Baker School's hockey games are 60 minutes long. Nico played for 30 minutes of the last game. What percent of the game time did Nico play?
Pick the model that represents the problem.

Answer:

To simplify this expression, we need to combine like terms. To do that, we need to combine terms that have the same variables raised to the same powers.

First, we will combine the terms in the first set of parentheses:

(4m²n² + 6m²n)

We see that the terms have the same variables, m and n, and the same powers, 2 and 1, respectively. We can combine these terms by adding their coefficients:

(4m²n² + 6m²n) = (4 + 6)m²n = 10m²n

Next, we will combine the terms in the second set of parentheses:

(8m²n^ - 7m²n² - 13m²n)

In this case, we see that the first two terms have the same variables and powers, so we can combine them by adding their coefficients:

(8m²n^ - 7m²n² - 13m²n) = (8 - 7)m²n^ - 13m²n = m²n^ - 13m²n

We can then combine the remaining term with the first term in the expression:

m²n^ - 13m²n + 10m²n = m²n^ + (-13 + 10)m²n = m²n^ - 3m²n

Finally, we will combine the terms in the third set of parentheses:

(14m²n - 2m^n² + 9m²n)

In this case, we see that the first two terms have the same variable and power for the m variable, but the powers of the n variable are different. Since we cannot combine these terms, we will need to leave them as is. We can, however, combine the remaining term with one of the other terms:

(14m²n - 2m^n² + 9m²n) = 14m²n - 2m^n² + (9 + (-14))m²n = 14m²n - 2m^n² - 5m²n

We can then combine this expression with the previous one:

14m²n - 2m^n² - 5m²n + m²n^ - 3m²n = (14 - 1)m²n - 2m^n² - (5 - 3)m²n = 13m²n - 2m^n² - 2m²n

Finally, we have simplified the expression as much as possible:

(4m²n² + 6m²n) - (8m²n^ - 7m²n² - 13m²n) - (14m²n - 2m^n² + 9m²n) = 13m²n - 2m^n² - 2m²n

Answer:

c(10) = 4

Step-by-step explanation:

Explanation:

A relation is a function if every value of x is related to just one value of y.

So, number 6 is not a function because -4 is related to 9 and -4 is also related to 0.

Number 7 is a function because every value of x (first coordinate) is related to one value of y (second coordinate).

In the same way, we can say that number 8 is also a function and number 9 is not a function because number 7 is related to 0, -5, -8, 4, and 3.

Finally, for the graph of numbers 10, 11, and 12 we need to identify the coordinates of every point.

So, number 10 is equivalent to:

{(-7, -1), (-2, -7), (0, 2), (4, 2), (6,6)}

It means that number 10 is a function

For number 11, we get:

{(-5, -4), (-3, 5), (2, -1), (2

When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.

From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.

It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.

Therefore, the number of flags is 40.

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Answer:

x = 48°

Step-by-step explanation:

Complementary angles

Angles that sum to 90°.

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent (equal).

Therefore, angle x is equal to the angle that is complementary to 42°.

To find x, subtract 42° from 90°:

⇒ x = 90° - 42°

⇒ x = 48°

Answer: The answer is B:350

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Got it right

Answer:

1 penny

Step-by-step explanation:

It would take 1 penny. A penny is taller than 1 centimeter anyway.

Answer:

3 cm

Step-by-step explanation:

First, we have to understand what happens if two shapes are similar. When two shapes are similar, the angles are equal in both. This means the sides will be in the same ratio from one shape to another.

\(\frac{7.2}{t}=\frac{9.6}{4}\)

Using the equation above, we can find t. We use cross multiplication (ad = bc)

7.2 * 4 = 9.6t

9.6t = 28.8

t = 3 cm

Answer:

-4x^2 -3x - 5

Step-by-step explanation:

-4x^2 + 2x - 5(1 + x)

Distribute

-4x^2 + 2x - 5 -5x

Combine like terms

-4x^2 -3x - 5

Answer:

82%

Step-by-step explanation:

Total amount of laps =

18×50=900

so

738/900×100=82

Answer: Yes, your calculation of P(A1 OR A2 OR A3) is correct.

Step-by-step explanation: Your calculation of P(A1 OR A2 OR A3) is correct.

To calculate P(X=2), you can use the formula:

P(X=2) = P(A1 AND A2 AND NOT A3) + P(A1 AND A3 AND NOT A2) + P(A2 AND A3 AND NOT A1)

This is because to have precisely two defects, we need two events A1, A2, and A3 to occur and one not to occur.

You cannot simply sum the intersections P(A1 AND A2) + P(A2 AND A3) + P(A1 AND A3) and subtract P(A1 AND A2 AND A3) to get P(X=2), because this will overcount the cases where all three defects occur together.

Instead, you can use the formula above, and note that:

P(A1 AND A2 AND NOT A3) = P(A1 AND A2) - P(A1 AND A2 AND A3)

P(A1 AND A3 AND NOT A2) = P(A1 AND A3) - P(A1 AND A2 AND A3)

P(A2 AND A3 AND NOT A1) = P(A2 AND A3) - P(A1 AND A2 AND A3)

Substituting these into the formula, we get:

P(X=2) = (P(A1 AND A2) - P(A1 AND A2 AND A3)) + (P(A1 AND A3) - P(A1 AND A2 AND A3)) + (P(A2 AND A3) - P(A1 AND A2 AND A3))

which gives us the correct answer for P(X=2).

3.51 percent of soda cans would have a volume less than 11.8 fl oz.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\Where\ x\ is\ raw \ score,\mu=mean,\sigma=standard\ deviation\\\\\\Given\ that\ \mu=12,\sigma=0.11:For\ x<11.8\\\\z=\frac{11.8-12}{0.11}=-1.81\\\\\)

From the normal distribution table, P(x < 11.8 ) = P(z < -1.81) = 0.0351 = 3.51%

Therefore, 3.51 percent of soda cans would have a volume less than 11.8 fl oz.

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1 yard = 3 feet

So:

20 yards = 20 x 3 = 60 feet

She says is 720 feet long

She is wrong

Answer:

Non-Random Sample

Step-by-step explanation:

A sample in which each element has an equal chance of being selected is known as a random sample. Otherwise, a sample is said to be a non - random sample.

An engineer selects five cameras on Monday, Tuesday, and Wednesday at random between 3 pm and 4 pm each day. So, the cameras that are not in the process of production between 3 pm and 4 pm have no chances of being selected.

So, each camera does not have an equal chance of being selected.

This is an example of a non - random sample.

It is a right triangle because has a right angle(90°)

then we can apply trigonometric ratios

for example if I use tangent

where alpha is the reference angle, O the opposite side from the angle and A the adjacet side of the angle different to the hypotenuse

if I use y as reference angle, we replace

then I solve for y

value of y is 53.43°

if I use x as reference angle, we replace

Value of x is 36.57°

a) In the long run, he makes 53.2 $ per hour

b) He spends 46% of the time in a day driving to and from the airport

a)

The amount of the expected money he will earn in airport trips per minute will be = (Probability that he gets an airport drop) * ((Total Earnings)/(Total time taken in minutes))

So, the value of the amount of expected money he will earn in airport trips per minute will be

\(= (\frac{1}{3}) \times (\frac{(28 \times 2)}{(20+20+35)})\\=\frac{56}{225}=0.249\)

Then, the Expected money he earns in airport trips per hour will be =0.249*60=$14.93

The expected money he earns within city trips per minute will be

=(Probability that he gets a within-city fare) * (Avg. money he earns in within-city fares)

So, the value of the amount of the expected money he earns within city trips per minute will be= (2/3) * 1.33 = 0.886

Expected money he earns within city trips per hour = 0.886*60 = 53.2$

b)

Fraction of time spent going to and from the airport (excluding the time spent in line there)

=((Probability of airport trip) * (Time taken to and fro airport))/

((Probability of airport trip) * (Avg. time taken in airport trips))+((Probability of city trip) *(Avg. time taken in city trips))

= (1/3)*(20+20)/(((1/3)*(20+35+20))+((2/3)*((2+10)/2))))

=40/(12+20+35+20)

=40/87

=0.46

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Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Number is 280.

Say that the numberwe're looking for is "x". Now, to get a 7.5% of a number, you must multiply the number by "0.075"If we try to write this operation with our "x" variable, it'll look like this:

\(0.075x=21\)

Now, let's solve this equation.

\(\frac{0.075x}{0.075} =\frac{21}{0.075} \\ \\x=280\)

Let's go ahead and calculate 7.5% of the number we just calculated, to see if it equals 21:

\(280*0.075=21\)

That's correct. The answer is 280.

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Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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Answer:

24/26

Step-by-step explanation:

8/13 divided by 2/3 is the same as:

8/13 times 3/2

8X3= 24

13X2= 26

answer = 24/26

Answer:

12 / 13

Step-by-step explanation:

8 / 13  ÷  2 / 3 ------ just flip 2/3  to --->> 3/2 then multiply

8 / 13  x 3 / 2 = (8 * 3) / (13 * 2)

= 24 / 26

therefore,

= 12 / 13 is the answer

9514 1404 393

Answer:

  addition property of equality

Step-by-step explanation:

The addition property of equality is used to add 2x to both sides of the equation:

  -2x +2x -3 = x +2x -18 . . step 2 with 2x added

  -3 = 3x -18 . . . . . . . . . . . . step 3 (simplified)

The difference is: \(500 = (25 \times f) + (100 \times c)\)

To write the inequality describing the total calorie count, we need to consider the calorie count of the french fries and chicken wings and ensure that it is less than 500 calories.

Let's start by defining the variables:

Let f be the number of french fries.

Let c be the number of chicken wings.

Next, we can determine the total calorie count for the french fries and chicken wings:

The number of calories per french fry is 25.

The number of calories per chicken wing is 100.

To calculate the total calorie count, we multiply the number of french fries by the calorie count per french fry and the number of chicken wings by the calorie count per chicken wing. Then, we sum the two values:

Total calorie count = \((25 \times f) + (100 \times c)\)

We want this total to be less than 500 calories, so we can write the inequality as:

\((25 \times f) + (100 \times c) < 500\)

This inequality ensures that the sum of the calories from the french fries and chicken wings is less than 500.

By varying the values of f and c within the constraints of the inequality, Ashley can ensure that the total calorie count for the lunch remains within her desired limit.

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Answer:

i think its c

sorry if im wrong!

Step-by-step explanation:

Answer:

Your correct! It's A!

Step-by-step explanation:

Use PEMDAS

6+5x3^2-8

6+5x9-8

6+45-8

51-8=43

Answer:

the answer is 43

Step-by-step explanation:

3×3×3=9

5×9=45

6+45= 51

51-8=43

Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

The coefficients in the expansion are 1, 4, 6, 4, 1.

The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. \(^nC_0\)= \(^nC_n\), \(^nC_1\)= \(^nC_{n-1}\), \(^nC_2\)= \(^nC_{n-2}\) ,….. etc.

The expansion of \((x+ y)^4\)

= \(x^4\) + 4x³y + 6x²y² + 4xy³ + \(y^4\)

So, the highest degree is 4.

and, The literal factors are all the combinations are  \(x^4\), 4x³y, 6x²y², 4xy³,\(y^4\)

Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.

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Using simple mathematical operations, we know that 1/15 cup of rice will fill the empty jar.

An operation is a mathematical action.

Addition, subtraction, multiplication, division, and determining the root are all examples of mathematical operations.

The four basic mathematical operations, according to the majority of people, are addition, subtraction, multiplication, and division.

So, we know that:

Nami filled a container with 1/3 cup of rice.

3/5 of the jar was filled with rice.

A number of cups of rice that will fill the empty jar:

3/5 - 2/3

3*3 - 5*2/15

9-10/15

-1/15

The answer here cannot be negative: 1/15

Therefore, using simple mathematical operations, we know that 1/15 cup of rice will fill the empty jar.

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Correct question:
Nami poured 2/3 cup of rice into an empty jar. the rice filled 3/5 of the jar. how many cups of rice will fill an empty jar of the same size? show or explain how you know.

Answer:

(-2,5)

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Lets explain how to solve the problem

- Four 3 megawatt wind turbines can supply enough electricity

to power 3000 homes

∴ The number of turbines is 4

∵ Each turbine give 3 megawatt

∴ The four turbines give ⇒ 4 × 3 = 12 megawatt

- This quantity give enough electricity to power 3000 homes

∴ The number of homes for the 12 megawatt is 3000

- We need to find how many turbines can cover enough electricity

 to power 55,000 homes, so we must to know the quantity of

 electricity that be enough to power 55,000 homes

* Lets use the cross multiplication to solve the problem

∵         megawatt    :     number of homes

                 12          :              3,000

                 ?            :            55,000

- By using cross multiplication

∴

∴ The enough electricity to power 3000 homes = 220 megawatt

∵ Each turbine gives 3 megawatt

- Find the number of turbines divides the total megawatt by the the

 megawatt of one turbine

∴ The number of turbines = 220 ÷ 3 = 73.3

- If we take 73 only the electricity will not be enough to cover all

homes, so we must to take 74 turbines

∴ The number of turbines is 74