Add J St. middle school 25% of eight graders wear glasses is 100 students wear glasses how many eighth graders are there in total

Answer:x=8.47

Step-by-step explanation:

She will serve 640 hors d'oeuvres to 240 people.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total number of people = 240

Number of hors d'oeuvres per 3 people = 8

Number of hors d'oeuvres to serve 240 people.

= 8 x 240 ÷ 3

= 8 x 240/3

= 8 x 80

= 640

Thus,

The number of hors d'oeuvres to serve is 640

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a) The linear equation is given as follows: 10x + 6y = 240.

b) The graph of the linear function is given by the image shown at the end of the answer.

The first step is defining the linear function is identifying the variables, which are given as follows:

You hope to have $240 in sales. Hats cost $10 and mittens cost $6, hence the equation is given as follows:

10x + 6y = 240.

The x-intercept is the point (x,0), hence:

10x = 240

x = 24.

The y-intercept is the point (0,y), hence:

6y = 240

y = 40.

Then the line is traced connecting the points (0,40) and (24,0), with only positive values, as they represent countable amounts.

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The Length of FD = 26 cm

According to the given information

FE = FC = 12cm

As FE, FC both are radius of circle

The tangent segments to a circle from a external point are equal

Hence

CD = ED

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27/9

x = 3

CD = 13x - 16

     = 13 × 3 - 16

     = 23 cm

ED = 4x + 11

     = 4 × 3 + 11

     = 23 cm

In Triangle FED

FE is perpendicular to ED

According to Pythagoras Theorem

[tex]FD^{2}= FE^{2}+ED^{2}[/tex]

       = [tex]12^{2}+ 23^{2}[/tex]

       = 673

FD = 26 cm approx.

The Length of FD = 26 cm

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Answer:

51/4 - 9f

Step-by-step explanation:

Answer:

  12 3/4 -9f

Step-by-step explanation:

You want the simplified form of the expression 12-3/4(8f-5/3+4f+2/3).

We can simplify inside parentheses first. This consists of combining like terms.

  = 12 -3/4((8+4)f +(-5/3+2/3)) = 12 -3/4(12f -1)

Then the distributive property is applied, and like terms are combined (again).

  = 12 -9f +3/4

  = 12 3/4 -9f

Answer:

Step-by-step explanation:

An octagon is a 2-dimensional shape with 8 sides and the area is the space within the 8 sides of the shape. To calculate the area of the octagon we can use the area of an isosceles triangle. We divide the area of the shape into eight equal isosceles triangles and calculate it accordingly. A regular octagon has the length of the sides equal and the angles between these sides are equal. The measure of each interior angle is 135° and the exterior angles measure 45° each.

Area of Octagon Formula

The formula used to calculate the area of an octagon is:

2s2(1+√2), where s is the length of the side of the octagon.

Answer:

-1/4

Step-by-step explanation:

A reciprocal is simply defined as the inverse of a value or a number. So if we have a fraction of - 4/1 we can just flip the numerator and the denominator to get -1/4.

Answer:

Step-by-step explanation:

When you rotate 270 degrees counterclockwise, (a,b) turns to (b,-a)

So,

A'(-2,-6)

B'(-6,-8)

C'(-8,-4)

:]

The constant of proportionality in the inverse variation is 79.2

Constant of proportionality is defined as the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant. The value of the constant of proportionality depends on the type of proportion between the two given quantities:

This is often determined because of the formula used.

Given that the variation here is an inverse variation.

y ∝ 1/ x

y = k / x

k = y₁x₁ = y₂x₂ = y₃x₃

However, in this question, we can simply represent the constant of proportionality as

k = yx

Substituting the values given into the formula above;

k = 24 * 3.3

k = 79.2

The constant of proportionality is 79.2

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Answer:

Step-by-step explanation:

eazy 102

Answer:

c(x) = 5.50 + 21.60x

Step-by-step explanation:

To start, we are told that the service fee of 5.50 is added to the set price per ticket. So we can automatically eliminate B and D

Now, to find how much it costs per ticket, we have to divide 108.00 by 5 since we are told that it costs $108 to buy 5 tickets

108.00/5 = 21.60

This means that it costs $21.60 per baseball ticket

So the third answer choice is correct

The bijection could be defined from the set of numbers and it is proved.

We can define a bijection f from S to T as follows: for any integer x in S, let f(x) = x + 1.

To show that f is a bijection, we need to prove that it is both injective and surjective.

To prove that f is injective, suppose f(x) = f(y) for some x, y in S. Then x + 1 = y + 1, which means x = y. Thus, f is injective.

To prove that f is surjective, let y be an arbitrary element of T. Since y is odd, we can write y = 2n + 1 for some integer n. Now consider the element x = 3n in S. We have f(x) = x + 1 = 3n + 1 = y, so f is surjective.

Therefore, f is a bijection from S to T, so |S| = |T|.

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This study inferential statistics help psychologists obtain the goal of Prediction.

What is prediction in statistics?

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Answer:

1. (2x-3)(x^2+3)(x+4)

2. (3x-1)(x+5)(4x^2+1)

Step-by-step explanation:

2x^4+5x^3-6x^2+15x-36

2x^4-3x^3+8x^3-12x^2+6x^2-6x+24-36

x^3(2x-3)+4x^2(2x-3)+3x(2x-3)+12(2x-3)

(2x-3)(x^3+4x^2+3x+12)

(2x-3)[x^2(x+4)+3(x+4)]

(2x-3)(x^2+3)(x+4)

12x^4+56x^3-17x^2+14-5

12x^4-4x^3+60x^3-20x^2+3x^2-x+15x-5

4x^3(3x-1)+20x^2(3x-1)+x(3x-1)+5(3x-1)

(3x-1)(4x^2+20x^2+x+5)

(3x-1)[4x^2(x+5)+x+5]

(3x-1)(x+5)(4x^2+1)

Answer:

After 8 years working for the company, Amira would make a salary of $59000 + 8 * $3500 = $70500.

After t years working for the company, Amira would make a salary of $59000 + t * $3500.

Step-by-step explanation:

The perimeter of the triangle passing through the points A, B, C is 27.5 cm.

A triangle's perimeter and side lengths are measured in the same unit. If the sides' lengths are measured in a different unit, first convert them to that unit. Example 1: Calculate the triangle's perimeter from the information provided. A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length or a two-dimensional shape. The circumference of a circle or an ellipse is its outermost boundary.

There are many uses in real life for perimeter calculations. The length of fence needed to enclose a yard or garden is known as the calculated perimeter.

From the figure,

The triangle is passing through the points A(4, 0), B(-6, 5), C(3, 3)

By using distance formula, we have to calculate the lengths of AB, BC, CA

Length of AB=√(-6-4)²+(5-10)²

=√125

Length of BC=√(3+6)²+(3-5)

=√85

Length of CA=√(3-4)²+(3-10)²

=√50

The perimeter of a triangle=AB+BC+CA

=√125+√85+√50

=11.18+9.22+7.07

=27.47≈27.5

Therefore, the perimeter of the triangle is 27.5 cm.

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Answer:

11.4x-11.4y

Step-by-step explanation:

Distribute the 11.4

11.4x-11.4y

Correct option is C and the angle D and F are complementary angles.

∠D+∠E+∠F=180⁰

 ....Angle sum property

∵∠E=90⁰

⇒∠D+∠F=180⁰

−90 ⁰

⇒∠D+∠F=90⁰

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Answer:

3 years

Step-by-step explanation:

1600*[tex]1.05^{x}[/tex]=1852.20

1852.20/1600= [tex]1.05^{x}[/tex]

1.157625    = [tex]1.05^{x}[/tex]

[tex]log_{1.05} 1.157625= x[/tex]

x= 3

thus 3 years

The coordinate after reflection over y- axis is

A' ( 8 , 1),

B' (0 , -2)

C'( -3, 5)

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Given:

A( -8, 1), B(0, -2) and C(3, 5).

As, The rule for a reflection over the y -axis is (x,y)→(−x,y) .

So, the coordinate after reflection is

A' ( 8 , 1),

B' (0 , -2)

C'( -3, 5)

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By using probability, it can be calculated that

Probability that when two balls are selected at random with no replacement , both are green = 0.357

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Number of green balls = 5

Number of red balls = 3

Total number of balls = 5 + 3 = 8

Probability that when two balls are selected at random with no replacement , both are green = [tex]\frac{5}{8} \times \frac{4}{7} = \frac{5}{14} = 0.357[/tex]

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The number is 4.

If you take a number, times by 3 then add 5, you get (3x + 5).

If you take the same number and times by 7 then subtract 8, you get (7x - 8).

Set the equations equal to each other:

3x + 5 = 7x - 8

Subtract 3x from both sides:

5 = 4x - 8

Add 8 to both sides:

13 = 4x

Divide both sides by 4:

4 = x

Therefore, the number is 4.

The inequality that models Cassie situation is t ≥ 49.25  

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Cassie is swimming backstroke for her team at the Tri-County Swim Meet. The fastest time so far is 49.25 seconds. Cassie wants to either beat or tie for the fastest time.

The inequalities that models the story is as follows:

let

Cassie has to equal the record or beat the record.

Therefore, the inequalities that represent the story is t ≥ 49.25

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The statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups is independent-sample t test.

Given that,

We have to find the statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups.

We know that,

The independent Samples t take a look at analyzes the manner of two separate organizations to see if there's statistical guide that the populace imply values are statistically extensively distinctive. A parametric take a look at is the unbiased Samples t take a look at.

since, the two agencies are independent and we're checking if difference is good sized is independent-samples t test.

consequently, the statistical test that compares the distribution of imply differences between two companies to the imply difference among  corporations is unbiased-pattern t check.

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Yes. The decision of watching a movie on television is a technique of sampling.

Given,

If you decide whether or not you want to see a new movie or television program on the basis of the "coming attractions" or television commercial previews.

We have to find that whether it is using a sampling technique here;

Here,

Yes, this is a sampling technique. This kind of sampling, meanwhile, is typically not of a scientific nature. Instead of being representative of those movies, the parts that are shown are typically the most entertaining. Although a subset of all potential television shows or movie scenes have been observed, they are not chosen at random to make up the sample.

That is,

Yes. The choice to watch a movie on television is a sampling technique.

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The given quadrilateral ABCD is a parallelogram because the diagonals bisect each other.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

Given:

AC and BD are diagonals of quadrilateral ABCD.

From diagram we can see that the measure of AO and OC is same which is 4.

Also measure of BO and OD is same which is 6.

That is diagonals bisects each other.

Hence, the given quadrilateral ABCD is a parallelogram because the diagonals bisect each other.

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As per the concept of function, the arguments supplied to the IF function, in order, are the condition for execution, the result if condition is true, and the result if condition is false.

What is meant by function?

In math, function refers an expression, rule, or law that defines a relationship between one variable also known as the independent variable and another variable also known as the dependent variable.

Here we need to find the missing term of the given statement the arguments supplied to the if function, in order, are the condition for execution.

Here we have given that, the if function refers decision-making statement that guides a program to make decisions based on specified criteria.

When the IF statement executes one set of code if a specified condition is met (TRUE) or another set of code evaluates to FALSE.

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Considering the  car production in Geometric progression (a) about 25th term is 7.00*10¹⁹ cars can be produced in the first 25th week. (b) in the first 6 months, there will be 7.1*10¹⁸ cars. ( c) production in the next 6 months would be 7.1*10¹⁸ cars too

Geometric progression is the type of sequnce in which consecutive terms are gotten by the multiplication of a constant term known as the constant ratio.

the given parameyers are

a=150 cars

r=1.75%

r=1.75/100*150

r= 6.6

Nth term of GP is given as

Nth = [tex]ar^{n-1}[/tex]

a.  The 25th term is given as

25th= [tex]150*6.6^{24}[/tex]

25th term is 7.00*10¹⁹

b.  In a month, there are 4 weeks

in 6 months there are 4*6 = 24 weeks

524th term is 150*6.6²³

7.1*10¹⁸

c.  In a month, there are 4 weeks

in 6 months there are 4*6 = 24 weeks

524th term is 150*6.6²³

7.1*10¹⁸

In conclusion there will be  7.00*10¹⁹ cars , 7.1*10¹⁸  cars and 7.1*10¹⁸ cars for options a, b, and c respectively

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The length of one side is 20 ft and the other side of the yard is 33 ft.

Let the length of the side opposite to the house be x ft.

We know that the yard to be fenced is rectangular. Hence the opposite sides of the yard are going to be equal.

It is given that the side opposite to the wall is 13 ft less than the length f the other two sides.

Hence the length of the side adjacent to the house will be

(x + 13) ft

The fencing needs to be done on these three sides. We already know that the length that has been fenced is 86 ft.

Hence, we get

x  +  x + 13  +  x + 13  =  86

or, 3x + 26 = 86

or, 3x = 86 - 26

or, 3x = 60

or, x = 60/3

or, x = 20.

Hence the length of one side is 20 ft and the length of the other side is

20 + 13

= 33 ft.

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Answer:

112b^2

Step-by-step explanation:

When you multiply two negative numbers, the outcome will always become positive.

7bx16b= 112b^2

Answer:

112b^2

Step-by-step explanation: