All the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children, teachers, and chaperones, there will be 147 people. Each bus holds 44 people.

Why must the answer be a whole number?

need anwser fast

∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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The item that would take longer to stop between an aircraft carrier and a row boat at the same velocity is the aircraft carrier .

The variation in weight and force between them generates this outcome. The measure of momentum is determined by the multiplication of mass and velocity. An object with higher mass, such as an aircraft carrier, would possess greater momentum compared to a lighter object like a row boat when moving at equal speed.

The principle of inertia is also relevant in this context. The tendency of a physical object to resist any alteration in its velocity is referred to as inertia. This encompasses modifications to the velocity or trajectory of the entity. An object's inertia increases as its mass increases, and vice versa - smaller objects have less inertia.

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Answer:

  (x, y) = (3, -7)

Step-by-step explanation:

You want to solve these equations, -x+y=-10 and 3x+4y=-19, using elimination.

The "elimination" method of solving a system of equations combines the equations in such a way that one of the variables is eliminated. Here, we can eliminate the x-variable by adding 3 times the first equation to the second:

  3(-x+y) +(3x+4y) = 3(-10) +(-19)

  7y = -49 . . . . . . . . . simplify; note x is eliminated from the equation

  y = -7 . . . . . . . . . . . divide by 7

The value of x can be found from the first equation by substituting for y:

  -x +(-7) = -10

  x = 10 -7 = 3 . . . . . . . add x+10 to both sides

The solution to these equations is (x, y) = (3, -7).

The solution is x=3, y = -7

From the question, we have

-x+y=-10 ...........(i)

3x+4y=-19 ..............(ii)

Multiplying equations (i) by 3, we get

-3x+3y=-30................(iii)

Adding both the equation (ii) and (iii), we get,

3x+4y-3x+3y  = -19-30

⇒7y = -49

⇒y = -7

Substituting the value of y in equation (i), we get

-x+y=-10

⇒-x-7=-10

⇒x=3

Elimination Method:

One method for resolving a system of linear equations is the elimination method. In this approach, the equation in one variable is obtained by either adding or subtracting the equations. We can add the equation to delete a variable if its coefficients are the same and have the opposite sign from the other variables. Similar to this, we can subtract the equation to get the equation in one variable if the coefficients of one of the variables are the same and their signs are the same.

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The greatest height reached by the ball is 48 feet.This is determined by finding the vertex of the parabolic function h(x) = \(-x^2 + 42x + 6\).

To find the greatest height reached by the ball, we need to determine the vertex of the parabolic function h(x) = \(-x^2 + 42x + 6\). The vertex of a parabola is given by the formula x = -b/2a, where a and b are the coefficients of the quadratic equation.

In this case, a = -1 and b = 42. Substituting these values into the formula, we get x = -42/(2*(-1)) = 21.

Therefore, the ball reaches its greatest height when it is 21 feet horizontally away from the thrower's feet.

To find the corresponding height, we substitute this value of x back into the equation h(x).

h(21) =\(-(21)^2\) + 42(21) + 6 = -441 + 882 + 6 = 447.

Hence, the greatest height reached by the ball is 447 feet.

Parabolic functions are described by quadratic equations of the form y = \(ax^2\) + bx + c. The vertex of a parabola is the point where it reaches its maximum or minimum value. In the case of a downward-opening parabola, such as the one in this problem, the vertex represents the maximum point.

The vertex of a parabola is given by the formula x = -b/2a. This formula is derived from completing the square method. By finding the x-coordinate of the vertex, we can substitute it back into the equation to determine the corresponding y-coordinate, which represents the maximum height.

In this particular problem, the vertex of the parabola is located at x = 21. Substituting this value into the equation h(x), we find that the corresponding maximum height is 447 feet.

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Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Answer:

37% between 1989and 2009

Step-by-step explanation:

20%+17%=37%

Answer:

I think its Factor

Step-by-step explanation: (x-4) (x+1)

And for the equation x=4,-1

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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7/13 as a decimal to the hundredths place is 0.54 and the remainder as a fraction is 7/13.

7/13 as a decimal to the hundredths place and the remainder as a fraction

In order to convert 7/13 to a decimal, we will divide 7 by 13.

Using long division, we get7 ÷ 13 = 0.53846153846...To the nearest hundredth, we round up to 0.54.

Hence, 7/13 as a decimal to the hundredths place is 0.54.

To find the remainder as a fraction, we subtract the product of the quotient and divisor from the dividend. Then, we simplify the fraction as much as possible.

Remainder = Dividend - Quotient x DivisorRemainder = 7 - 0 x 13

Remainder = 7/13

Therefore, 7/13 as a decimal to the hundredths place is 0.54 and the remainder as a fraction is 7/13.

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The value of CD is 4 cm.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Since GH bisects CF, therefore:

CD = (1/2) CF

3y - 11 = (1/2) (2y -2)  

(multiply both sides by 2)

6y - 22 = 2y - 2

6y - 2y = -2 + 22

4y = 20

y = 5

Now, Substitute with the value of y in the equation of CD, you get:

CD = 3y-11

CD = 3(5) - 11

CD = 15 - 11

CD = 4 cm

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Answer:

To find an equivalent ratio, she can start at the point (2, 1) and move  

✔ right 2 and up 1

.

She can draw a straight line from the origin that passes through  

✔ the equivalent ratios

.

As long as she picks a ratio on the line, Larissa will get  

✔ the same

shade of green paint.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Answer:

\(\Huge\boxed{B.x=12}\)

Step-by-step explanation:

Hello There!

They have given us each measure of a triangle's angles

Remember all of the angles in a triangle add up to equal 180

so we can use this equation to solve for x

180 = 2x + 5 + 6x - 5 + 7x

step 1 combine like terms

2x+6x+7x=15x

5-5=0

now we have 180 = 15x

step 2 divide each side by 15

180/15=12

15x/15=x

we're left with x = 12

Answer:

y = - x + 6

Step-by-step explanation:

The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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Answer:

2 more

Step-by-step explanation:

Answer:

$13.35

Step-by-step explanation:

Have a great day bye !!!

Answer:

c

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

3*4=12

4*4=16

Answer:

2 x 7 x 3²

Step-by-step explanation:

(look at attachment!)

First, you need to calculate 84 as a product of its prime factors. The simplest way to do this (in my opinion) is using a factor tree to split the number.

You should get the answer 2x7x3².

Ascending order means from smallest to biggest, so simply rearrange the numbers above in that order - remember 3² = 9, so is larger than 7. You may not always need to reorder the numbers if they are already ascending.

Hope this helps!

Answer:

84 = 2*2*3*7

Step-by-step explanation:

Let's define the terms we are given to understand what the problem is asking us to do.

⭐What is a prime number?

⭐What are the factors of a number?

⭐What does ascending order mean?

⭐What is a composite numbers?

Thus, we have to find the prime numbers that multiply into 84, and write the prime numbers as factors in ascending order. This is called "prime factorisation".

To do prime factorization:

These steps may seem abstract, so I will demonstrate prime factorization for this problem. The image is attached to this response.

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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Answer:

x = 7.5

Step-by-step explanation:

\( \frac{6}{15} = \frac{3}{x} \)

cross multiply expressions

6x = 45 divide both sides by 6

x = 7.5

Value of x in 1974 is 0

Value of x in 1984 is 10

Value of x in 1994 is 20

Value of x in 2004 is 30

Price of tickets in 1974 is $1.89

Price of tickets in 1984is $3.20

Price of tickets in 1994 is $4.51

Price of tickets in 2004 is $5.82

A linear function is a function that has a single variable raised to the power of 1.

An example of a linear function is 0.131x+1.89

Where:

Value of x in 1974: 1974 - 1974 = 0

Value of x in 1984: 1984 - 1974 = 10

Value of x in 1994: 1994 - 1974 = 20

Value of x in 2004: 2004 - 1974 = 30

Price of tickets in 1974 : 0.131 (0) +1.89 = 1.89

Price of tickets in 1984 : 0.131 (10) +1.89 = 3.20

Price of tickets in 1994 : 0.131 (20) +1.89 = 4.51

Price of tickets in 2004 : 0.131 (30) +1.89 = 5.82

Here is the complete question:
What value of x should you use to find ticket prices in 1974, 1984, 1994, 2004?

What are the ticket prices for those years?

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Answer:(3x-2)2

Step-by-step explanation: hope this helps

Answer: (3x-2)^2

Step-by-step explanation:

The implicit equation for the plane through (3,-2,2) normal to the vector ⟨4,1,-5⟩ is: 4(x - 3) + 1(y + 2) - 5(z - 2) = 0.

To find the implicit equation for the plane, we need the normal vector and a point on the plane. The given normal vector is ⟨4,1,-5⟩, which represents the coefficients of x, y, and z respectively. A point on the plane is (3,-2,2). Using the point-normal form of the equation, we substitute the values into the equation: 4(x - 3) + 1(y + 2) - 5(z - 2) = 0. Simplifying the equation gives us the implicit equation for the plane through the given point and normal vector.

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26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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Answer:

55

Step-by-step explanation:

The probability of outcome \(\( p_{1} \) is \( \frac{4}{4+1+1+1} = \frac{4}{7} \),\) and the probability of each of the remaining outcomes \(\( p_{2}, p_{3}, p_{4} \) is \( \frac{1}{4+1+1+1} = \frac{1}{7} \).\)

To calculate the probabilities, we first note that the sum of the probabilities of all possible outcomes must equal 1. Let's denote the probability of outcome \(\( p_{1} \) as \( P(p_{1}) \)\) and the probability of each of the other outcomes as \\(( P(p_{2}) = P(p_{3}) = P(p_{4}) \).\)

We are given that the probability of outcome \(\( p_{1} \)\) is four times as likely as each of the other outcomes. This can be expressed as:

\(\( P(p_{1}) = 4 \cdot P(p_{2}) \)\( P(p_{1}) = 4 \cdot P(p_{3}) \)\( P(p_{1}) = 4 \cdot P(p_{4}) \)\)

Since the sum of the probabilities of all outcomes is 1, we have:

\(\( P(p_{1}) + P(p_{2}) + P(p_{3}) + P(p_{4}) = 1 \)\)

Substituting the values we obtained for the probabilities of the outcomes:

\(\( P(p_{1}) + P(p_{1})/4 + P(p_{1})/4 + P(p_{1})/4 = 1 \)\)

Combining like terms:

\(\( P(p_{1}) \cdot (1 + 1/4 + 1/4 + 1/4) = 1 \)\( P(p_{1}) \cdot (1 + 3/4) = 1 \)\( P(p_{1}) \cdot (7/4) = 1 \)\)

Simplifying:

\(\( P(p_{1}) = \frac{4}{7} \)\)

Therefore, the probability of outcome \(\( p_{1} \) is \( \frac{4}{7} \),\) and the probability of each of the other outcomes \(\( p_{2}, p_{3}, p_{4} \) is \( \frac{1}{7} \).\)

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Answer: y = -1/2x + 6

Step-by-step explanation: you find slope using rise over run, so all you have to do is set up the equation. y2-y1 divided by x2-x1. That would give you -1/2 for your slope. If you draw out the graph, the y-intercept is 6.