Jane's family has completed 35% of a trip. They have traveled 42 miles. How long is the trip.

A. 1,200
B. 1,470
C. 14.7
D. 120

Answer:

268 adult and 292 student tickets sold

Step-by-step explanation:

a = number  adult tickets sold

s =  number student tickets sold

a + s = 560

8a + 3.50s = 3166

a = 268 adult tickets

s = 292 student tickets

Answer:

Okay so I think it\s -93.5, try it. Tell me if it works, hope this helps!

Step-by-step explanation:

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

the height of a pebble stuck in the tread of a tire

Step-by-step explanation:

hope it helps. make the brainliest

Answer:

the height of a flag on one blade of a windmill, the height of a ball suspended from a spring

Step-by-step explanation:

edge2020

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

The set of parameters that would give this person the worst grade on the exam relative to others is µ = 70 and σ = 5. This can be found using z-score. The correct option is option c).

To determine which set of parameters would give this person the worst grade on the exam relative to others, we need to find the z-score for the score of 65 under each set of parameters and see which one is the lowest. The z-score is a measure of how many standard deviations a particular value is from the mean.

The formula for calculating the z-score is:

z = (x - µ) / σ

where x is the score, µ is the mean, and σ is the standard deviation.

a. µ = 60 and σ = 5

z = (65 - 60) / 5 = 1

b. µ = 70 and σ = 10

z = (65 - 70) / 10 = -0.5

c. µ = 70 and σ = 5

z = (65 - 70) / 5 = -1

d. µ = 60 and σ = 10

z = (65 - 60) / 10 = 0.5

The lowest z-score is -1, which corresponds to option c. This means that most people scored higher than 65, and those who scored lower did so by a smaller margin.

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the turning point(s) of a polynomial function by using below steps

To find the turning point of a polynomial function, follow these steps:

1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).

2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.

3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.

4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.

5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).

6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.

By following these steps, you can find the turning point(s) of a polynomial function.

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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.

The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.

The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.

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To write an exponential function in the form y = ab^x that passes through the given points (0, 7) and (5, 1701), we can use these points to find the values of a and b.

Let's start by substituting the coordinates of the first point (0, 7) into the equation:

7 = ab^0

7 = a

So we have determined that a = 7.

Now, let's substitute the coordinates of the second point (5, 1701) into the equation:

1701 = 7b^5

To isolate b, we can divide both sides of the equation by 7:

1701/7 = b^5

Now, we can simplify the left side of the equation:

243 = b^5

Taking the fifth root of both sides, we find:

b = 3

Therefore, we have determined that a = 7 and b = 3.

Putting it all together, the exponential function that goes through the given points is:

y = 7 * 3^x

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Answer: he will be able to make 19 full pieces

Step-by-step explanation:

1. Start off by making 7 feet into 84 inches so the measurements can match.

2. Add 4/14 inches and the 1/8 a inch together so you know how much is being taken off 84 inches. The amount will be 35/8 inches.

3. Divide 84 inches by 35/8 inches = 19 1/5

4. The whole number of the answer will be how many boards you can make from the board.

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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The probability to get the combination (black, black, red, white, white) from the urn without replacement is 0.5994. The probability to get the sequence (2, 6, 4, 9, 13) is 0.000333.

It is given that there are:-

The combination given is  [Black, Black, Red, White, White]

Let A be the event to draw out the chips in the combination [Black, Black, Red, White, White]

Probability = no. of favorable outcomes / Total no. of outcomes

Since there are 6 white chips, 4 black chips, and 5 red chips the no. of ways to select-

Therefore, n(A) = 4 X 3 X 5 X 6 X 5

=  1800

Total no. of ways to select 5 chips = ¹⁵C₅ = n

= 15!/ 10! X 5!

= 3003

Therefore, P(A) = 1800/3003

= 0.5994

Since there exists only one chip of each no. from 1 to 15, there is only one way to get (2, 6, 4, 9, 13)

Let B be the event to get the combination (2, 6, 4, 9, 13) without replacement

Hence, P(B) = n(B)/ n

= 1/3003

= 0.000333

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Answer:

<U=70

Step-by-step explanation:

Straight line=180 degrees

180-120

=60

So, we have 2 angles.

60 and 50

180=60+50+x

180=110+x

70=x

So, U=70

Hope this helps! :)

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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Answer: They both buy monthly passes.

Step-by-step explanation: Let's first calculate how much Alia and Matthew would pay if they both bought individual bus fares for the number of times they plan to ride the bus:

Alia: 25 rides x $2.35 per ride = $58.75

Matthew: 18 rides x $2.35 per ride = $42.30

Now let's see how much they would pay if they both bought monthly passes:

Alia: $45.75

Matthew: $45.75

Since the cost of buying individual bus fares is more than the cost of buying monthly passes, it would be more economical for both Alia and Matthew to buy monthly passes.

Therefore, yes, they both should buy monthly passes.

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Answer:

5.75 feet tall

Step-by-step explanation:

8 is not a perfect number as sum of its proper divisors is not equal to 8.

A perfect number is a positive integer that is equal to the sum of its proper divisors, which are the divisors of the number excluding the number itself. In other words, a perfect number is a number that can be written as the sum of its divisors, excluding itself.

For example, the number 6 is a perfect number because its divisors are 1, 2, and 3, and 1+2+3 = 6.

8 is not a perfect number because it is not equal to the sum of its proper divisors. The divisors of 8 are 1, 2, 4, and 8, and 1+2+4 = 7, which is less than 8.

Therefore, 8 is not a perfect number. To this date, only 49 known perfect numbers have been found, they are all even numbers and the largest known perfect number is 2^(74,207,281) − 1, it has over 22 million digits.

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The pair of points represent a 180 rotation around the origin is D. '(-7, 2)

In order to determine if a pair of points represents a 180-degree rotation around the origin, we need to check if the second point is the reflection of the first point across the origin. In other words, if (x, y) is the first point, the second point should be (-x, -y).

When a point is rotated 180 degrees around the origin, the x-coordinate and y-coordinate are both negated. In other words, the point (x, y) becomes the point (-x, -y).

In this case, the point (7, -2) becomes the point (-7, 2). This is the only pair of points where both the x-coordinate and y-coordinate are negated.

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Hello User!

Answer:

about 3 teacher

10 tutors

Step-by-step explanation:

 114 divided by 6=19

meaning 1 teacher equal 19 student

50 divided by 19=2.6 so about 3 teacher.

so 114 divided by 5=22.8

5 tutor for every 50 student so 1 tutor equal 10 student

The monthly average rate of change in price between May and August is -4.

To find the monthly average rate of change in price between May and August, we need to calculate the average rate of change for each consecutive pair of months within that period and then find the average of those rates.

The formula for calculating the average rate of change between two points (x1, y1) and (x2, y2) is:

Average Rate of Change = (y2 - y1) / (x2 - x1)

Let's calculate the average rate of change between May and August:

Rate of Change between May and June:

(89 - 107) / (2 - 1) = -18

Rate of Change between June and July:

(100 - 89) / (3 - 2) = 11

Rate of Change between July and August:

(95 - 100) / (4 - 3) = -5

Now, let's find the average rate of change by taking the average of the above rates:

Average Rate of Change = (-18 + 11 + (-5)) / 3 = -4

Therefore, the monthly average rate of change in price between May and August is -4.

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If the building itself will be used as one of the sides of the enclosed area. The maximum area that can be enclosed by the fencing is: 31,250ft².

Let the area be x ft long

Let the width be (500 -x )/2

Hence,

x × (500 - x)/2 = -1/2x² + 250x

When,

x = 250

So,

Maximum area =-1/2 × 250² +250 ×250

Maximum area = -31,250ft + 62,500ft

Maximum area = 31,250ft²

Therefore 31,250ft² is the maximum area.

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For each b in rm, the equation ax d b has at most one solution. This is due to the fact that the matrix a has n pivot columns, which means that the rows of a are linearly independent. This means that there is no redundant information in the system of equations represented by the matrix a.

if there were infinitely many solutions to the equation ax d b, then there would be a linear combination of the rows of a that would equal the zero vector This would mean that there is redundant information in the system, which contradicts the fact that a has n pivot columns.

Therefore, since there is no redundant information in the system represented by the matrix a, there can only be one solution to the equation ax d b for each b in rm.

the number of pivot columns in a matrix determines the number of solutions to the equation ax d b for each b in rm. If a matrix has n pivot columns, then there is only one solution to the equation ax d b for each b in rm.

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The probability of drawing an ace from the second deck is 1/13. Given that an ace was drawn from the second deck, the conditional probability that an ace was transferred is 1/17.

Probability that the second card is an ace:

There are initially 4 aces in the second deck.

The total number of cards in the second deck is 52.

Therefore, the probability of drawing an ace is 4/52.

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 4/52

Probability = 1/13

Conditional probability that an ace was transferred, given that an ace was drawn from the second deck:

Since an ace was drawn from the second deck, we know that the second card is one of the four aces.

There was initially one card transferred from the first deck to the second deck, so there are now 51 cards left in the second deck.

Out of these 51 cards, only 3 are aces (since one ace has already been drawn).

Conditional Probability = Number of favorable outcomes / Total number of remaining outcomes

Conditional Probability = 3/51

Conditional Probability = 1/17

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The face of the rhombus ( length of one side) is found to be 13 cm.

A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.

As per the given question;

The circumference of the rhombus is 52 cm.

Let us consider the one side of the rhombus is of length 'x'.

As, we known that the sides of the rhombus are equal.

Thus,

4x = 52

x = 52/4

x = 13.

Therefore, the face or the length of the one side of the rhombus is found as 13 cm.

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Answer: B

Step-by-step explanation:

Multiply exponents by the square:

-2 x -8 = 16

3 x -2 = -6

So...

3^16 x 7^-6

Answer: The number of dollars it costs to drive the car 20 miles.

Step-by-step explanation:

The function c(x) models the cost for renting a car for driving it ‘x’ miles.

c(20) would represent the cost of driving a car 20 miles since c represents cost and x represents the miles driven

Answer:

n = 8

Step-by-step explanation:

2n + 1.6 = 17.6

Subtract 1.6 from each side.

2n + 1.6-1.6 = 17.6-1.6

2n = 16

Divide by 2.

2n/2 = 16/2

n = 8

Answer:

Step-by-step explanation:

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.

Answer:

Step-by-step explanation:

Coterminal angles have a difference of 360° or multiples of 360°.

Negative coterminal angle with 30° is: