The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Explain what the constant of proportionality (k), means in the context of the situation.

A: 4 sodas cost $6
B: One soda cost $7
C: One soda cost $2
D: One soda cost $4
E: 3 sodas cost $1

Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

Answer:

The answer is C A = 8

Step-by-step explanation:

Took the test on edge

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Answer:

basically you're solving for x.

Step-by-step explanation:

x = 11/4 for exact form

in decimal form

x= 2.75

in mixed number form

x = 2 3/4

but in this case it's 2.75

Answer:

$0.99

Unit rate is cost for 1 individual (song)

Step-by-step explanation:

$3.96/4

0.99

99 cents

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

Answer:

f(-2) = 19

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 3x + 1

f(-2) is x = -2

Step 2: Solve

Answer:

5.5997733e+16

Answer:

gsgdhxhdhhdbxbcbb ;)

Step-by-step explanation:

idkjwhdhdhhchchffh

Using then given formula replace the letters with the given information.

25 miles = r x 1.5 hours

To find r divide both sides by 1.5:

R = 25/1.5

R = 16.7 miles per hour

The answer would be B.

Step-by-step explanation:

eog=90

27+3y=90

3y=63

y=21

aob=180

x+90+3x+18=180

x+3x+108=180

4x=180-108

4x=72

x=18

good luck dude

Answer: y= 21

x=18

Step-by-step explanation:

Answer:

(6400-8700)/(8700)*100

Step-by-step explanation:

percent of change = (new value - old value)/(old value) * 100

percent of change = (6400 - 8700)/(8700) * 100

Answer:

Step-by-step explanation:

4x + 2x = 180

6x = 180

x = 30

Answer:

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 6 ounces. Use the Empirical Rule.

Step-by-step explanation:

Follow me.........

Answer:

Dan

Step-by-step explanation:

To figure out who ate the most, you can convert each fraction to decimal form. Whichever value is the largest belongs to the person who ate the most of a Snickers.

6/7 = 0.86

3/4 = 0.75

0.86 is bigger than 0.75, which means that Dan ate more of a Snickers.

Answer:

$5.49 each

Step-by-step explanation:

32.94 divided by 6

Answer:

[tex]\mid x+3\mid\ge 2[/tex]

Step-by-step explanation:

Inequalities

The  solution for the inequality:

[tex]\mid x+a\mid\ge b[/tex]

Can be expressed as:

[tex]x+a\ge b[/tex]

OR:

[tex]x+a\le -b[/tex]

Subtracting a to both inequalities:

[tex]x\ge b-a[/tex]

[tex]x\le -b-a[/tex]

Comparing to the given solutions, we have:

[tex]b-a=-1[/tex]

[tex]-b-a=-5[/tex]

Adding both equations:

[tex]-2a=-6[/tex]

Solving:

a=3

b=2

Thus, the required inequality form is:

[tex]\mathbf{\mid x+3\mid\ge 2}[/tex]

The required balance is $939.9

Given,

Time=7 years

Principal=700

Rate=4.3%

Compound Intrest:

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

The formula of the compound interest is,

[tex]A=P(1+\frac{r}{100})^T[/tex]

Now, substituting the given values into the above formula we get,

[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]

Learn More about Compound Intrest:

https://brainly.com/question/21072972

Answer: 50

Step-by-step explanation:

Ok, we have the equation:

C=4000x-100x²+x³

Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.

Then we will not have a maximum, because as x →∞, C(x) →∞.

By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).

Then let's do that:

The total cost for making x pieces is:

C(x) = 4000x-100x²+x³

Then the average cost, or the cost per piece, will be:

F(x) = C(x)/x = 4000 - 100*x + x^2

Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.

To find the minimum, we must look at the zeros of the first derivation of F(x):

F'(x) = dF(x)/dx = -100 + 2*x

The zero is when:

F'(x) = 0 = -100 + 2*x

          100/2 = x

             50 = x

Then the number of x that minimizes the average cost is x = 50.

Answer:

α β γ Sum of Interior Angles

75.96° 50.91 53.13° 180°

45° 126.87° 8.13° 180°

26.57° 135° 18.43° 180°

Step-by-step explanation: cause I did it

Answer:

S.A for Questions 1 and 2 for Edmentum and Plato

Like and Rate

Answer:

=pq+12p

Step-by-step explanation:

p(12+q)

=(p)(12+q)

=(p)(12)+(p)(q)

=12p+pq

Answer:

Its 2

Step-by-step explanation:

Just did this, please give brainliest!

Answer:

15000

Step-by-step explanation

4x15=60

60x250=15000

The rate of the juice poured by the machine every minute is 10 liters.

The ratio of two numbers a and b can be written as a : b = a/b.

The ratio of two quantities is the unit rate of one quantity with respect to the other.

The total amount of juice poured by machine is 250 ml.

And, the time taken for that is 4 second.

In order to find the rate in liter per minute, convert the time in seconds to minutes and volume in liters as follows,

60 second = 1 minute

⇒ 1 second = 1/60 minute

⇒ 4 second = 4/160 = 1/40 minutes.

And, 1 liter = 1000 milliliter

⇒ 1 milliliter = 1/1000 liter

⇒ 250 milliliter = 250/ 1000 = 1/4 liter

Now, the rate of juice poured per minute is given as,

1/4 ÷ 1/40

⇒ 1/4 × 40

⇒ 10 liter per minute

Hence, the machine pour every minute 10 liter of juice.

To know more about ratio click on,

brainly.com/question/13419413

#SPJ2

Answer:

heb he hrhrjejenennsksksskskkskskjsjjee

Answer:

1.646%

Step-by-step explanation:

Sample size (n) = 2000

Sample Proportion p = 17% = 0.17

α = 0.95

Margin of Error :

Z(1-α)/2 * √((p*(1 - p)) /n)

Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)

Zscore = 1.96

1.96 * √(0.1411/2000)

1.96 * √0.00007055

1.96 * 0.0083994

Hence,

1.96 * 0.0083994

= 0.0164628

= 0.0164628 * 100%

= 1.646%

The margin of error for the random sample 2,000 driver's license applications is 1.646%.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

It can be found out using the following formula.

[tex]MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)[/tex]

Here, α is the level of significance, n is the sample size and p is the sample proportion.

A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.

Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,

[tex]MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%[/tex]

Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.

Learn more about the margin of error here;

https://brainly.com/question/10218601

Answer:

2

Step-by-step explanation:

[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]

Hence, constant of proportionality = 2

Answer:

the answer is 0

Step-by-step explanation:

I know

Answer:

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.

Answer:

4

Step-by-step explanation:

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