if line 1= y=-1/2x-4 and line 2= x+2y=-8 how many soloutions are there and what is the coordinate.

If the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle, let's call the measure of the larger angle "x". Then, the measure of the smaller angle would be 0.25x.

In a parallelogram, opposite angles are equal in measure. So, if one angle measures x, the opposite angle would also measure x. And if one angle measures 0.25x, the opposite angle would also measure 0.25x.

Therefore, the sum of the measures of the angles in a parallelogram would be x + x + 0.25x + 0.25x = 2x + 0.5x = 2.5x.

Since the sum of the measures of the interior angles in a parallelogram must equal 360 degrees, we can set up the following equation:

2.5x = 360

Solving for x, we get:

x = 144

0.25x = 0.25*144

         = 36

To learn more about parallelogram here:

https://brainly.com/question/29147156

#SPJ4

The coefficient  of 6x is 6.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

We have to write the coefficient of 6x.

As, coefficient is the number which is just before the variable like in 2x 'x' is the variable and '2' is the coefficient.

So, the coefficient 6x is 6.

Learn more about expression here:

https://brainly.com/question/17303101

#SPJ9

The sum of the 10th square number and the 9th square number is, 181

A number is multiplied by itself when it is squared. For instance, when you square the number 3, you get the result 9 (3 x 3). Superscript "2" is the symbol for squaring a number. For instance, 32 = 9 can be used to represent the square of 3.

Numerous crucial mathematical properties and applications of squaring a number can be found in number theory, algebra, and geometry. Squaring, for instance, can be used to solve quadratic equations or to determine the area of a square, the distance between two points, or both. A number's ability to form a perfect square can also be determined by squaring it.

The 10th square number is 10² = 100

and the 9th square number is 9² = 81.

So, the sum of the 10th square number and the 9th square number is:

= 100 + 81

= 181

Therefore, the sum of the 10th square number and the 9th square number is 181.

To know more about squares check:

https://brainly.com/question/14198272

#SPJ9

The area of Andrea’s backyard, not including the swimming pool, is 340 feet²

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle = length x width.

Given:

A rectangular swimming pool has 10 feet long and 6 feet wide.

The area of a rectangle is:

A= L x W

A = 10 x 6

A = 60 ft²

Now, the area of the Andrea’s backyard (A2) is 400 ft²,

So, area of backyard not including the swimming pool​

Area = Area of backyard - area of pool

A =400 ft²-60 ft²

A =340 ft²

Learn more about Area of rectangle here:

https://brainly.com/question/8865269

#SPJ9

Step-by-step explanation:

the 3rd, 5th and 6th answers are correct.

Answer:

3, 5, 6

Step-by-step explanation:

For every change in x of 1, there is a change in y of -2.

For an equation to be linear, equal changes in x must produce equal changes in y.

Since that is true here, it is a linear equation.

Point (0, 5) gives you the y-intercept, b = 5.

From (0, 5) to (1, 3), you can calculate the slope:

slope = m = (3 - 5)/(1 - 0) = -2

The equation is y = -2x + 5

The true statements are: 3, 5, 6

The proportional symbol in statistics is to express the percentage of a population that possesses a particular feature.

To express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.

We can select a random sample of people from the population and count the number of people who own cars, for instance, if we are interested in the percentage of residents of a city who drive. In our sample, let "x" represent the number of car owners, and "n" represent the total number of participants. The sample percentage of cars is thus to express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ4

To determine which expression has a greater value for Y + 6, we need to isolate Y + 6 on one side of the equation and compare the two expressions.

Starting with 4(y + 6) = 48, we can distribute the 4 to get 4y + 24 = 48. Subtracting 24 from both sides gives us 4y = 24, and then dividing both sides by 4 gives us y = 6. So, for this expression, the value of Y + 6 is 6 + 6 = 12.

Next, for 12(y + 6) = 48, we can distribute the 12 to get 12y + 72 = 48. Subtracting 72 from both sides gives us 12y = -24, and then dividing both sides by 12 gives us y = -2. So, for this expression, the value of Y + 6 is -2 + 6 = 4.

Therefore, the value of Y + 6 is greater in 4(y + 6) = 48 than in 12(y + 6) = 48.

Answer:

The value of y + 6 is greater in the first equation.

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

Divide both sides of the first equation by 4:

Divide both sides of the second equation by 12:

As we see the first expression has greater value since 12 > 4.

The probability of the parents having a child who is homozygous dominant for this trait is 25%

In the given question, there is a particular character that has two alleles Y dominant allele and y recessive allele. Both parents are heterozygous for the trait that is encoded as Yy cross with Yy.

                                   (1/4)x100 = 25%

Thus, the correct probability would be 25%

To learn more about probability here:

brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

A contrapositive is a logical equivalent of the original statement that has the opposite direction and negated conclusion. It can be proven by using the following steps:

Start with the original statement in the form of "If P, then Q".

Negate both the hypothesis (P) and the conclusion (Q) of the original statement.

Conjoin the negated hypothesis and the negated conclusion to form a new statement.

Show that the contrapositive is logically equivalent to the original statement, meaning that it has the same truth value as the original statement for all possible cases.

For example, consider the statement: "If it rains, the roads will be wet." The contrapositive of this statement is "If the roads are not wet, it did not rain." To prove the contrapositive, we can use the following steps:

Start with the original statement "If it rains, the roads will be wet."

Negate both the hypothesis and the conclusion: "It does not rain" and "The roads are not wet".

Conjoin the negated hypothesis and the negated conclusion: "It does not rain and the roads are not wet."

Show that the contrapositive is logically equivalent to the original statement by considering all possible cases:

If it rains, the roads will be wet (as stated in the original statement), and the contrapositive "It does not rain and the roads are not wet" is false.

If it does not rain, the roads will not be wet (as stated in the contrapositive), and the original statement "If it rains, the roads will be wet" is false.

This shows that the contrapositive is logically equivalent to the original statement, and we can use it to draw the same conclusion with a different proof.

The three consecutive integers are 46, 47, 48.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

Let the three consecutive integers be represented as x,x+1,x+2

As per the requirement, largest integer is 44 less than twice the smallest.

=> x+ 2 = 2x -44

=> 2x -x = 2+44

=> x= 46

So the three integers are 46, 47, 48

Verification:

Largest integer = 48

Smallest integer = 46

2 * smallest integer - 44

= 2* 46 - 44

= 48

Largest integer is also 48.

So the required condition in the question is satisfied by these three integers.

To learn more on number click:

brainly.com/question/17429689

#SPJ9

1. The area of the mat is 1 in² and the cost is $0.05

2. The area of the mat is 4 in² and the cost is $0.2

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

The area of a square = l²

1. the area = 1×1 = 1 in²

since $0.05 is the cost per in²

therefore the cost of the mat is $0.05

2. the area = 2× 2 = 4 in²

therefore the cost = 4 × 0.05

= $0.2

learn more about area from

https://brainly.com/question/25292087

#SPJ1

Answer: y = 4 + 2.50(x > 2)

Step-by-step explanation: y is the outcome, the fixed cost is 4, and the variable cost is 2.50 × (x > 2).

False: The decrease in sample size will increase the margin of error and decrease the confidence interval.

Interval is a set of values that are located between two specific points on a line. It can be used to measure the amount of time between two events, the difference between two numbers, or the distance between two points. Intervals can also be used in data analysis to identify patterns or trends. In mathematics, intervals are often represented as a pair of numbers, such as (1, 5).


The decrease in sample size will decrease the margin of error and increase the confidence interval. This is because when the sample size is decreased, the margin of error is increased and the confidence interval is decreased since the precision of the estimate is lower. This means that the range of the confidence interval is wider and the estimates are less precise.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

Answer:

12 carrots

Step-by-step explanation:

If there is 3 times as much cabbages as there is carrots, and there is 36 cabbages then you would do 36/3 because of the 3 times as much.  The answer would be 12 carrots.

36/3=12

Answer: The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

We can choose any two points from the table to find the slope. Let's use the points (1, 10) and (5, -5):

m = (-5 - 10) / (5 - 1) = -15 / 4 = -3.75

So, the slope of the line represented by the table (x = 1, 3, 5, y = 10, 5, 0, -5) is -3.75.

Step-by-step explanation:

Answer:8

Step-by-step explanation:

The steps to explain and show how to evaluate a·b for a = 5 and b = 8 include the following:

Steps                                  a·b___

Substitute 5 for a              5·b

Substitute 8 for b              5·8

Multiply                              40

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression:

Expression = a·b

Expression = 5 × 8 (Substitute 5 for a and substitute 8 for b)

Expression = 40 (multiply).

Read more on expression here: brainly.com/question/25767785

#SPJ1

Answer:

cost of television + cost of DvD =1140

cost of television =3×cost of DVD

3×cost of DVD+cost of DVD =1140

4×cost of DVD =1140

cost of DVD =285$

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A boat leaves the dock and travels 10 miles due south, then 24 miles due west.

Then the distance from the boat to the dock is given as,

d² = 10² + 24²

d² = 100 + 576

d² = 676

d = 26 miles

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/21926466

#SPJ9

Answer:

Step-by-step explanation: umm i'm a middle schooler so i tried i'm sorry.

Answer:

Step-by-step explanation:

to answer the questions.

Part A

To the nearest inch, how many inches is the height of the cylindrical package?

Part B

The company decides to keep the radius the same and double the height. Rounded to the nearest hundredth, how many cubic inches is the new volume of the package?

The constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables.

The proportionality constant, k, is often used.

So, the Constant of Proportionality is as follows:

C = y/x

Now, insert values as follows:
C = y/x

C = 13.35/3.56

C = 3.75

Therefore, the constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

Know more about the Constant of Proportionality here:

https://brainly.com/question/27598477

#SPJ1

Correct question:

Proportionality constant between 3.56 and 13.35?

A B C D E F G H I J K L M N O P Q R S T U V W X Y AND Z NOW I KNOW MY ABCS NEXT TIME WONT YOU SING WITH MEEEEEEEEE

Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since there is a 30% chance of rain on any given day, there is a 70% chance that it will not rain on a given day.

To calculate the expected number of days it will rain during your visit, we can use the formula:

Expected number of rainy days = total number of days * probability of rain

Expected number of rainy days = 110 days * 0.3 = 33 days

Therefore, we can expect it to rain on approximately 33 days during a 110-day visit to Narnia.

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation of the semicircle upper side of the x-axis will be given as,

(x - h)² + (y - k)² = r²

x - h = √[r² - (y - k)²]

x = √[r² - (y - k)²] + h

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

More about the equation of the circle link is given below.

https://brainly.com/question/10618691

#SPJ1

The value of x or length of FD int the figure is  75.

image attached below,

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

This is similarities in sides questions. To solve make equation.

JY = 42

JS = 42 + 63 = 105

JD = 50

JF = 50 + x

Using the sides,

52/105 = 50/50+x

(42)(50+x) = (50)(105)

2100 + 42x = 5250

42x = 5250 - 2100

42x = 3150

x = 3150/42

x = 75.

Learn more about sides and equation here :-

https://brainly.com/question/14709570

#SPJ4

Answer:

x = 30

Step-by-step explanation:

ΔABC is a right-angled triangle where:

∠C = 90°

Sum of interior angles in any triangle = 180°

Therefore:

x° + 2x° + 90°= 180°

3x° + 90° = 180°

3x° = 180° - 90°

3x° = 90°

x = [tex]\frac{90}{3}[/tex]

∴Value of x = 30

Answer:

[tex]x[/tex] is equal to [tex]30\textdegree[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is 180 degrees. This is because a triangle is a polygon with three sides and three angles, and the sum of the angles in any polygon can be found by using the formula:

sum of interior angles = (n - 2) x 180 degrees

Note: n is the number of sides.

A triangle has 3 sides. So substituting 3 in for n gives us

(3 - 2) x 180 degrees = 180 degrees

So the sum of the interior angles in a triangle is always 180 degrees.

In this example we can say that  [tex]\angle A +\angle B+ \angle C=180\textdegree[/tex]

We are given a right triangle. A right angle is equal to 90 degrees.

We can conclude that

[tex]x+2x+90=180[/tex]

Lets solve for [tex]x[/tex].

Subtract 90 from both sides.

[tex]x+2x=180-90[/tex]

[tex]x+2x=90[/tex]

Add [tex]x[/tex] and [tex]2x[/tex].

[tex]3x=90[/tex]

Divide both sides by 3.

[tex]x=\frac{90}{3}[/tex]

[tex]x=30[/tex]

Learn more about the sum of interior angles formula here

https://brainly.com/question/20485431

Answer:

Step-by-step explanation:

C=[tex]2\pi R=\pi d[/tex]

if [tex]\pi = 3.14[/tex]

c=3.14*7=21.98

Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy

Step-by-step explanation: