increase 30 kg by 12%

42 adult tickets and 421 children tickets were purchased for the field trip, based on the given information that the total cost of the tickets was $995 and the children tickets cost $11 while the adult tickets cost $13, and the number of children tickets purchased was one more than ten times the number of adults tickets purchased.

Let's use variables to represent the unknown quantities in the problem:

Let x be the number of adult tickets purchased

Then the number of children tickets purchased is 10x + 1 (since it is one more than ten times the number of adults tickets purchased)

Using these variables, we can set up an equation based on the total cost of the tickets:

13x + 11(10x + 1) = 995

Simplifying and solving for x, we get:

23x + 11 = 995

23x = 984

x = 42.7826087 (rounded to 9 decimal places)

Since we can't purchase a fraction of a ticket, we'll round x down to the nearest whole number, which means 42 adult tickets were purchased. Then the number of children tickets purchased is:

10x + 1 = 10(42) + 1 = 421

So, 42 adult tickets and 421 children tickets were purchased.

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Answer:

\(a=10\)

Step-by-step explanation:

Equation 1:  \(2a+3b=-1\)

Equation 2: \(4a+2b=26\)

Subtract 3b from both sides in Equation 1:

\(2a=-1-3b\)

Divide both sides by 2:

\(\frac{2a}{2}=-\frac{1-3b}{2}\)

\(a=\frac{-1-3b}{2}\)

Substitute this into Equation 2:

\(4* \frac{-1-3b}{2}+2b=26\)

\(2\left(-3b-1\right)+2b=26\)

\(-6b-2+2b=26\)

\(-4b-2=26\)

Add 2 to both sides:

\(-4b=28\)

Divide both sides by -4:

\(\frac{-4b}{-4}=\frac{28}{-4}\)

\(b=-7\)

We know that \(a=\frac{-1-3b}{2}\). Plug in b = -7 value:

\(a=\frac{-1-3\left(-7\right)}{2}\)

\(a=\frac{-1+3\cdot \:7}{2}\)

\(a=\frac{20}{2}\)

\(a=10\)

Answer:

3.6

Given:

are of triangle=4.14

height=2.3

Step-by-step explanation:

area of the triangle=1/2 × base × height

4.14 = 1/2 × base × 2.3

4.14 = 2.3/2 × base

by cross multiplying,

4.14 × 2 = 2.3 × base

8.28 = 2.3 × base

8.28/2.3 =base

To remove the decimal point, multiply with 100 in both numerator and denominator

8.28×100 / 2.3×100 = base

828/230 = base

base = 3.6

hope it helps you!

Answer:

3.6 inches.

Step-by-step explanation:

Area = 1/2 * base * height

4.14 = 1/2 * base * 2.3

1/2 * base = 4.14 / 2.3

base = 4.14 * 2 / 2.3

= 3.6.

The amount of carbon-14 remaining after 20 millennia is 0.912 mg.

The exponential decay function for a 24-mg sample of carbon-14 can be represented by the equation:

y = 24e^(-kt)

where:

y is the amount of carbon-14 remaining

e is the base of the natural logarithm

k is the decay constant, calculated by dividing the natural logarithm of 2 by the half-life of carbon-14 (5730 years)

t is the time elapsed

So, k = ln(2)/5730

To find the amount of carbon-14 remaining after 20 millennia (20,000 years), we can plug in the values:

t = 20,000 years

y = 24e^(-k * 20,000)

Substituting the value of k:

y = 24e^(-ln(2)/5730 * 20,000)

y = 24 * e^(-0.000011 * 20,000)

y = 24 * 0.038

y = 0.912 mg

So, the amount of carbon-14 remaining after 20 millennia is 0.912 mg.

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Answer:

Harris, Ian, Gia, Jackson.

Step-by-step explanation:

                   Exercising Distance (miles)       Time (minutes)

Gia              2                                                  30

Harris          5                                                  50

Ian               3                                                  40

Jackson      4                                                  80

The easiest thing to do here would be to calculate how many miles each person can walk in 1 minute.

Gia takes 30 minutes to walk 2 miles. That means that her speed is 2/30, or 1/15, or 0.0667 miles per minute.

Harris takes 50 minutes to walk 5 miles. That means his speed is 5/50, or 1/10, or 0.1 miles per minute.

Ian takes 40 minutes to walk 3 miles. That means his speed is 3/40, or 0.075 miles per minute.

Jackson takes 80 minutes to walk 4 miles. His speed is 4/80, or 1/20, or 0.05 miles per minute.

From here, we can see that Jackson can walk the least miles per minute, since his rate is just 0.05 miles per minute. Next is Gia, who walks 0.0667 miles per minute. Then Ian, who walks 0.075 miles per minute, and finally Harris, who walks 0.1 miles per minute.

So, the order from fastest to slowest is Harris, Ian, Gia, Jackson.

Hope this helps!

The list of ranks the students from fastest walker to slowest walker is;

⇒ Harris, Lan, Gia, Jackson

What is Speed?

The speed of an object is defined as;

Speed = Distance / Time

Given that;

The four students in the table below each recorded the time and distance traveled while exercising.

               Exercising Distance(miles)            Time (minutes)

Gia                    2                                                 30

Harris                5                                                 50

Lan                    3                                                 40

Jackson             4                                                 80

Now,

Find the speed of all the students as;

For Gia;

Speed of Gia = Distance / Time

                    = 2 / 30

                    = 0.067 miles/minutes

For Harris;

Speed of Harris = Distance / Time

                        = 5 / 50

                        = 0.1 miles/minutes

For Lan;

Speed of Lan = Distance / Time

                    = 3 / 40

                    = 0.075 miles/minutes

For Jackson;

Speed of Jackson = Distance / Time

                            = 4 / 80

                            = 0.05 miles/minutes

Thus, The list of ranks the students from fastest walker to slowest walker is;

⇒ Harris, Lan, Gia, Jackson

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Answer:

20 cookies

Step-by-step explanation:

8 in 1.5 minutes

so we want to find how many in 3.75 minutes since 3 + 45/60 = 3.75

so then its 1.5*2 = 3 so 8*2 = 16 to get that 16 cookies in 3 minutes

then we still have .75 left so then divide 8/2 to get 4 cookies in 0.75 minutes

16+4 = 20

you can also just find how many in 0.25 minutes (15 seconds) you get 6/8

multiply that by 3.75/0.25 = 15 you get 15*(8/6) = 20

The statement that is not true with respect to the approximation of the data points by the least-squares line is option b. Setting the predicted values equal to the observed values, that is B.x + Bo = y, we obtain an inconsistent system Xß = y.

In the least-squares method, we aim to find the parameters B and Bo that make the line y = f(x + Bo) as close to the data points (x, y), ..., (x, y) as possible (option a). To achieve this, we minimize the sum of squares of residuals by finding the least-squares solution B = (B, Bo) of XB = y, where X is the design matrix and y is the observation vector (option c). The design matrix for the least-squares line has a form X = (x xº), where x is the column vector of the x-coordinates of the data points and xº is the column vector of 1's (option d). The observation vector y is the vector of the y-coordinates of the data points (option e). B is a solution of the system with the augmented matrix [X y] (option f).

However, option b states that setting the predicted values equal to the observed values results in an inconsistent system Xß = y, which is not true.

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Answer: x = 6

Step-by-step explanation: 1/6x + 2/3 x = 5 first just add the like terms 5/6 x = 5 then 5*6 /5 = x hope it helps ;)

Answer:

^^1 week and 5 days

Explanation:

If she has $85 now, and gains $10 per week, by the next week and 5 days, she should have her goal of $205. Hope it helps!

Answer:

did you got the answer

Step-by-step explanation:

because I need it too

please help me out

I've checked out and its AAA does not prove congruence. Triangles are not congruent. They are similar

but am not sure

Answer:

No, because having congruent angles does not prove that triangles are similar, triangles can have the same angles and be very different sizes, we need at least one side length to prove they are similar.

A result is called statistically significant whenever it is unlikely to have occurred by chance alone, meaning that there is strong evidence to support the presence of a true effect or relationship.

This is often determined by a p-value less than a predetermined threshold, commonly set at 0.05, which indicates a less than 5% probability that the result is due to chance.

A result is called statistically significant whenever it is unlikely to have occurred by chance alone. This is typically determined by conducting a hypothesis test and calculating a p-value, which represents the probability of obtaining the observed result or a more extreme result if the null hypothesis (i.e. no difference between groups or no relationship between variables) is true.

If the p-value is below a predetermined significance level (often set at 0.05), then the result is considered statistically significant, meaning there is evidence to reject the null hypothesis and support the alternative hypothesis (i.e. there is a difference between groups or a relationship between variables).

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Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Answer:

4/48 simplified by 4 = 1/12

The probability is 1/12

.............

The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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The four angles marked in the picture are equal, so they are congruent.

Congruent angles are angles that have the same measure or value. That is, two angles are congruent if they have the same angle measure.

When two angles are congruent, they have the same shape and size.

Let's call each of the angles formed by line L "a" and "b"

Let's call each of the angles formed by line M "c" and "d"

From the given parallel lines;

So angle a, angle b, angle c and angle d are equal, hence they are congruent.

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The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

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Answer:

point C

Here is a step-by-step explanation of the statement:

1. Draw a point B and a point C on a piece of paper or a computer screen.

2. Draw a straight line that goes through both point B and point C.

3. Fold the paper along the line you just drew, so that the line is the fold line.

4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.

5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.

6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.

An area of high pressure pushes toward an area of low pressure causing wind

    I attached a diagram that can hopefully help you visualize the situation

Hope that helps!

Answer:

The answer would be C. An obtuse equilateral triangle :)

The value of Hypotenuse (x) of triangle is,

⇒ x = 80

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In a triangle,

Hypotenuse of triangle = x

Adjacent side of triangle = 48

Hence, By definition of trigonometry formula we get;

⇒ sin θ = Adjacent / Hypotenuse

Substitute all the given values, we get;

⇒ sin 37° = 48 / x

⇒ 0.60 = 48 / x

⇒ x = 48 / 0.6

⇒ x = 80

Hence, The value of Hypotenuse of triangle is,

⇒ x = 80

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Answer:

-2x-10

Step-by-step explanation:

Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.

\(\huge\bold{ANSWER:}\)

-2x-10

\(\bf{EXPLANATION:\)

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

-2(x+5)

-2x-10 (a negative times a negative is a positive)

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts! :)

\(\mathfrak{SilentNature~a.k.a.Sparkles}\)

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

Answer:

P=RS1000

R=10%

T=?

COMPOUND AMOUNT=RS 1200

I=1200-1000=RS200

IF IT IS SIMPLE INTEREST

T={I×100}/(P×R)=(200×100)/(1000×10)=20000/10000=2YEARS=2×12=24MONTHS

Answer:

k = 10

Step-by-step explanation:

given y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

to find k use the condition that y = 5 when x = 2

5 = \(\frac{k}{2}\) ( multiply both sides by 2 )

10 = k

To graph the solution of the inequality x + 3 < 6, we first need to isolate x on one side of the inequality sign. We can do this by subtracting 3 from both sides:

x + 3 - 3 < 6 - 3

x < 3

This tells us that any value of x that is less than 3 will satisfy the inequality. To graph this, we can draw a number line and mark a circle at 3 to indicate that it is not included in the solution (since the inequality is strictly less than, not less than or equal to). Then, we shade to the left of 3 to represent all the values of x that satisfy the inequality:

      0  1  2  3  4  5  6

The shaded part of the number line represents the solution of the inequality x + 3 < 6.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer: m = 2

Step-by-step explanation: Coz I juss know

Answer:

m = 2

Step-by-step explanation:

7m - 6 + 3m + 7 = 21

(collect like terms)

10m + 1 = 21

10m = 21 - 1

10m = 20

(divide)

m = 2

Answer:

\((3x-5)(3x+5)\)

Step-by-step explanation:

Difference of squares states that:

\(a^2-b^2=(a-b)(a+b)\)

In this case...

\(a^2=9x^2\\\sqrt{a^2}=\sqrt{9x^2}\ (take\ the\ square\ root\ of\ both\ sides)\\a=3x\)

\(b^2=25\\\sqrt{b^2}=\sqrt{25}\ (take\ the\ square\ root\ of\ both\ sides)\\b=5\)

This means that...

\(9x^2-25=(3x-5)(3x+5)\)

Answer:

A

Step-by-step explanation:

an=a1+(n-1)d

A(10)=15+(n-1)-2

The graph of  y = -f(x) + 3 is a graph that has a negative slope and is attached.

A graph is a representation of data using the coordinate system. There are different types of graph each defining the required data.

The graph of equation of a straight line is one of the types of graphs. The graph of the form y = mx + c represents the equation of a straight line. The terms are defined as follows

The slope is a function of x and from the question it is negative.

The graph is plotted and attached

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