There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay inside. The other 15 people voted to go outside in the rain. What percent of the class wants to go outside? Round to the nearest percent if needed.

The solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).

The solution to the system of linear equations x 3y =- 2 can be found by using a method such as substitution or elimination.

One possible method is substitution, where we solve one equation for one variable in terms of the other, and then substitute that expression into the other equation.

For example, we can solve the equation x + 3y = -2 for x in terms of y: x = -3y - 2. Then we can substitute this expression into the second equation: -3y - 2 + 3y = -2, which simplifies to y = -2.

Then we can substitute this value back into the first equation to find x: x = -3(-2) - 2 = 6.

So the solution to the system of linear equations x 3y =- 2 is (x, y) = (6, -2).

In conclusion, The system of linear equations x + 3y = -2 can be solved by using the method of substitution. By solving one equation for one variable in terms of the other, and substituting that expression into the other equation, we find that the solution to the system is (x, y) = (6, -2).

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Answer:

4x/7 = product of 4 times x divided by 7

2x-5 = five subtracted by two times the product of x

2(x+5) = two times the product of x and 5

4x+7 = the product of 4 times x and 7

3/x-2 = the last one (too lazy to type lol)

Hope this helps! :)

Answer: I believe the y-intercept would be -5

Step-by-step explanation: If you recall, we find the slope using y=mx+b, with M being your slope and B being your y-intercept! I hope that was helpful!

Therefore , the solution of the given problem of equation comes out to be 0.24(d−c) is the required equation.

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

$d dollar purchase price

Selling price = $c

25% commission rate

The difference between the selling price and the purchasing price is the profit.

=Buy price - Selling price =d - C

The commission is the result of the profit and the commission rate.

=> Profit = Commission rate * Profit

=> 24% * (d- c)

=>0.24×(d−c)

=> 0.24(d−c)

​

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The probability P(less than 7)  is 3/4.

It is a branch of mathematics that deals with the occurrence of a random event.

For the given situation,

The cards are numbered as s = {4,5,6,7}

n(s)=4

The event is probability of picking the cards less than 7

Cards less than 7,

e=4, 5, 6

n(e)=3

Probability of picking the card is given by p(e)=n(e)/n(s)

p(less than 7)=3/4

Hence, the probability P(less than 7)  is 3/4.

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Answer:

Step-by-step explanation:

watch da help vid

Note that the conclusions that can be made about the above-given figure is that :

Δ PQR ~ ΔPST by the AA Similarity Theorem.

∠PQR ≅ ∠ PST also by the AA Similarity Theorem.

According to the AA similarity theorem, if two triangles of one triangle are equivalent to two angles of another triangle, then the two triangles are similar. As a result of comparable angles in each triangle, the two triangles are identical.

The three similarity rules are as follows:

AA. : Two comparable angle pairs are equal.

SSS. : Three comparable pairs of sides are proportionate.

SAS. : Two matching side pairs are proportionate, and their corresponding angles are equal.

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The coordinates of the point on the line is (1/2, -27/10)

From the question, we have the following parameters that can be used in our computation:

Point A is at (-4,-6) and point C is at (11,5).

Also, we have the ratio of AB to AC to be 3 : 7 i.e. 3/10

The partition involves dividing the line into subsegments

This means that

(x, y) = (-4,-6) and  (11,5).

m : n = 3 : 7

The coordinates of the partition are calculated as:

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

Point = 1/(3 + 7) * (3 * 11 + 7 * -4, 3 * 5 + 7 * -6)

Evaluate the products

So, we have the following representation

Point = 1/10* (5, -27)

Evaluate the quotients

Point = (1/2, -27/10)

Hence, the coordinate of the partition is (x,y) = (1/2, -27/10)

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Answer:

Step-by-step explanation:

6x + 238 = 3x + 178

3x = 178 - 238

3x = -60

x = -60 : 3

x = -20

-------------------------------------

6(-20) + 238 = 3(-20) + 178

-120 + 238 = -60 + 178

118 = 118

So on solving the provided question, we can say that in this triangle,

angle B = 90, AC = 13; AB = x 10

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

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here, in this triangle,

angle B = 90

AC = 13

so by Pythagoras theorm

AB = x 10

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Answer:

2x - 10y = - 40

Step-by-step explanation:

x - 3y = -14

x - 7y = -26

2x - 10y = - 40

The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

Given that the translation is to the left by 5 units.

When the graph shifts to the left by 5 units the graph shifts on the x-axis, and this is represented as follows:

(x, y) ⇒ (x - 5, y)

When the graph is translated up by 10 units the graph shifts on the y-axis and this is represented as follows:

(x , y) ⇒ (x -5, y + 10).

Hence, The rule to describe the translation 5 units left and 10 units up is given as (x, y) ⇒ (x -5, y + 10).

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The property of substitution states that if an expression is equal to a second expression, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression.

The property of substitution is a fundamental concept in algebra that allows us to manipulate equations and expressions. This property states that if two expressions are equivalent, then replacing a part of one expression with the corresponding part of the other expression will also result in an equivalent expression. This allows us to make substitutions in equations and expressions in order to find solutions. This property is essential when solving equations, since it allows us to replace unknown variables with known values, enabling us to find the solution. It is also important when simplifying expressions, since it allows us to replace parts of the expression with simpler parts in order to find the simplified form.

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The midpoint of segment EF whose endpoints area at; (10,-7) and (8,5)as required is; (9, -1).

It follows from the task content that the midpoint of the segment EF is to be determined.

Since the given endpoints of the segment are: (10,-7) and (8,5) and it follows from the midpoint formula that;

Midpoint, M = ( (x₂ + x₁)/2 , (y₂ + y₁) /2 )

On this note, the midpoint of the segment EF as required is;

M = ( (10+8)/2 , (-7 + 5)/2 )

M = (9, -1)

Ultimately, the midpoint of the segment EF is; (9, -1).

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Answer: 1. 55 sq inches

Step-by-step explanation:

add me and mark me brainlyest pls

Answer:

15.5 inches

Step-by-step explanation:

10cm = 3.93701 inches

3.93701 x 3.93701 = 15.50004774

15.50004774 to the nearest tenth is 15.5

The number of months that the manufacturer should offer is given as follows:

51.7 months.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 60, \sigma = 5.2[/tex]

The z-score associated with the 5.6th percentile is given as follows:

z = -1.59.

Hence the amount of time is obtained as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.59 = \frac{X - 60}{5.2}[/tex]

X - 60 = -1.59 x 5.2

X = 51.7 months.

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Dilation and rotation is a series of transformations that would produce a figure that is similar to the original figure but not congruent with it.

Transformation of dilation and rotation:

Rigid transformations, such as rotations, reflections, and translations, do not alter the size or shape of a figure; rather, they only move it. The congruence is preserved by these hard changes.

However, because dilation alters a shape's size, they are not hard transformations. The ratio of matching sides would be equal to the scale factor used in the dilatation; the form would remain the same, just the size would vary. This would provide us with a comparable but in congruent value.

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There are about 1,000 times as many fourth graders in the US as there are in Washington DC.

what is an algebraic expression ?

Algebraic expression can be defined as the combination of  constants , variables and operators.

​We write 4 thousand as 4,000

We write 40 thousand as 40,000

We write 400 thousand as 400,000

The value of each place is ten times the value of the place immediately to the right.

So:

40,000 is 10 times 4,000

400,000 is 10 times 40,000.

4,000,000 is 10 times 400,000.

Thus, 400,000 = 10 *40,000, and there are about 10 times as many fourth graders in Texas as there are in Mississippi.

Also, 4,000,000 = 10* 400,000, and there are about 10 times as many fourth graders in the US as there are in Texas.

Finally, to go from 4,000 to 4,000,000, we have to multiply by 10 three times. We see that

10*10*10 = 10 * 100 = 1000

Hence, there are about 1,000 times as many fourth graders in the US as there are in Washington DC.

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The maximum number of air hockey games that can be played out of the $100 game card at Dave & Buster's is 50.

With a $100 game card, the maximum amount of times to play air hockey is found thus;

After 2 rounds of ski-ball at the cost of $2 per game = $4

After 3 rounds of Dance Dance Revolution at the cost of  $2.50 per game = $7.50

If air hockey costs $1.75 per game, then;

$4 + $7.50 = $11.50

$100 - $11.50 = $88.50

Therefore $88.50/$1.75 = 50.5 approximately 50 times.

It will take 50 times to use up the rest of the $88.50 left from the $100 game card if air hockey costs $1.75.

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Due to the constant value of 0 as well as the leading term 1, the provided polynomial function is a rational function.

An equation's function that only uses ou pas integer exponents or only nonzero multipliers of a variable, as in an equation, quadratic equation, etc., is said to have a polynomial function. A good example is the exponent of the polynomial 2x+5.

Here,

Exponents for the provided polynomial function are positive integers.

The exponent of the positive number 2x is 1.and is a real number with the exponent 5, respectively.

One of the parameters in the function is a real integer like 5, while another is 1.

As a result, the function is described by a polynomial.

It is polynomial because it has a degree of 5.

A polynomial is expressed in standard form by writing the terms in increasing order of words with lower exponents, starting with the term the with highest exponent.

The polynomial has the standard form f(x)=2x+ 1.

consisting of the leading phrase 1 and the constant 0.

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Step-by-step explanation:

Given equations are

2x+3y=13 ....(1)

4x+y=11 .....(2)

multiply the equation (2) by 3, we get

⇒12x+3y=33 .....(3)

Subtract equation (1) from (3) to eliminate y, we get

12x+3y=33

2x+3y=13

− − −

10x=20

⇒x=2

Put this value in equation (1), we get

⇒2(2)+3y=13

⇒4+3y=13

⇒3y=9

⇒y=3

∴ the solution is x=2,y=3.

Where the above rectangle has the given dimensions, this means that:

m∠1 = 49°

m∠2 = 41°

m∠3 = 41°

∠ADC = 90°

AB = 7.5

BD = 10

CE = 5

The following are the qualities of a rectangle:

1) Since the diagonals cut one other in half, it means that ΔCEB, ΔAED are congruent isosceles triangles. It also means that ΔAEB and ΔDEC are congruent isosceles triangles.

This means that ∠BCE = ∠CEB

Where ∠AEB = 98°

∠ABE = (180-98)/2

= 41°

Thus, m∠1 = 90- 41°

m∠1= 49°

2 and 3) Given that ΔAEB and ΔDEC are congruent isosceles triangles, and ∠AEB and ∠DEC are opposite angles (which are congruent), that means

∠AEB and ∠DEC = 98°

Thus,

m∠2 and m∠3 =  (180-98)/2 that is

m∠2 and m∠3 = 41° respectively.

4) ∠ADC = 90° (Property of a rectangle)

5) Given an angle and the hypotenuse, we can find AB. Using the law of sines that is:

AB = AC * Sin ∠DAC

Note that ∠DAC ≅ ∠1

Note that AC = 10 (properties of a Rectangle)

Thus

AB = 10 * Sin 49°

AB = 10 * 0.75470958022
AB = 7.5470958022

AB [tex]\approx[/tex] 7.5

6) BD = 10 [Qualities of a Rectangle]
7 ) CE = 5  [Qualities of a Rectangle]

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Answer:

4

Step-by-step explanation:

As the picture shows, there are positives and negatives; adding a positive number with a negative number is the same as subtracting a positive from a positive.

So, 9 + (-5) would be the same as 9 - 5.

Hope I helped!

The quotient of 3÷8 is 0.375

The number 3 is called the numerator or dividend, and the number 8 is called the denominator or divisor.

The quotient of 3 and 8, the ratio of 3 and 8, as well as the fraction of 3 and 8 all mean (almost) the same:

3 divided by 8, often written as 3/8.

The result of 3/8 is a terminating decimal with 3 digits to the right of the decimal point.

3 divided by 8 in decimal = 0.375

3 divided by 8 in fraction = 3/8

3 divided by 8 in percentage = 37.5%

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Answer: 22.627

Step-by-step explanation:

if I did this right, it would be the reverse equation:

4 * the [tex]\sqrt32\\[/tex]

i apologize if I'm wrong

The perimeter of a triangle is about 18.77 inch and the area of a triangle is about 18 [tex]inch^{2}[/tex] .

What is triangle ?

A triangle is a three-sided polygon with three straight sides. The three sides of a triangle are called edges, and the three angles of a triangle are called vertices. The sum of the three angles of a triangle is always 180 degrees.

Have given ,

length of triangle [tex]4\frac{1}{5} ,4\frac{2}{7}[/tex],

perimeter of a triangle = [tex]4\frac{1}{5} +2*4\frac{2}{7}+6[/tex] = 18.77 inch.

Area of a triangle =  [tex]\frac{1}{2}*2*4\frac{1}{5}*4\frac{2}{7}[/tex]

⇒ 18 [tex]inch^{2}[/tex].

Hence , The perimeter of a triangle is about 18.77 inch and the area of a triangle is about 18 [tex]inch^{2}[/tex] .

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The area of the circle would be 127731695.76 Km².

Given is the diameter of the circle.

The diameter is -

{d} = 12756 Km

We can write the radius as -

r = {d}/2 = 6378 Km

We can write the area as -

A = 3.14 x 6378 Km x 6378 Km

A = 127731695.76 Km²

Therefore, the area of the circle would be 127731695.76 Km².

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The Poisson probability law states that the probability of at least two changes every day is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the value or, alternatively, its distance from zero can make one less confidence in the outcome. The confidence level is based on how close the probability value is, which is calculated using a number range from 0 and 1.

Here,

calculation

The probability distribution function for X is the average number of times the event happens over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of occurrences in one period is independent of the number in other intervals.

the first step is to set the discrete random variable X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson probability law states that the probability of at least two changes every day is 0.0263.

Consequently, 0.0263% of changes that occur twice or more

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Answer: Gamma rays

Step-by-step explanation: Gamma rays have the highest energies and shortest wavelengths on the electromagnetic spectrum.