last week, 3/4 of the students in Mr. Zanker's class went on a field trip. 5/8 of the students in Mr. Haynes's went. What is the average fraction of students in the two classes who went on the field trip?

Answer: 70 in.

Step-by-step explanation:

So we know that the perimeter of a rectangle =2(Length*Breadth)

Given =

Area of the rectangle = 35 [tex]in.^{2}[/tex]

Length = 7 in.

Area of a rectangle = Length*Breadth

35 = 7*Breadth

[tex]\frac{35}{7}[/tex] = Breadth

5 = Breadth

Now we can find out the perimeter of the rectangle =

= 2(Length*Breadth)

= 2(7*5)

= 2*35

= 70 in.

The graph of the equation y = -6/7x + 2 that shows the slope and y-intercept is shown in the image attached.

y = mx + b represents the equation of a line in slope-intercept form. In y  mx + b, we have the following parameters of the line it represents:

Given the equation of a line in slope-intercept form as y = -6/7x + 2, it means that the graph of the line you are to plot would have a negative slope (m) of -6/7, and must intercept the y-axis at y = 2.

So, to draw the line of the equation that was given in slope-intercept form as y = -6/7x + 2, you have to use a slope of -6/7 that show the steepness of the line, and a y-intercept of 2, that shows where the line intercepts the y-axis of the graph at y = 2, of which the corresponding x-coordinate must be equal to zero.

Therefore, the graph of y = -6/7x + 2 is shown below.

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The equivalent fractions shown on the fraction bar is 3/4 and 6/8.

The multiplier is 2.

The equivalent fractions shown on the fraction bar are 4/6 and 12/18.

The divisor is 3.

A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.

Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.

In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.

In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.

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Answer:

[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]

[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]

Define the given points:

Substitute the defined points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]

[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]

Substitute point (9, 8) and the found slope into the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]

To write the equation of the line in slope-intercept form, rearrange the point-slope formula:

[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]

[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]

[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]

[tex]\implies y=\dfrac{1}{3}x+5[/tex]

Answer: 2.An element from the domain is paired with more than one element from the range.

Step-by-step explanation:

I did the quiz

Correct me if im wrong

Have a great day!

Answer:

3x^2-2x+3 with a remainder of 1/x+2

Step-by-step explanation:

[tex]-(5)^{2*4} \\-(5)^{8} \\\\=-390,625[/tex]

The measure of the triangle for the value of x is x = 11.

A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon.

For the given value of triangle;

The three angles are given as;

By the sum of all angles of triangle property.

The sum of all three angles of the triangle is 180°

Thus,

3x + 8 + 4x + 11 + 84 = 180

Simplifying;

7x = 180 - 103

7x = 77

x = 11

Thus, the solution of x of the given triangle is found as x = 11.

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Answer:   2 x 4

Reason:

There are 2 rows and 4 columns. The order is important since 4x2 is different from 2x4.

Answer: Option D is correct.

y = -4x + 4

Answer:

y = -4x + 4

Step-by-step explanation:

D. is your answer ^^

Considering the definition of parallel line, the statement "They are parallel" describes the graph of y= -x+3 and y=-x+6.

A linear equation o line can be expressed in the form y = mx + b

where:

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.

In this case, you know:

Two lines are parallel if they have the same slope and different y-intercepts. Then, both lines are parallel.

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The composite result function of ( f ° g )(x) in the given functions f( x ) = x² + 9 and g( x ) = x² - 9 is x⁴ - 18x² + 90.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, we set up the composite result function f(g(x)).

f( x ) = x² + 9

f( g(x) ) = f( x² - 9 ) = ( x² - 9  )² + 9

f( g(x) ) = ( x² - 9  )² + 9

Expand the parenthesis

f( g(x) ) = ( x² - 9 )( x² - 9 )  + 9

f( g(x) ) = ( x²( x² - 9 ) -9( x² - 9 ) + 9

f( g(x) ) = x⁴ - 9x² - 9x² + 81 + 9

Collect and add like terms

f( g(x) ) = x⁴ - 18x² + 81 + 9

f( g(x) ) = x⁴ - 18x² + 90

Therefore,  ( f ° g )(x) in the given functions is x⁴ - 18x² + 90.

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Angle #1 = 90 Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 22= 90. Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 8 = 90 . Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 2 =  90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

#17 = 60. Reason:  We have the sum of all interior angles at 180.

180 degrees  = 30+ 90+ #17

so # 17 = 180 - ( 30+90) = 60.

#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

# 19= 90. Reason:  Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#21 = 90.  Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 16 = 60  Reason:  We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180

so # 16 + #27 = 180-90 = 90.

#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.

#27 = 30.

Answer:

B

Step-by-step explanation:

3 5/6 = 23/6

Reciprocal: 6/23 i hope you pass(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

If a triangle has an area of 20in every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180in . the scale factor is 3.

First step is to calculate the area

Area:

Area = New triangle /Old triangle

Area = 180 / 20

Area = 9

Second step is to calculate the ratio of areas

Ratio of areas :

Ratio of areas = 9

Ratio of areas = (3)²

Hence,

Scale factor : 3

Therefore the scale factor is 3.

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Missing value of the table is 9.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.

Given Data

Violins

Cellos

8  24

3

Let missing number be x

[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]

When we compare two ratios, they are said to be equivalent.

If two or more ratios have the same value when reduced to their most basic form, they are said to be equal

simplifying, [tex]\frac{8}{24}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]

Missing value of the table is 9.

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Answer:

6 out of 24

Step-by-step explanation:

5+5+6+8 = 24

there are 6 peanut butter cookies

In all there are 24 cookies

Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.

Answer:

Step-by-step explanation:

hshshaahhs

One possible solution to the system of inequalities is (90, 50)

From the question, we have the following parameters:

Supplies = 120 tacos or burritos

This means that

x + y = 120

Where x represents the number of tacos and y represents the number of burritos

Also, we have

She must sell no less than $580

This means that

3.75x + 7.25y >= 580

So, we have the system of inequalities to be given as

x + y = 120

3.75x + 7.25y >= 580

Next, we plot the system of inequalities on a graph

See attachment for the system of inequalities on a graph

From the attached graph, we have both lines of the graph intersect at (82.857, 37.143)

When the point is moved to the shaded region, we have one of the possible points to be (90, 50)

Hence, the solution to the system of inequalities is (90, 50)

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Answer:

y = (5/2)x + 2

Step-by-step explanation:

(2, 7)

(x₁, y₁)

m = (5/2)

y - y₁ = m(x - x₁)

y - 7 = (5/2)(x - 2)

y - 7 = (5/2)x - 5

   +7              +7

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

y = (5/2)x + 2

I hope this helps!

Answer:

neither

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

I graphed it on desmos. It showed the lines intersecting each other. Intersection is not the same as perpendicular. Intersecting goes all the way through while perpendicular doesn't.

Sorry, I see my mistake now.

Hope this helps! :)

The next fraction in the given sequence is 13/18

In this question, we have been given a sequence of fractions.

17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .

We need to determine the next fraction in the given sequence.

We rewrite the fraction 8/9 as,

8/9 = 8 × 2 / 9 × 2

      = 16/18

We rewrite the fraction 5/6 as,

5/6 = 5 × 3 / 6 × 3

      = 15/18

We rewrite the fraction 7/9 as,

7/9 = 7 × 2 / 9 × 2

      = 14/18

This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...

From this sequence, the next fraction would be 13/18

Therefore, the next fraction in the given sequence is 13/18

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The percentage change is 16%

The initial value is 125.99

It changed to 150

The percentage change can be calculated  as follows

= 150 - 125.99/150 × 100

= 24.01/150 × 100

= 0.16 × 100

= 16%

Hence the percentage change is 16%

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Answer:

0.5 entrances per minute

Step-by-step explanation:

9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?

9/18 = 0.5 entrances per minute

Answer: 2 minutes/Customer

Step-by-step explanation:

Total time passed: 18 minutes

Total customers entered: 9 nos.

using unitary method, number of minutes requires for one customer to enter or minutes per customer is:

18/9 that is , 2 minutes/customer.

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Answer:

(-5, -3)

Step-by-step explanation:

We can use the fact that the diagonals of a parallelogram bisect each other

Let me classify the points as

A (-4, 7)

B (2, -5)

C (3, 5)

Let us assume the 4th vertex is D(x, y) where x and y have to be determined

We will assume that AB is the diagonal of the parallelogram ABCD

The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates

If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)

We know the other diagonal CD must pass through point O and O is also the midpoint of CD

Therefore if coordinates of D are (x, y)

then  x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==>  - 1 = (3 + x)/2

=> -2 = 3 + x

=>  -2 - 3 = x

=> -5 = x

=> x = -5

Similarly
1 = (5 + y)/2

=> 2 = 5 + y

=> 2 - 5 = y

=> -3 = y

y = -3

So the coordinate of the fourth vertex D are (-3, -5)

Check the attached graphs for a clearer understanding

Answer:

48[tex]cm^{2}[/tex]

Step-by-step explanation:

1.  We need 2 integers (full number) when added gives us 7

this is 4 and 3

2. so the width of the rectangle is 3cm and the length is 4cm

3. to find one area of a rectangle we do

  4cmx3cm= 12[tex]cm^{2}[/tex]

4. There is 4 rectangles, so we do

      4x12[tex]cm^{2}[/tex]= 48[tex]cm^{2}[/tex]

5. so the total area of the pattern is

     = 48[tex]cm^{2}[/tex]

The appropriate choice of ratio  will be given by

She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.

What is ratio?

Ratio determines the comparision among many quantities with the same unit.

Here,

Let the number of cups of Cranberry juice be 4x,

Number of cups of lemon lime soda be x

Number of cups of orange juice be 2x,

Number of cups of pineapple juice be 2x

Total = 4x + x  + 2x + 2x = 9x cups

By the problem,

                          9x = 27

                            x = [tex]\frac{27}{9}[/tex]

                            x = 3

Number of cups of orange juice = 2 * 3 = 6 cups

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