a plane ticket cost $30 per ticket max ended up haveing to spend $900 how many tickets did he buy ???

\(length \: of \: 1 \: side = diameter\)

\(area \: = {l}^{2} \\ 100 = {l}^{2} \\ \sqrt{100} = l \\ l = 10\)

\(diameter = 2 \times radius \\ 10 = 2 \times radius \\ radius = 5\)

\(circle \: area = pi \times {r}^{2} \\ circle \: area = 3.142 \times {5}^{2} \\ circle \: area = 3.142 \times 25 \\ circle \: area = 78.55 {cm}^{2} \)

Answer:

t=22 and j+10

Step-by-step explanation:

there were 22 students so t=22

10 people join the amount that were already there j+10

Answer:

First question: t = 22

Second question: j + 10

Step-by-step explanation:

First question: The last step tells us that there are a total of 22 people in the lunchroom. If t = total amount of people in the lunchroom than t would equal 22 according to the last step.

Second question: According to the third step, 10 students join the remaining students who are still in the lunch room. If j = students in the lunch before the 10 students join, then the expression or equation that represents the 10 students that join the lunchroom would be j + 10 because 10 students joined the students that were in the lunchroom before them.

Answer:

original price is x

discount is 10%

discounted price =10%of x

=10/100×x

=x/10

Answer: original price is x

discount is 10%

discounted price =10%of x

=10/100×x

=x/10

Step-by-step explanation:

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3/2=3-5

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Adam plans to choose a video game from a section of the store where everything is 75% off.

The expression written by him for this situation is d - 0.75d.

Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.

The expression written by Rena is 0.25d.

Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.

Answer:

-4

Step-by-step explanation:

Explantion down belowwwww \/

The way to use the Distributive Property to check your work when factoring is;

Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

The Distributive Property is defined as an algebra property that is used to multiply a single term and two or more terms inside a set of parentheses.

For example: 3(2 + 4)

According to the distributive property, the first step is to add these two numbers (2 + 4 = 6) and thereafter, we  multiply the result 6 by 3 to get 18.

Thus, we conclude that the procedure above is basically how we use distributive property of algebra.

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Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

\(b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34\)

To use traces to sketch the surface x = 5y^2 − 5z^2, we can fix one of the variables and plot the resulting curve in the remaining two variables.

For example, when we fix x to a constant value, say x = 0, we get 0 = 5y^2 − 5z^2, which simplifies to y^2 - z^2 = 0. This equation represents two intersecting planes: y = z and y = -z.

Similarly, when we fix y or z to a constant value, we get other traces that can help us sketch the surface. For instance, fixing y = 0 gives us x = -5z^2, which is a downward opening parabola in the z-x plane. Fixing z = 0 gives us x = 5y^2, which is an upward opening parabola in the y-x plane.

By plotting these traces and connecting them appropriately, we can sketch the surface of the equation x = 5y^2 − 5z^2 in three-dimensional space.

To sketch the surface x = 5y² - 5z² using traces, follow these steps:

1. Find the traces for the x-y, x-z, and y-z planes.

x-y plane (z = 0):
x = 5y² - 5(0)²
x = 5y²

x-z plane (y = 0):
x = 5(0)² - 5z²
x = -5z²

y-z plane (x = 0):
0 = 5y² - 5z²

2. Sketch the traces for each plane.

x-y plane: This is a parabola opening in the x direction with the vertex at the origin (0, 0, 0).

x-z plane: This is a parabola opening in the negative x direction with the vertex at the origin (0, 0, 0).

y-z plane: This is a hyperbola, as we can rewrite the equation as y² - z² = 0 or y²/z² = 1. It opens along the y and z axes and passes through the origin (0, 0, 0).

3. Combine the traces to sketch the surface.

The surface is a hyperbolic paraboloid, as it is a combination of the parabolic traces from the x-y and x-z planes and the hyperbolic trace from the y-z plane. The vertex of the hyperbolic paraboloid is at the origin (0, 0, 0), with the parabolic branches opening in the x direction and the hyperbolic branches opening along the y and z axes.

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The total number of 3 matches that can be made between the two schools is:

28 * 45 = 1260

To determine the number of 3 matches that can be made between the wrestling teams of two schools, we can use combinations.

Since each match requires 2 teams, we need to select 2 teams out of the total number of teams available.

Let's consider the first school with 8 members. We need to select 2 teams from these 8 members. The number of ways to select 2 teams out of 8 is given by the combination formula:

C(8, 2) = 8! / (2!(8-2)!) = 8! / (2!6!) = (8 * 7) / (2 * 1) = 28

Now, let's consider the second school with 10 members. We need to select 2 teams from these 10 members. The number of ways to select 2 teams out of 10 is:

C(10, 2) = 10! / (2!(10-2)!) = 10! / (2!8!) = (10 * 9) / (2 * 1) = 45

Therefore, the total number of 3 matches that can be made between the two schools is:

28 * 45 = 1260

So, there can be 1260 3 matches made between the two schools' wrestling teams.

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Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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A triangle shape is formed by the cross-section of a triangular pyramid sliced by a plane that is perpendicular to its base

A triangular pyramid is a geometric solid having a triangle for a base and three triangles with the same vertex on each side.  That is, the triangular pyramid is made up of four triangles. Pyramids made of triangles might be straight or inclined. It resembles a pyramid with four triangular faces that meet at one vertex and a triangular base.

Let's first draw the triangular pyramid. Now, mark the base. Then, denote the plane passing perpendicular to the base. From the diagram we can tell, the plane cuts this pyramid to form a triangle cross-section.

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Answer:

The required equation is: y=-3

Option D is correct.

Step-by-step explanation:

We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).

The equation of line in slope-intercept form is expressed as: \(y=mx+b\)

where m is slope and b is y-intercept.

Finding Slope:

Comparing with the given equation y=5, the slope m =0

The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0

Finding y-intercept

The y-intercept can be found using slope m=0 and point (-4,-3)

\(y=mx+b\\-3=0(-4)+b\\b=-3\)

So, y-intercept b is b=-3

The equation of required line having slope m=0 and y-intercept b=-3 is

\(y=mx+b\\y=0(x)-3\\y=-3\)

So, required equation is: y=-3

Option D is correct.

Answer:

it's the bottom left one

I hope this helps

Answer:

W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).

Given the vertices W(-3,5), X(8,6),  Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).

Answer:

97

Step-by-step explanation:

92+55=147

180-147=33

85+45=130

180-130=50

50+33=83

180-83=97

Answer:

0.65g

Step-by-step explanation:

Decay rate = 50%

Decay rate = 0.5

\(A = Aoe {}^{ - kt} \)

where Ao = initial amount at start, k = rate of decay or growth, t = time, e = euler's number and A = value at time 't'

Ao = 4.8

t = 88/44 = 4

k = 0.5

substitute these values in the equation

\(A = 4.8e {}^{ - 0.5 \times 4} \)

\(A = 0.6496\)

\(A = 0.65 \: (2dp)\)

Answer:

105

Step-by-step explanation:

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

\(tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k\)

Solve for j:

\(8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j\)

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

Answer:

D.

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

Answer:

1.214 or \(1\frac{3}{14}\) or \(\frac{17}{14}\)

Step-by-step explanation:

To solve this equation, first you need to the variable term isolated. You do this by adding 10 to each side. Your equation will now look like

17c = 14

Next, you will divide both sides by the 17.

Your equation now is solved, and above, I put ther three different forms for your answer: decimal, mixed number, and improper fraction.

~theLocoCoco

Answer:

1. $8 2. $11 3. $23

Step-by-step explanation:

5*1 (The number of miles traveled) + 3 is 8

8*1+3 is 11

20*1+3 is 23

Answer:

$8, $11, $23

Step-by-step explanation:

Answer:

\(\boxed{x=13.89\:km}\)

Step-by-step explanation:

Pythagorean theorem

\(x^2=(12^2)+(7^2)\)

\(x^2=144+49\)

\(x^2=193\)

\(x=\sqrt{193}\)

\(\boxed{x=13.89\:km}\)

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The correct representation is (5-2)÷n

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

According to the question

2 less than 5 = 5-2

then the answer must be divided by n

=( 5-2)/n

Hence, the correct representation is (5-2)÷n.

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Answer:

The segment bisector of RS is KM and RS Lenght is 34CM

Step-by-step explanation:

17+17=34

The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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We are given a triangle such that two line segments are drawn as medians:

A meadian line has three points that are off importance as follows:

Hence, using the above information we can extract that:

We can also use the properties of median length that states:

The ratio of the above two lengths for any median line of a triangle remains true for:

This means that the line segment from centroid to bisection ( mid ) point of the opposite side is shorter than the preceeding length; hence, the ratio is ( 2 : 1 ).

We are given the length of the line segment MA the larger part of the median line:

We can use the property of ratio of lengths for the median lines and determine the length of the smaller part of the median line as follows:

From the above property we determined the length of the shorter line segment. Now we have lengths for the both constituent line segments of median line ( MX ). We can simply sum the individual lengths as follows:

Hence, the answer is:

Answer:

b. 20

Step-by-step explanation:

divide 118 by 6 and round to 20

Answer:

20 you will get me when you round it