Stephanie sells 12 pretzels per hour. Robert sells 15 pretzels per hour. This week, Robert sold an additional 18 pretzels. Which of the following expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked?


A- 15S + 12R +18
B- 12S + 15R +18
C- 12S + 15R
D- 12S + 18R

Answer:

4/5 pounds is your answer

Step-by-step explanation:

You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs

Hope this helps! :D

4x-6+3x+6=

7x

THE ANSWER IS "A"

Answer:

A 7x

Step-by-step explanation:

(4x - 6) + (3x + 6)

4x - 6 + 3x + 6

7x

Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

Answer:

B. 63°

Step-by-step explanation:

The distance around a circle is 360°

This means that 297° + n = 360°

Equation:

297 + n = 360

We can find the value of n by subtracting:

297 + n = 360

-297        -297

n = 63

Therefore, the value of n is 63 degrees.

the total cost of the clarinet, including shipping and handling, is $600.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Jordan bought a clarinet priced at $517. Shipping and handling cost an additional 16% of the price.

The cost of shipping and handling is 16% of the price of the clarinet, which is:

0.16 * $517 = $82.72

the total cost of the clarinet including shipping and handling, we need to add the cost of the clarinet and the cost of shipping and handling:

Total cost = $517 + $82.72 = $599.72

Rounding this to the nearest dollar, we get:

Total cost = $600

Therefore, the total cost of the clarinet, including shipping and handling, is $600.

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a. If the data is weight, the z-score for someone who is overweight would be positive.

b. If the data is IQ test scores, an individual with a negative z-score would have a low IQ.

c. If the data is time spent watching TV, an individual with a z-score of zero would watch the average amount of TV.

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be negative.

The z-score represents how far a data point is from the mean in terms of standard deviations. If someone is overweight, their weight would be above the mean weight, so their z-score would be positive.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone has a negative z-score for IQ test scores, it means their score is below the mean score, so their IQ would be low.

A z-score of zero means the data point is exactly at the mean, so someone with a z-score of zero for time spent watching TV would watch the average amount of TV.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone is making minimum wage, their salary would be below the mean salary, so their z-score would be negative.

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The statements that are true of the diagram showing its exterior angles are: m∠5 + m∠6 = 180°; ∠ 2+ ∠ 3 = ∠6; and m∠2 + m∠3 + m∠5 = 180°

According to the exterior angle property of a triangle, each exterior angle of a triangle is equal to the sum of the opposite interior angles.

Let's consider a triangle ΔABC with exterior angles as ∠1, ∠4, and ∠6. Based on the exterior angle property of a triangle, we can state that:

for exterior ∠1, we have ∠1 = ∠5 + ∠3,

for exterior ∠4, we have ∠4 = ∠5 + ∠2,

for exterior ∠6, we have ∠6 = ∠2 + ∠3.

The triangle sum property states that the sum of the measures of angles in a triangle is 180°, so we can say that m∠2 + m∠3 + m∠5 = 180°.

Also, the linear pair property states that the measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees, which means that m∠5 + m∠6 = 180°.

Therefore, the answer is:

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His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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The number of managers are in this survey = 96

Let us assume that A represents the set of managers with BS degree and B represents the set of managers with masters degree.

46 managers have a masters degree.

⇒ n(A) = 46

60 managers have a B.S. degree

⇒ n(B) = 60

20 have both a masters and bs degree.

⇒ n(A ∩ B) = 20

10 managers have neither degree

⇒ n(A ∪ B)c = 10

We know that the set formula,

n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q)

So,  n(A ∪ B) = n(A) + n(B) – n (A ⋂ B)

n(A ∪ B) = 46 + 60 - 20

n(A ∪ B) = 86

Let n(S) be the be the total managers are in this survey.

n(S) = n(A ∪ B) + n(A ∪ B)c

n(S) = 86 + 10

n(S) = 96

Therefore, there are 96 managers in this survey.

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Answer:

about 15.3.

Step-by-step explanation:

46 divided by 3. ig

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The values of x and y that make RAPT a parallelogram are;

x = 15 and y = 25

Angle T and angle P are supplementary angles by parallel lines. Thus they sum up to 180 degrees and we have;

3x + 10 + 8x + 5 = 180

11x + 15 = 180

11x = 165

x = 15

T = 55°

P = 125°

Likewise R and T are supplementary angles by parallel lines and so we have;

55 + 5y = 180

5y = 180 -55

5y = 125

y = 25

R = 125°

A must be 55° since the angles add up to 360°.

R + A + P + T =

125 + 55 + 125 + 55 = 360°

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The entrance fee is proportional to the number of visitors at A)museum a.

In arithmetic, two sequences of numbers, often experimental statistics, are proportional or at once proportional if their corresponding factors have a regular ratio, that's called the coefficient of proportionality or proportionality consistent.

The definition of proportional is something that has an incredibly correct dating of length or that is appropriate. An example of something proportional is a woman's tiny toes to her quick stature. An instance of something proportional is the quantity of pay a worker receives for the hours that they installed.

While something is proportional to something else, it does no longer suggest the values are equal, simply that they trade with admiration for each other. The regular of proportionality serves as a multiplier.

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Answer:

Museum C

Step-by-step explanation:

If you divide them all (like 3/4) you get .75

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer:

33

Step-by-step explanation:

All triangle angles together add up to 180

So we can set up this equation to find angle z:

98 + 49 + z = 180

Now solve:

98 + 49 + z = 180

147 + z = 180

-147        -147

z = 33

Answer: 3.75

Step-by-step explanation:

P=0.50, n=15

np= 0.5x15 gives 7.5

n(1-p)= 15x(1-0.5)=7.5

Both are greater than 5

Then Mean, u=np;15x0.5=7.5

Standard deviation, √np(1-p)

15x0.5(0.5)= 3.75

Answer:

      5/2

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

    = (27-2)/(1 - -9)

    = (27-2)/(1+9)

    = 25/10

         5/2

The seventh partial sum of the series, rounded to three decimal places, is approximately 2.276.

To find the seventh partial sum of the series, we need to evaluate the sum of the first seven terms.

The series is given by:

4 + 5/3 + 2/7 + 6/15 + 11/31 + 20/63 + 37/127 + ...

To find the nth term of this series, we can use the formula:

a_n = (n^2 + n + 2)/(2n^2 + 2n + 1)

Let's find the first seven terms using this formula:

a_1 = (1^2 + 1 + 2)/(2(1^2) + 2(1) + 1) = 8/7

a_2 = (2^2 + 2 + 2)/(2(2^2) + 2(2) + 1) = 15/15 = 1

a_3 = (3^2 + 3 + 2)/(2(3^2) + 2(3) + 1) = 24/19

a_4 = (4^2 + 4 + 2)/(2(4^2) + 2(4) + 1) = 35/33

a_5 = (5^2 + 5 + 2)/(2(5^2) + 2(5) + 1) = 50/51

a_6 = (6^2 + 6 + 2)/(2(6^2) + 2(6) + 1) = 69/79

a_7 = (7^2 + 7 + 2)/(2(7^2) + 2(7) + 1) = 92/127

Now we can find the seventh partial sum by adding up the first seven terms:

S_7 = 4 + 5/3 + 2/7 + 6/15 + 11/31 + 20/63 + 37/127

To calculate this sum, we can use a calculator or computer software that can handle fractions. Let's evaluate this sum using a calculator:

S_7 = 4 + 5/3 + 2/7 + 6/15 + 11/31 + 20/63 + 37/127 ≈ 2.276

Therefore, the seventh partial sum of the series, rounded to three decimal places, is approximately 2.276.

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Answer:

m<1=88

Step-by-step explanation:

The two inside angles add up to the outside angle, so 44+44=88

The differential d y is  \(d y = ( 1 / 5 ) e^ ( x / 5 )dx\)  and when the values of x and dx are 0 and 0. 05 then the d y is equal to 0.01.

we have to find the differential of d y and Evaluate d y when the given values  of x and dx are 0 and 0. 05,

a) the differential d y,

\(y = e^(x/5)\)

differentiating the above equation with dx we get:

\(d y/dx = (1 / 5 ) e ^ ( x / 5 )\)

\(d y = ( 1 / 5 ) e^ ( x / 5 )dx\)

Therefore, the differential of d y is \(d y = ( 1 / 5 ) e^ ( x / 5 )dx\)

b) To evaluate d y for x = 0 and dx = 0.05, we substitute these values into the differential expression we found in part (a):

\(d y = ( 1 / 5 ) e^( x / 5 )dx\)

\(d y = ( 1 / 5 ) e^(0 / 5 )( 0.05 )\)

= (1/5) ( 1) (0.05)

= 0.01

Therefore, when x = 0 and dx = 0.05, d y is equal to 0.01.

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Answer:

Step-by-step explanation:

972,969,793,936 is the answer when the numbers and multiplied.

You have to multiply according to the different places you put the numbers in.

Hope this helped,

Kavitha Banarjee

789101112

Answer:

Step-by-step explanation:

Given is the quadratic function

In order to have two real roots the discriminant should be posivive

We need D > 0

There is no solution as b² is never negative

a) To differentiate the function w = 10(5 - 6n + n), we can simplify the expression and then apply the power rule of differentiation.First, simplify the expression inside the parentheses: 5 - 6n + n simplifies to 5 - 5n.

Now, differentiate with respect to n using the power rule: dw/dn = 10 * (-5) = -50. Therefore, the derivative of the function w = 10(5 - 6n + n) with respect to n is dw/dn = -50. b) To differentiate the function f(x) = √2, we need to recognize that it is a constant function, as the square root of 2 is a fixed value. The derivative of a constant function is always zero. Hence, the derivative of f(x) = √2 is f'(x) = 0. c) Given the function f(t) = 103 - 5xer, we need to find the values of t for which the derivative f'(t) is equal to zero.

To find the derivative f'(t), we need to apply the chain rule. The derivative of 103 with respect to t is zero, and the derivative of -5xer with respect to t is -5(er)(dx/dt). Setting f'(t) = 0 and solving for t, we have -5(er)(dx/dt) = 0.Since the exponential function er is always positive, we can conclude that the value of dx/dt must be zero for f'(t) to be zero.

Therefore, the values of t for which f'(t) = 0 are the values where dx/dt = 0.

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When the company produces 200 units, the marginal revenue for each additional unit remains constant at -$0.1.

a. The marginal revenue function represents the rate of change of revenue with respect to the number of units produced. It can be calculated by taking the derivative of the demand function, p(x).

To find the marginal revenue function, we need to differentiate the demand function p(x) with respect to x:

p'(x) = -0.1

Therefore, the marginal revenue function is constant and equal to -0.1.

In summary, the marginal revenue function in this case is a constant value of -0.1, indicating that for each additional unit produced, the revenue decreases by $0.1.

b. To calculate the marginal revenue when x = 200, we can directly substitute the value of x into the marginal revenue function.

Since the marginal revenue is constant in this case, it will remain the same regardless of the value of x.

Therefore, the marginal revenue when x = 200 is -0.1.

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The side length of the large frame is 4 inches longer than the side length of the small frame.

To find the difference in side lengths between the small square frame and the large square frame, we need to find the length of the sides of each frame.

Let x be the length of the side of the small square frame. Then, we know that the area of the small frame is 16 square inches.

Area of small frame = side length of small frame x side length of small frame = 16
\(x^2 = 16\)

Taking the square root of both sides, we get:
\(x = 4 inches\)

So, the length of the side of the small square frame is 4 inches.

Now, let y be the length of the side of the large square frame. We know that the area of the large frame is 64 square inches.

Area of large frame = side length of large frame x side length of large frame = 64
\(y^2 = 64\)

Taking the square root of both sides, we get:
y = 8 inches

So, the length of the side of the large square frame is 8 inches.

To find the difference in side lengths, we subtract the length of the small frame from the length of the large frame:
\(y - x = 8 - 4 = 4\)

Therefore, the side length of the large frame is 4 inches longer than the side length of the small frame.

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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Answer:

we dont know an exact but

Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean

Step-by-step explanation:

Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.

Answer:

over 1 million

Step-by-step explanation:

i answered this question a while ago

Answer:

Step-by-step explanation:

171 just multiply it by 6 since 3 times 6 equals 18

Answer:

171.00 dollars

Step-by-step explanation:

28.50÷3=9.50

9.50= 1 hour

9.50×18=171.00

Age of Mike when he is one and a half times as old as his brother is, 3 years old.

We have,

Mike, six years old, is twice as old as his brother.

Hence,

Mike = 6 years

His brother = 6/2 = 3 years

Condition for when he is one and a half times as old as his brother,

6 + x = 1.5 (x + 3)

Where, x is age of mike when he is one and a half times as old as his brother.

Solve for x,

6 + x = 1.5x + 4.5

1.5x - x = 6 - 4.5

0.5x = 1.5

x = 1.5 / 0.5

x = 3 years

Therefore, Age of Mike when he is one and a half times as old as his brother is, 3 years old.

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