Finding angle measures of a triangle given two angles of a similar triangle

Answer:

25 minutes

150 gallons

Step-by-step explanation:

Definition of variables

Let t = time in minutes

Let V = volume in gallons

Create two equations with the given information:

Pool A

⇒ V = 300 - 6t

Pool B

⇒ V = 400 - 10t

To find after how many minutes the two pools will have the same amount of water, substitute the equation for pool A into the equation for pool B and solve for t:

⇒ 300 - 6t = 400 - 10t

⇒ 300 - 6t + 10t = 400 - 10t + 10t

⇒ 300 + 4t = 400

⇒ 300 + 4t - 300 = 400 - 300

⇒ 4t = 100

⇒ 4t ÷ 4 = 100 ÷ 4

⇒ t = 25

Therefore, the two pools will have the same amount of water after 25 minutes.

To find how much water will be in the pools at that time, substitute the found value of t into one of the equations and solve for V:

⇒ V = 400 - 10t

⇒ V = 400 - 10(25)

⇒ V = 400 - 250

⇒ V = 150

Therefore, the amount of water in the pools at the time when they have the same amount of water is 150 gallons.

If time be x and volume be y

The equations are

Equate and solve

Now

The formula to convert from milligrams to milliliters is mL = mg/1000 because there must be 1,000 milligrams in a milliliter.

Whereas a milligram (mg) is a unit of mass, a millimeter (mm) is a unit of length. There is no direct translation between these two units since they measure distinct things.

The mass in milligrams of a volume of a given substance with all dimensions equal to 1 millimeter can, however, be determined if you are requesting information on a specific substance and its density.

Given that there are 1000 cubic millimeters (mm3) in one cubic centimeter, if the material in question does have a density of 1 gram per cubic centimeter (g/cm3), for instance, a 1 mm3 volume of the material would have a mass of 1 milligram (mg).

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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The value of √150 is 5√6.

What is square root?

A number y such that y2 = x, or a number y whose square is x, is referred to as the square root of a number x in mathematics. For instance, since

4^2 = (-4)^2 = 16, 4 and -4 are the square roots of 16.

Consider the given expression, √150

150 can be written as, 150 = 25 x 6

√150 = √(25 x 6)

Here 25 is a perfect square,

25 = 5^2

So,

√150 = √(5^2 x 6)

Since √5^2 = 5

Therefore, √150 = 5√6.

So, fourth option is correct.

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Answer:

\(\dfrac{1}{2}\)

Step-by-step explanation:

Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Multiples of 3 are: {3, 6, 9, 12}

Multiples of 4 are: {4, 8, 12}

To find the multiple of 3 or 4, we need to find the union of the above two sets.

Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}

Number of multiples of 3 or 4 = 6

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here, number of favorable cases are 6 and

Total number of cases are 12.

Therefore the required probability is:

\(P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}\)

Answer:

Step-by-step explanation:

12y-19= 6y+1

12y-6y = 1 +19

6y = 20

y = 20/6

y= 10/3 or 3.33..

Answer:

If you wanted to know how much songs Maxwell will have to play to pay the fee to play there, ($50 dollars)  he will have to play 5 songs.

Step-by-step explanation:

The question to the awnser is how much can 10 go into 50. That means you have to divide 50 by 10. You can put 10 5 times into 50, and you can make sure of that by timing 10 by 5. I have no idea though what you need. Sorry if im saying somthing different than wht you want.

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

Based on the given options, the most appropriate answer would be: b. He points to these tragedies as evidence to support his claim.

Elie Wiesel lists various international tragedies in the passage to provide evidence and support for his claim. By referring to these tragedies, he aims to emphasize the devastating consequences of indifference and highlight the importance of taking action to prevent such atrocities from happening again. The purpose is not to provide a history lesson, showcase his intelligence, or present evidence that indifference is not that bad, but rather to strengthen his argument against indifference through real-world examples.

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Answer:

58°

Step-by-step explanation:

A + B + C = 180 °

The smallest value of C is 91.

A + B = 89

A = 2B - 4

2B - 4 + B = 89

3B - 4 = 89

3B = 93

B = 31

A + 31 = 89

A = 58

Answer:

(0, -8)

Step-by-step explanation:

The distance must be equal from C to A and points B to D.

Ram will cover a distance of 25 km in 100 min.

We have,

Ram covers 5 km in 20 min.

Distance covered in 1 minute

= 5 km ÷ 20 min

= 0.25 km/min

Distance Ram will cover in 100 min:

= 0.25 km/min × 100 min

= 25 km

Therefore,

Ram will cover a distance of 25 km in 100 min.

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Answer:

i think the answer is y-x=15 and 25+2x=y

Answer:

The angles are complementary angles because they are 90

Step-by-step explanation:

Answer:

Complementary, since it is 90 degrees.

x = 10

Step-by-step explanation:

6x + 1 = 61

6x = 60

x = 10

Hope that helps!

Using concepts of linear functions, it is found that:

The slope-intercept representation of a linear function is:

y = mx + b.

In which:

Two linear functions have the same value when they intersect each other, hence, from the graph given at the end of the answer, they intersect around point (3,65), meaning that they will have the same profit after 3 years, and this profit will be of $65,000.

From the Graph, as it assumes higher values as n goes to infinity, company B has the higher slope, hence it's profit is growing more quickly.

The graph is missing, and is given by the image at the end of the answer.

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The graph of the quadratic function y = 0.75x² is given by the image at the end of the answer.

The notation y = 0.75x² is already in vertex form, meaning that the function was vertically compressed by a factor of 3/4 from the original graph.

The definition of a quadratic equation with vertex (h,k) is given as follows:

y = a(x - h)² + k.

In which a represents the leading coefficient of the quadratic function.

In this problem the coordinates of the vertex are:

(0,0).

Hence the parameters are:

h = 0, k = 0.

Thus the equation is:

y = ax².

When x = -2, y = 3, hence the leading coefficient is given as follows:

3 = a(-2)²

4a = 3

a = 3/4

a = 0.75.

Hence the equation is:

y = 0.75x².

The multiplication by 0.75 means that the parent function y = x² is vertically compressed by a factor of 0.75.

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Answer:

View Picture

Step-by-step explanation:

Answer:

Associative Property

Step-by-step explanation:

The associative property lets us change the grouping, or move grouping symbols (parentheses).

Answer:

B. 1 and 10

Step-by-step explanation:

*The box plots are shown in the attachment

Answer/Step-by-step explanation:

Range is the difference between the largest value of a data set and the lowest value in that data set.

In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.

For Crackers, the range = 100-70 = 30

For Cookies, the range = 115-70 = 45

Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).

Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

336

Step-by-step explanation:

We know that a cube has 6 faces which means we can use this equation:

56 x 6 = 336

336 square inches is the answer.

Perimeter=56in

So area of one side=

Cube has 6sides

So total protection:-

Independent events are events that are not affected by the occurrence of other events. That is, the probability of one event occurring does not change depending on whether the other event has occurred.

There are 26 black cards in a 52 card deck, so the probability of picking a black card is 26/52. A 52-card deck has 12 face cards, so the probability of picking a face card is 12/52. To determine whether these events are independent, we need to calculate the probability of both events occurring and compare it to the product of the probabilities of each event.

The probability of picking a black face card is the number of black face cards divided by the total number of cards, which is 6/52. The product of the probability of choosing a black card and a picture card is (26/52) * (12/52) = 312/2704. Since 312/2704 is not equal to 6/52, the event of choosing a black card and the event of choosing a face card are not independent.

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The statement is false. When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are "statistically significant".

However, this does not mean that the results are proven to be true with absolute certainty, but rather that they are highly likely to be true based on the available evidence.

"Independent" refers to a situation where two variables are not related or affected by each other, and this term is not directly related to statistical significance.

"Critically accepted" is not a commonly used term in statistics.

When a relationship between two interval ratio variables changes direction, it is referred to as a "nonlinear" or "curvilinear" relationship.

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If you account for 64% of the variability for one variable with another variable, the correlation coefficient found is 0.8, indicating a strong positive linear relationship between the two variables. So, the correct answer is B).

The correlation coefficient measures the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1. If you conducted a study where you could account for 64% of the variability for one variable with another variable, you have found a correlation coefficient of the square root of 0.64, which is:

r = sqrt(0.64) = 0.8

Therefore, a correlation coefficient of 0.8 indicates a strong positive linear relationship between the two variables, and it suggests that there is a high degree of predictability in the relationship between them. So, the correct option is: B) 0.80.

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(a)The probability that the friend is between 25 and 30 minutes late is 1/2.

(b) It is 10 A.M. There is a 10% probability the friend will arrive within 1 minute.

What is probability?

Uniform distribution

a = 0

b = 10

a) P(friend is between 25 and 30 minutes late) = (30 - 25)/(b - a)

= 5/(10-0)

= 1/2

b) Let the time for arrival be A minutes

(A - 0)/(b-a) = 0.10

A = 0.10 x (10 - 0)

A = 1 minute

Hence, The probability that the friend is between 25 and 30 minutes late is 1/2 and It is 10 A.M. There is a 10% probability the friend will arrive within 1 minute.

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Answer:

B. ∠BAC

Step-by-step explanation:

The angle opposite the largest side has the largest angle.