The high school took two field trips to the Newport Aquarium many many years ago. They used school buses and vans to transport all the students. On the first trip there were 3 vans and two buses with 122 students. The second trip was more popular, with 5 vans and 3 buses, carrying 189 students. Use a system of equations to determine the number of students that a van and a bus can carry

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Answer:

Step-by-step explanation:

Here is the complete question.

Maria and Franco are mixing sports drinks for a track meet. Maria uses 2/3 cup of powdered mix for every 2 gallons of water. Franco uses 1 1/4 cups of powdered mix for every 5 gallons of water. Which sports drink is stronger?

For us to get the stronger drink, we will need to calculate the amount of cup  of mix  in one gallon of water for both Maria and Franco.

For Maria:

Maria uses 2/3 cup of powdered mix for every 2 gallons of water

2/3 cup of mix = 2 gallons of water

x cup of mix = 1 gallon of water

cross multiply

2 * x = 2/3 * 1

2x = 2/3

6x = 2

x = 2/6

x = 1/3

Hence Maria mixed 1/3 (33.3%) cup of powdered mix in a gallon of water

For Franco:

Franco uses 1 1/4 cup of powdered mix for every 5 gallons of water

5/4 cup of mix = 5 gallons of water

x cup of mix = 1 gallon of water

cross multiply

5 * x = 5/4 * 1

5x = 5/4

20x = 5

x = 5/20

x = 1/4

Hence Maria mixed 1/4 cup of powdered mix (25%) in a gallon of water.

Based on the percentage per gallon of water, Maria sport drink is stronger.

Answer:

45 min

Step-by-step explanation:

look on z-score table for the value .900

closest on my table is z-score + 1.28

   this is 1.28 S.D. above the mean

          36 + 1.28 * 7 = ~ 45 min

Answer:

\(5^6\)

Step-by-step explanation:

Answer:

I believe the answer would be 5^6

By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.

The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.

The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.

The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.

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Answer:

Step-by-step explanation:

Don’t know

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

The two consecutive integers from the equation are 5 and 6.

We have,

Two consecutive integers:

x and  (x + 1)

To solve for the integers, you need to use the equation you found and solve for x:

x (x + 1) = 3 (x + x + 1) - 3

Simplifying:

x^2 + x = 6x + 3 - 3

x^2 - 5x = 0

Now you can factor out x:

x(x - 5) = 0

So,

x = 0 or x = 5.

Two consecutive integers,

x can't be 0. So the first integer is 5, and the next consecutive integer is 6.

Therefore,

The two consecutive integers are 5 and 6.

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The length of the large base of the trapezoid is 18cm.

An isosceles trapezoid is simply a convex quadrilateral having a line of symmetry equally dividing one pair of opposite sides.

Given the data in the question

Let the large base be represented by 'x'

The perimeter of the trapezoid is the sum of all the sides of all its sides.

Perimeter = side a + side b + side c + side d

Hence;

43 = x + ( x - 11 ) + 9 + 9

Solve for x

43 + x + x - 11 + 18

43 = 2x + 7

43 - 7 = 2x

36 = 2x

2x = 36

x = 36/2

x = 18

Hence;

Large base = x = 18cm.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The values of Cos Ø is always positive in the Quadrant IV.

Answer:

3

Step-by-step explanation:

72/4=18 18-3=15 15/5=3

If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.

Let's break down the problem step by step to find the number.

First, we start with a variable to represent the unknown number. Let's call it "x".

The problem states that "3 added to five times a number," which can be expressed as 5x + 3.

Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).

Finally, the problem states that "the final result is 72," so we set the equation equal to 72:

4(5x + 3) = 72

To solve for x, we simplify the equation:

20x + 12 = 72

Next, we subtract 12 from both sides:

20x = 60

Finally, we divide both sides by 20:

x = 3

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Answer:D

Step-by-step explanation:

-2w-7w+10-5

-9w+5 or 5-9w

Answer:

The answer is D .

-9w +5 is the same as 5-9w

Answer: He will practice both on every 15 days.

Step-by-step explanation:

Given: Jaquan practices soccer every 3 days.

He practices basketball every 5 days Jaquan practiced both today.

The number of days until he practices both = Least common multiple of 3 and 5

= 3 x 5    [Both are primes]

= 15

Hence, he will practice both on every 15 days.

For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

As given in the question,

Given:

Line segment AB with coordinates A( 4,5) and B(12, 9)

Line segment AB divided by point P in the ratio AP : PB = 3: 1

Let (x ,y) be the coordinates of point P .

Coordinates of A(4,5) = ( x₁, y₁)

B(12,9) = (x₂ , y₂)

Ratio m : n = 3 : 1

Coordinates of point P is given by:

x = (mx₂ + nx₁)/ ( m+ n)

  = [3(12) + 1(4)] / (3+1)

  = ( 36 +4)/ 4

  = 40 /4

  = 10

x = (my₂ + n y₁)/ ( m+ n)

  = [3(9) + 1(5)] / (3+1)

  = ( 27 +5)/ 4

  = 32/4

  = 8

P(x ,y) = P(10, 8)

Therefore, For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

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Answer:

1)

\(ac = 4 \sqrt{3} \)

2)

\(ab = 8\sqrt{3} \)

3) BC = 12

4) the perimeter is

\(12 + 12 \sqrt{3} \)

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Step-by-step explanation:

starting point :

9 am -8.4°F

from 9 am to 12pm the temperature increased by 2.6°F.

12 pm -8.4 + 2.6 = -5.8°F

from 12pm to 3pm the temperature increased by 1.2°F.

3 pm -5.8 + 1.2 = -4.6°F

from 3pm to 6pm the temperature decreases by 9.9°F.

6 pm -4.6 - 9.9 = -14.5°F

we could have done the short approach.

the temperature changed overall by

2.6 + 1.2 - 9.9 = 3.8 - 9.9 = -6.1°F

and so, the final temperature was

-8.4 + -6.1 = -8.4 - 6.1 = -14.5°F

Considering the described changes, the temperature at 6 pm was of -14.5ºF.

We look at the temperature for each interval, as follows:

Between 3pm and 6pm, the temperature went down 9.9°F, hence at 6 pm, the temperature was given as follows:

-4.6ºF - 9.9ºF = -14.5ºF.

The temperature at 6 pm was of -14.5ºF.

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Answer:

Rectangular pyramid : Faces, Vertices, Edges = 5 , 5 , 8 respectively

Step-by-step explanation:

Rectangular pyramid is a 3D shape, with base as rectangle & triangle face corresponding to each side of base (on the top)

Faces = 5 { 1 rectangular base face , 4 triangular faces above}

Vertices = 5 { 4 vertices of rectangle, 1 vertice on top - where triangles' tips intersect}

Edges = 8 {4 edges of rectangle at base , 4 edges of triangles above}

Answer:

b. 5, 5, 8

Step-by-step explanation:

i did the assignment and this was the correct answer <3

Answer: 2(8-c)

Step-by-step explanation:

First take our given numbers

16-2c

Now we must factor out the constants

We do that by dividing by 2

2(8-c)

The pounds of meat required for the party by Sam is equal to 378pounds.

Total number of hamburgers required for the party = 14

Each hamburger requires 2 7 pounds of meat.

Then to find the total amount of meat needed for 14 hamburgers,

Multiply the amount of meat per hamburger by the number of hamburgers

Total pounds of meat required for the party

= (amount of meat per hamburger) x (number of hamburgers)

⇒ Total pounds of meat required for the party = 2 7 pounds/hamburger x 14 hamburgers

⇒ Total pounds of meat required for the party = 378 pounds

Therefore, Sam needs 378 pounds of meat in total for the party.

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The above question is incomplete, the complete question is :

Sam is having a party and he will make 14 hamburgers. Each hamburger requires 2 7 pounds of meat. How much meat does Sam need in total for the party?

The accuracy value of the confusion matrix is 92% .

In the field of machine learning, specifically the problem of statistical classification (in unsupervised learning, it is typically referred to as a matching matrix), a confusion matrix, also known as an error matrix, is a specific table structure that enables visualizing the performance of an algorithm.

The literature describes both iterations of the matrix, where each row represents instances in an actual class and each column represents instances in a predicted class. Since it is straightforward to tell whether the system is combining two classes, the name was chosen (i.e. commonly mislabeling one as another).

accuracy is given by the formula :

Accuracy(%) = (true positive + true negative)/(positive + negative)

Here TP true positive =50

and TN true negative is 42

hence accuracy = (50+42) / (1+0)  %

Accuracy = 92%

Therefore the accuracy value of the confusion matrix is 92% .

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the area of the surface of this design is 31 in long

Answer:

392 inches²

Step-by-step explanation:

10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(6 inches + 4 inches) × 6 inches = 10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(10 inches × 6 inches) + (4 inches × 4 inches) = 60 inches² + 16 inches² = 76 inches²

76 inches² × 2 = 152 inches²

----------------------------------------------------------------------------------------------------------

Add them all together ~

120 inches² + 120 inches² + 152 inches² = 392 inches²

Answer:

The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

Step-by-step explanation:

As given,

The backward is rectangular in shape

Also , we know that

Area of rectangle = 2 ( Length + Breadth )

Also, given,

Breadth of the backyard = 5.2 + Length of the backyard

Let

length of the backyard = l

Breadth of the backyard = w

∴ we get

w = 5.2 + l

⇒l = w - 5.2

and

Area = 2 ( l + w)

⇒51 = 2( w - 5.2 + w)

⇒51 = 2 ( 2w - 5.2)

⇒51 = 4w - 10.4

So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

By solving we get

4w = 51 + 10.4

⇒4w = 61.4

⇒w = \(\frac{61.4}{4}\) = 15.35

⇒ w = 15.35

⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15

⇒l = 10.15

So the dimensions of the backyard = l × b = 10.15 m × 15.35 m

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer:

A

Step-by-step explanation:

Given that ZP = 120° and Q = 45° in triangle PQR, we need to find the measure of angle R.


In triangle PQR, we are given that ZP (angle P) is equal to 120° and Q (angle Q) is equal to 45°. We need to determine the measure of angle R.

The sum of the angles in any triangle is always 180°. Therefore, we can use this property to find the measure of angle R. We have:

Angle R = 180° - (Angle P + Angle Q)
= 180° - (120° + 45°)
= 180° - 165°
= 15°.

Hence, the measure of angle R in triangle PQR is 15°. Therefore, the correct answer is option (a) 15°.

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Answer:

the 1st one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Glados Brown's net pay per month, rounded to the nearest cent is $2,279.93.

The net pay is difference between the gross pay or total earnings for the period and the total taxable deductions.

The net pay is also described as the take-home pay or earnings.

Glados Brown

Gross Pay                  $2,978.39

Medicare                        $73.00

Social Security (5%)     $148.92 ($2,978.39 x 5%)

Federal Withholding

 Income Tax (16%)      $476.54 ($2,978.39 x 16%)

Total deductions        $698.46

Net Pay                   $2,279.93 ($2,978.39 - $698.46)

Thus, we can conclude that at end of each month, Glados Brown will take home (net pay) $2,279.93.

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