determine the intercepts of the line.
-4x + 7y = 3

The partners are assigned in the form of (1, 15) (2, 14) (3, 13) (4, 12) (5, 11) (6, 10)  (18, 7) (17, 8), and (16, 9).

A square number, also known as a perfect square, is an integer that is the square root of another integer, or the result of multiplying another integer by itself.

For example:

Square of 2 = 4

Square of 3 = 9

Square of 4 = 16

Here we have  

A science class is pretty small

There are just 18 students in the class.

The teacher gave each of them numbers from 1 through 18 on lab days

Start from 1 and find by adding which number we will get a square number

Here  1 + 15 = 16

2 + 14 = 16

3 + 13 = 16

4 + 12 = 16

5 + 11 = 16

6 + 10 =16

After the above combinations, the remaining numbers are

7, 8, 9, 16, 17, 18          

which can be added as given below to get square number 25  

=>  18+7=25

=>  17+8=25

=>  16+9=25  

Therefore,

The partners are assigned in the form of (1, 15) (2, 14) (3, 13) (4, 12) (5, 11) (6, 10)  (18, 7) (17, 8), and (16, 9)  

Learn more about Square numbers

https://brainly.com/question/28610159

#SPJ1

Answer:

x-variable    y-variable    Inequalities

calculus       physics        7≤x≤14

                                        8≤y≤12

                                        x+y≤23

Step-by-step explanation:

The other three measures are:

This, I assume, refers to two lines that cross and create four angles.

The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.

Since vertical angles are congruent in measure, it is simple to determine their measurements.

Hence, the three measures are:

To learn more about Angles click on the link

brainly.com/question/25716982

#SPJ1

The height of the poster is 20 inches.

The original width of the poster was 6 inches. The original height of the poster was 4 inches. The size of the poster is scaled up. This is a transformation of the size of the poster. The width of the scaled-up poster is 30 inches. We need to find out the height of the scaled-up poster.

The scaling transformation preserves the shape of the object. This means the sides must still be in the same proportion. Let the constant of proportionality be represented by the variable "k".

30 = k*6

k = 30/6

k = 5

Hence, the poster is scaled up by a factor of five.

H = k*4

H = 5*4

H = 20

Hence, the height of the scaled-up poster is 20 inches.

The complete question is given below.

Amir wants to scale up a photo to create a poster for his room. The original picture is 6 inches in width and 4 inches in height. What will be the height of the poster if its width is 30 inches?

To learn more about height, visit :

https://brainly.com/question/10726356

#SPJ4

By using the concept of translation, it can be inferred that

The graph of the equation is translated 3 units to the left and 4 units down

What is translation?

Translation is a transformation which changes the position of a figure without changing the shape and size of the figure.

The given equation is

[tex]y = (x +3)^2 + 4[/tex]

This means the parabola [tex]y = x^2[/tex] is first translated 3 units to the left and then translated 4 units up.

So the first option is correct.

To learn more about translation, refer to the link-

https://brainly.com/question/1046778

#SPJ1

Each section of a highway has length of 1.5 miles.

In this question, Ms. Galindo’s class has adopted two equal sections of a highway to keep clean.

We need to find the length of each section.

Let each section measures x mile.

The combined length of the two sections is 6/8 of a mile.

So, we get an equation x + x = 6/8

We solve above equation to find the value of x.

2x = 6/8

x = (6/8) / 2

x = 6/4

x = 1.5

Therefore, each section of a highway has length of 1.5 miles.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

The equation of the linear function represented by the table would be y = 4x - 1.

What is the slope-intercept form of the line?

When you know the slope of the line to be examined and the point given is also the y-intercept, you can use the slope-intercept formula

                               y = mx + c.

The y value of the y-intercept point is represented by c in the formula.

By using the given table,

for x = 0 , y = -1

so by using the slope-intercept form of the line, we can write

              y = mx + c

              -1 = m(0) + c

               c = -1 ----------(I)

Then for x = 1, y = 3

again by using the slope-intercept form of the line, we can write

                  y = mx + c

                 3 = m(1) + (-1)  -----from (I)

                  3 = m - 1

             ⇒ m = 3 + 1

             ⇒ m = 4 -----------(II)

Now by using (I) and (II), we can make a linear function by using the slope-intercept form of the line

                     y = 4x - 1

Hence, the equation of the linear function represented by the table would be y = 4x - 1.

To learn more about the slope-intercept form of the line, visit:

https://brainly.com/question/24907633

#SPJ1

Answer:

Part A. (4,5)

Part B. (9,7)

Step-by-step explanation:

Look at the x an y. X is bottom numbers Y is the vertical numbers. Look at A then B and boom you would get what i got.

The first five terms of the given sequence are a₁ = 50, a₂ = 25, a₃ = 12.5, a₄ = 6.25 and a₅ = 3.125.

In a geometric sequence the ratio of any two consecutive terms are equal. This ratio is known as the common ratio of the sequence.

Given that,

a₁ = 50 and aₙ = aₙ₋₁ ÷ 2

The first five terms are a₁, a₂, a₃, a₄  and a₅.

All the terms can be written using  aₙ = aₙ₋₁ ÷ 2 as follows,

a₂ = a₁ ÷ 2

⇒ a₂ = 50 ÷ 2

⇒ a₂ = 25

a₃ = a₂ ÷ 2

⇒ a₃ = 25 ÷ 2

⇒ a₃ = 12.5

a₄ = a₃ ÷ 2

⇒ a₄ = 12.5 ÷ 2

⇒ a₄ = 6.25

a₅ = a₄ ÷ 2

⇒ a₅ = 6.25 ÷ 2

⇒ a₅ = 3.125

Hence, the first five terms are 50, 25, 12.5, 6.25 and 3.125 respectively.

To know more about geometric sequence click on,

https://brainly.com/question/11266123

#SPJ1

Answer: D

PLEASE GIVE BRAINLIEST THANK YOU!!!

Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.

Here,

Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.

There are 47 people who can play both the clarinet and the flute.

As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.

Probability(P),

P=( 125 / 350)

P=0.2743.

Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.

Visit this website to learn more about probability,

brainly.com/question/11234923

#SPJ4

The ordered pair coordinates of A' are (2, -6) if A is reflected over the y-axis.

The transformation, or f: X → X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.

The coordinates of A are (-2, -6).

Point A is reflected over the y- axis to create point A'

(x, y) → (-x,y)

A (-2, -6) → A' (- (-2), -6))

So, the coordinates of A' are (2, -6).

To know more about transformations, visit:

https://brainly.com/question/11709244

#SPJ1

Answer: The competing restaurant

Step-by-step explanation:

If you divide the 4.52 by 2 you get 2.26 for the first restaurant's unit price

If you divide the 9.44 by 2 you get 2.36 for the second restaurant's unit price

Hope this helps :)

The equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

The equation of the parallel line is given

6x + y = -8

y = -8 -6x

y = -6x - 8

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Comparing the equation

Slope of the line m = -6

The slope of the all the parallel lines will be equal

Then line is passing through the point (7, 7)

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the values in the equation

y-7 = -6(x-7)

y - 7 = -6x + 42

y = -6x +42 +7

y = -6x + 49

Hence, the equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ1

The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The water output rate for the Tran family's sprinkler was 35 L per hour.

The water output rate for the Campbell family's sprinkler was 25 L per hour.

And, The families used sprinklers for a combined total of 65 hours, which is resulting in a total water output of 1925 L.

Now,

Let time in hours for the Tran family's sprinkler = t

And, The time in hours for the Campbell family's sprinkler = 65 - t

So, We can formulate by the given condition,

⇒ 35t + 25 (65 - t) = 1925

Solve for t as;

⇒ 35t + 25 (65 - t) = 1925

⇒ 35t + 1625 - 25t = 1925

⇒ 10t + 1625 = 1925

⇒ 10t = 1925 - 1625

⇒ 10t = 300

⇒ t = 30

Thus, The time in hours for the Tran family's sprinkler = t

                                                                                   = 30 hours

And, The time in hours for the Campbell family's sprinkler = 65 - t

                                                                                          = 65 - 30

                                                                                          = 35 hours.

Therefore, we get;

The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

The values are not equivalent to 2.2 include

2.6 - 0.6

1.8 + 2.5

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, 2.6 - 0.6 will be:

= 2.6 - 0.6

= 2.0

Also, 1.8 + 2.5 will be:

= 1.8 + 2.5

= 4.3

Therefore, they're not equivalent to 2.2

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Complete question

During a bean bag toss, Abby threw the bean bag 2.2 meters. Which of the following values are not equivalent to 2.2

1.2 + 1.0

2.6 - 0.6

0.9 + 1.3

1.8 + 2.5

The coordinates of A'', applying the two rotations, are given as follows:

A'' (4, 3).

A rotation is one example of transformation that a function can undergo, in which the congruence and similarity of the images are kept but the orientation of the image changes.

The rules for each possible rotation are given as follows:

The original coordinates are given as follows:

A(-3,4).

After the first 180º clockwise rotation, the coordinates are:

A'(3,-4).

(signals exchanged)

After the final rotation, the 90º counterclockwise rotation, the coordinates of A'' are given as follows:

A'' (4, 3).

More can be learned about rotations at https://brainly.com/question/24951838

#SPJ1

Answer:

-1,-2

Step-by-step explanation:

get the x and y value and combine the coordinates using the slope formula

Answer:

m=2

Step-by-step explanation:

-16=m-18

-16+18=m

2=m

In 120 different variations of this model car are possible.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.

Given,

There are five different ways to choose a car's color.

3 different car transmission selection options are available.

There are four different interior automobile selection options.

There are two different ways to pick a car's engine.

The potential number of car variations is thus:

Multiplying:

5 × 3 × 4× 2

120

In 120 different variations of this model car are possible.

To learn more about multiplication, visit:

https://brainly.com/question/5992872

#SPJ4

hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

Answer:

[tex]4 \frac{23}{40}\; \rm miles[/tex]

Step-by-step explanation:

To find how many more miles Ada lives from her grandmother's house than her aunt's house, we need to subtract the distance to her aunt's house from the distance to her grandmother's house.

Ada lives 17 3/8 miles from her grandmother's house.

Ada lives 12 4/5 miles from her aunt's house.

Convert both mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

[tex]17 \frac{3}{8}=\dfrac{17 \cdot 8+3}{8}=\dfrac{139}{8}[/tex]

[tex]12 \frac{4}{5}=\dfrac{12 \cdot 5+4}{5}=\dfrac{64}{5}[/tex]

As both improper fractions have a different denominator, we need to change both fractions into equivalent fractions with the same denominator. To do this, find the least common multiple (LCM) of the denominators, 8 and 5.

The LCM of 8 and 5 is 40. Therefore, convert the fractions into their equivalent fractions (with 40 as their denominator) by multiplying the numerator and denominator by the same number:

[tex]\dfrac{139}{8}=\dfrac{139 \cdot 5}{8 \cdot 5}=\dfrac{695}{40}[/tex]

[tex]\dfrac{64}{5}=\dfrac{64 \cdot 8}{5 \cdot 8}=\dfrac{512}{40}[/tex]

Now the fractions have the same denominator, we can carry out the subtraction by simply subtracting the numerators:

[tex]\dfrac{695}{40}-\dfrac{512}{40}=\dfrac{695-512}{40}=\dfrac{183}{40}[/tex]

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

[tex]183 \div 40=4\;\rm remainder \;23[/tex]

The mixed number answer is the whole number and the remainder divided by the denominator:

[tex]4 \frac{23}{40}[/tex]

Therefore, Ada lives 4 23/40 miles more from her grandmother's house than her aunt's house.

Answer: D

Step-by-step explanation:

Take the equation and substitute the variables for the numbers given

-7(-4-4(-6))=-140

Hope this helps :)

The value of 3 in 5.53 is 3 hundredths.

It is important to note that place values can be defined as the value that's represented by a digit based on the position that it takes. In mathematics, place value refers to the position or location of a digit in a number.

Each digit has a specific place in a number. The position of each digit will be expanded when we represent the number in general form. Those positions begin with a unit place, also known as one's position.

In this case, we want to know the value of 3 in 5.53. It should be noted that the first 5 is 5 ones, the second 5 is 5 tenths and the 3 is 3 hundredths.

Therefore, it's 3 hundredths.

Learn more about place values on:

brainly.com/question/1654524

#SPJ1

Complete question

What is the value of 3 in 5.53?

Answer:

Step-by-step explanation:

Area of a rectangle is given by the formula :

A = L × W

Substituting 90 with A , x with W and (x+3) with L, we get :

90 = (x+3)×x

Simplifying the right side by expanding the bracket :

x(x+3) =

x²+3x
90=x²+3x

Now we can make a quadratic by subtracting both sides by 90 :

x²+3x-90 =0

I'm not sure about the rest

a. Angle 4 is an alternate exterior angles to angle 8.

b. Angle 3 is same-side interior angle to angle 2.

c. Angle 1 is corresponding angles to angle 3.

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

Alternate exterior angles are any two exterior angles that lie on two different parallel lines but on alternate sides of the transversal that crosses the two parallel lines.

For example, in the image given, angles 8 and 4 are alternate exterior angles.

Same-side interior angles are interior angles that are located on the same side of the transversal but on different parallel lines that the transversal cuts across.

For example, angles 2 and 3 are same-side interior angles as seen in the given image.

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

Learn more about angles formed by parallel lines on:

https://brainly.com/question/16812123

#SPJ1

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (10, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{10-1}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]