up the equation.

[tex]-\frac{4}{9}*-\frac{3}{8}[/tex]

Then, you must cross multiply.

[tex]\frac{-12}{-72}[/tex]

Finally, simplify the fraction.

[tex]\frac{1}{6}[/tex]

Answer:

  с  60,800,000

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

__

When adding numbers in scientific notation, they need to have the same multiplier exponent. Here, it is convenient to use 10^6:

  8.0×10^5 = 0.8×10^6

  6.0×10^7 = 60×10^6

Then the sum is ...

  (0.8 +60)×10^6 = 60.8×10^6 = 60,800,000

Answer:

200 - 20 - 30 + 40

Answer:

its 499 i just did it and double checked a bunch

Step-by-step explanation:

I put it into omy graphing calculator also

Answer:

36

Step-by-step explanation:

The given statement can be modelled to a equation as -

f(x) = x² - 6.

Given is the statement - the difference of a number squared and six.

The given statement can be modelled as a equation as follows. Assume the number to be [x]. Then, we can write -

f(x) = x² - 6

Therefore, the given statement can be modelled to a equation as -

f(x) = x² - 6.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

Answer:

LOL WHAT

Step-by-step explanation:

Answer:

Yes, this is true

Step-by-step explanation:

Cardi B be twerking when she get home bc she knows that she got her weave snatched and her nails, and eyebrows got snatched. Her hubby broke up with her bc Cardi b wanted to be islam but he didn't. So she b twerking while she eating ice-cream. She sometimes does the WAP

Answer:

Jake has 11 hens

Step-by-step explanation:

It says in the question, all but 11 hens died. This means the rest died, but 11 are still alive.

Answer:

He has 11 hens.

Step-by-step explanation: