Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?

The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

The complete question is:

A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?

A. The rate of change is $0.25 and minutes are the independent variable.

B. The rate of change is $0.25 and minutes are the dependent variable.

C. The rate of change is $0.10 per minute and minutes are the independent variable

D. The rate of change is $0.10 per minute and minute are the dependent variable.

The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,

Total Cost = $0.25 + $0.10(x)

Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.

Hence, the correct option is C.

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Answer:

maby awser b.76

Step-by-step explanation:

tell me if this helps

Answer:

x = 0

Step-by-step explanation:

3(3x+5) - 8 =7

9x + 15 - 8 = 7

9x + 7 = 7

9x = 0

x = 0

Let's check

3(3(0) + 5) - 8 = 7

3(0 + 5) - 8 = 7

3(5) - 8 = 7

15 - 8 = 7

7 = 7

So, x = 0 is the correct answer.

Answer:

x = 1/3

Step-by-step explanation:

64^2x+1 = 1024
4^3(2x+1) = 4^5

Since the bases are the same, two expressions are only equal if the exponents are also equal.

3 (2x + 1) = 5

Divided each term by 3

2x + 1 = 5/3

2x = 2/3

x = 1/3

\(\sqrt{-245}\implies \sqrt{(-1)(245)}\implies \sqrt{-1}\sqrt{245}\implies i\sqrt{49\cdot 5} \\\\\\ i\sqrt{7^2\cdot 5} \implies 7\sqrt{5}~i\)

Answer:

f(n) = 2 * 4^n

Step-by-step explanation:

The initial population = a male and a female = 2

The population quadruple every year, this means, a multiplication by 4 every year.

Hence, we have :

f(n) = (Initial population * multiple^years)

f(n) = 2 * 4^n

Answer:

The parallel sides are called the bases of the trapezoid

Step-by-step explanation:

\(area = (\frac{a + b}{2}) \times h\)

       \(= \frac{14.1+22.7}{2} \times 18\\\\=331.2 \ unit^2\)

Answer:

331.2 units^2

Step-by-step explanation:

There is a formula for the area of a trapezoid of legs a and b and width h:

a + b

----------- * h

     2

Here the leg lengths (which are parallel) are 14.1 and 22.7, and the width is 18.  Thus, the desired area is

14.1 + 22.7                        36.8

---------------- * 18  =  A  = ------------ * 18 = 331.2 units^2

       2                                   2

The dimension 20.3 is not needed here.

Answer:

The sum of all the sweets is 54 sweets

Step-by-step explanation:

Here, we want to calculate the number of sweets the three have altogether.

Let the number of sweet Faith has be x

Mathematically;

Faith has 4 sweets fewer than the average number of sweets

The average is the sum of all the sweets divided by 3

The average will be (10 + 30 + x)/3

Thus;

(10 + 30 + x)/3 - 4 = x

(40 + x)/3 = x + 4

40 + x = 3(x + 4)

40 + x = 3x + 12

40-12 = 3x -x

28 = 2x

x = 28/2

x = 14 sweets

So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Answer:

m=12

Step-by-step explanation:

8m=4m+48    subtract 4m from both sides

4m=48           divide both sides by 4 to get m alone

m=12              

Answer:

m=12

Step-by-step explanation:

8m=4m+48 (subtract the least m which is 4)

-4m -4m

4m=48 (divide by 4 to isolate the m)

_____

4 4

m=12

Answer:

I THINK 64.8

Step-by-step explanation:

The area of the square is \(42\frac{1}{4}\) square inches, Uncle Bill's age is 44 years and the cups used by Sally to make 4 batches of cookies is 14.

According to the question,

We have the following information:

3. The side of square = \(6\frac{1}{2}\) inches

Now, we will convert this from mixed fraction to simple fraction.

So, we have:

The side of square = 13/2 inches

Area of square = side*side

Area of square = 13/2 * 13/2

Area of square = 169/4 square inches

Area of square = \(42\frac{1}{4}\) square inches

2. Jim is 8 years old. Uncle Bill's age is \(5\frac{1}{2}\) times of Jim's age.

So, we have:

Uncle Bill's age = (11/2)*8

Uncle Bill's age = 11*4 years

Uncle Bill's age = 44 years

1. Sally uses \(3\frac{1}{2}\) cups for making 1 batch of cookies.

Now, the cups required to make 4 batches of cookies = (7/2)*4

The cups required to make 4 batches of cookies = 7*2

The cups required to make 4 batches of cookies = 14

Hence, the answers to be written in the given boxes are for 3, we have \(42\frac{1}{4}\), for 2 we have 44 and for 1 we have 14.

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Answer:

0.79 g/cm³

Step-by-step explanation:

175 g/223 cm³ = 0.79 g/cm³

Answer:

0.78 g/cm³

Step-by-step explanation:

Density = mass ÷ volume

=175g ÷ 223cm³

=0.7847533632(2dp)

=0.78g/cm³

Answer:

$15.19

Hope this helped!

Step-by-step explanation:

Write an equation

8.5% of 14 =

Convert percent into decimal:

8.5% = 0.085

"Of" means to multiply so multiply 0.085 to 14

0.085 x 14 = $1.19

14 + 1.19 = 15.19

Answer:

So it will take 6 minutes to ring up 72 items.

Step-by-step explanation:

Well this seems pretty simple just have to reads the question and know what to find.

So what we know :

A cashier can ring up 12 items per minute

So :

1 minute = 12 Minutes

And we have to find :

How long for 72 items

So since we know he can do 12 in a minute and it is asking how many minutes it will take for 72 we can divide.

So :

72 / 12

=

6

So it will take 6 minutes to ring up 72 items.

I hope this helps!

If you have any questions or concerns feel free to message me or comment. :)

Answer:

240

Step-by-step explanation:

82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.

Answer:

512000 (square root of it is 712.5)

Step-by-step explanation:

82 -2 = 80

80^3

= 80*80*80

= 80^3

= 512000 (square root of it is 712.5)

Let me know if this was helpful!!

Answer:

How long the ball was in the air

Step-by-step explanation:

3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.

Answer:

How much  long was the ball was in the air

Step-by-step explanation:

mark brainliest

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

Answer:

m = 4/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(24-12)/(6-(-3))

12/9 = 4/3

Answer:

2x^2y(x^2y^2 − 6xy − 4)

Step-by-step explanation:

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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Answer:

6z+25

Step-by-step explanation:

6(z+4)+1

=6z+24+1

=6z+25

Answer: 4+2

Step-by-step explanation:

z=1

6(4+1=5)+1=6

The binomial test is used to test the hypothesis HH0: p = p0 in a binomial distribution.

In the binomial test, we calculate the probability of observing the given data or more extreme data, assuming that the null hypothesis is true. If this probability, known as the p-value, is small (usually less than 0.05), we reject the null hypothesis in favor of the alternative hypothesis.

To perform the binomial test, we can follow these steps:

1. Define the null hypothesis HH0: p = p0 and the alternative hypothesis HA: p ≠ p0 or HA: p > p0 or HA: p < p0, depending on the research question.

2. Calculate the test statistic using the formula:
  test statistic = (observed number of successes - expected number of successes) / sqrt(n * p0 * (1 - p0))

3. Determine the critical value or p-value based on the type of test (two-tailed, one-tailed greater, one-tailed less) and the significance level chosen.

4. Compare the test statistic to the critical value or p-value. If the test statistic falls in the rejection region (critical value is exceeded or p-value is less than the chosen significance level), reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Remember, the binomial test assumes independence of the binomial trials and a fixed number of trials.

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Answer:

= 6 years old.

Step-by-step explanation:

Let your age 2 year ago be = x

= 2x

again

Let your age 2 years from now be x

= 2x

therefore

= 2x +2x = 24

= 4x = 24

= 4x/4 = 24/4

= x = 6

therefore you're 6 years old.

The interest she earned in the first three months after investing $8,200 was compounded quarterly at a rate of 2.25% $46.13.

Amount = principal \((1 +\frac{rate}{n} )^{nt\)

n = 4 as it is compounded quarterly.

Principal = 8200

Rate = 2.25%

Rate = 2.25/100

Rate = 0.025

t = 3 month

t = 3/13

t = 0.25 a year

Amount = 8200 × \((1 + \frac{0.0225}{4} )^{4(0.25)} \\\)

Amount = 8200 × ( 1 + 0.005625)

Amount = 8200 × (1.005625)

Amount = 8246.13

Interest = amount - principal

Interest = 8246.13 - 8200

Interest = 46.13

The interest she earned in the first three months is 46.13 .

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Answer:

The two numbers will be 9 and 4

Step-by-step explanation:

Hope it helps!

Answer:9 and 4

Step-by-step explanation:

Possible numbers summing to 13 1+12, 2+11, 3+10, 4+9, 5+8, 7+6.

9-4=5

Answer:

24 screeches

Step-by-step explanation:

20M=12L=8P=24S

Answer:

v<-1.3

Step-by-step explanation:

Add 3.9 to -5.2

v<-1.3

Hope this helped!