Create a function table of the function y=−2x−3 for the values listed

The angle m∠B of the quadrilateral has a measure of 72°

The complete question is added as an attachment

For any quadrilateral, the sum of its four interior angles is equal to 360°,

Using the above as a guide, we have the following:

17x + 5 + 13x + 7 + 118° + 80° = 360°

Evaluate the like terms

So, we have

30x + 210° = 360°

Subtract 210° from both sides

30x = 150°

So, we have

x = 5

Given that

B = 13x + 7

We have

B = 13 * 5 + 7

Evaluate

B = 72

Therefore, the measure for the angle m∠B is 72°

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Answer:

Tje answer is 36

Step-by-step explanation:

16-30=14

24+14=-36

The equations that are true of the values x, y, and z are :

The line that x degrees and 65 degrees is on, is a straight line which means that they will both add up to 180 degrees :

x degrees + 65 degrees = 180 degrees

x and z are congruent angles which means they are both the same angle measure.

y would be equal to 65 degrees because, just like x and z, y and 65 degrees are congruent.

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Options include:

Answer:

Step-by-step explanation:

An expression to display a loss of 42 yards on the football field would be: -42 yards.

The negative sign in front of the number 42 indicates a loss or a decrease in the yards, which represents a loss of 42 yards on the football field.

The kilograms of compost in the barrel is 5.6 kg

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

Amount filled on day 1 = 1/4

Remaining space = 4200 grams

The number of kilograms in the barrel is calculated as

Remaining space = (1 - 1/4) * Original space

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

(1 - 1/4) * Original space = 4200 grams

Convert to kg

(1 - 1/4) * Original space = 4.2 kg

So, we have

Original space = 4.2 kg/(1 - 1/4)

Evaluate

Original space = 5.6 kg

Hence, the original space is 5.6 kg

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The equivalent expression to -4x² + 2x - 5(1 + x) is given as follows:

-4x² - 3x - 5.

The expression for this problem is defined as follows:

-4x² + 2x - 5(1 + x)

To obtain the equivalent expression, we apply the distributive property to -5(1 + x) as follows:

-5(1 + x) = -5 - 5x.

Then the expression is given as follows:

-4x² + 2x - 5 - 5x.

Combining the like terms, we have that the expression is given as follows:

-4x² - 3x - 5.

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By factorizing the polynomials, the HCF of the expressions 3(x-y)^2 and 12x^2(x^2+y^2+2xy) is 3.

HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).

To obtain the HCF of algebraic expression, take the common of all the prime factors of two polynomials.

We first factorize the given algebraic expressions:

3(x - y)^2 = 3 × (x - y) × (x - y)

12x^2(x^2+y^2+2xy) = 12x^2(x + y)^2

12x^2(x + y)^2 = 2 × 2 × 3 × x × x ×  (x + y) × (x + y)

so, the highest common factor between the both expressions is 3.

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The final mixture contains 7 quarts.

What is Mixture?

A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.

First, let's add up the amount of the three ingredients to find the total volume of the mixture:

144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz

Now, we can convert fluid ounces to quarts:

1 quart = 32 fluid ounces

So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:

224 fl oz / 32 fl oz/quart = 7 quarts

Therefore, The final mixture contains 7 quarts.

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The number of ways can a train made up consisting of tank cars, box cas and flat cars is 166320

Total number of tank cars = 4

Total number of Box cars = 112

Total number of flat cars = 5

Here we have to apply the concept of combinations

Number of ways of selecting 2 tank car from 5 = [tex]4C_2[/tex]

= 4! / 2!( 4-2) !

= 6

Number of ways of selecting 5 Box cars from 12 = [tex]12C_5[/tex]

= 12! / 5!(12-5)!

= 792

Number of ways of selecting 3 flat cars from 7 = [tex]7C_3[/tex]

= 7! / 3!(7-3)!

= 35

Number of possible ways can a train be made up = 6 × 792 × 35

Multiply the numbers

= 166320

Therefore, the number of possible ways is 166320

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The given question is incomplete, the complete question is :

Freight Train CarsIn a train yard there are 4 tank cars. 12 boxcars, and 7 flatcars. How many ways can a train be made up consisting of 2 tank cars, 5 boxcars, and 3 flatcars?

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hope it helps!:)

Multiplying the total number of children by the fraction that like chocolate yields [tex]32(3/8)=12[/tex]

Answer:

A = 648π cm²

Step-by-step explanation:

the area (A) of a semicircle is half the area of a circle , then

A = [tex]\frac{1}{2}[/tex] πr² ( r is the radius ) , then

A = [tex]\frac{1}{2}[/tex] × π × 36² = [tex]\frac{1}{2}[/tex] × π × 1296 = 648π cm²

The trees will be the same height in 2 years and the height of these trees will be 22 ft.

A linear expression can be represented by a line. The standard form for this equation is: y=mx+b , for example, y=x+10. Where:

m= the slope.

b= the constant term that represents the y-intercept

For the given example: m=1 and b=10.

For solving the question you should convert the given text into an algebraic expression.

Tree01= 18+2*y

Tree02= 20.5+0.75*y (Note that  3/4=0.75)

y= number of years

Therefore,

18+2*y=20.5+0.75*y

2y-0.75*y=20.5-18

1.25y=2,5

y=2

Thus, at 2 years the trees will be the same height.

When y=2, you have:

Tree01= 18+2*y= 18+2*2=18+4=22

Tree02= 20.5+0.75*y =20.5+1.5=22

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The cost per student for the app is $3, and can be found by dividing the total cost of $96 by the number of students, 32, which equals $3 per student.

Let x be the cost of the almonds Sophia bought and y be the cost of the app per student. Then, we have the subsequent two equations:

x + $5 = $15

32y = $96

To find the cost of the app per student, we can solve for y in the second equation:

y = $96 / 32 = $3

So the app costs $3 per student.

To find the cost of the app per student, we need to find the total cost of the app and then divide it by the number of students. Mr. Boone spent $96 on the app for 32 students, so the cost per student would be $96 / 32 = $3. This means that each student paid $3 for the app.

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The solution to the given system of equation is (-2,7) and (2, -1).

A system of equations are the set of equations where the solution for these equations are the intersecting point between the equations.

The graph denotes the two equations in which one is line and another one is parabola.

These system equation has two solutions.

That is, the point where the curve and line intersect is the solution for the system.

In this graph, the line and the curve intersects at two points,

i.e., (-2,7) and (2, -1).

Hence, the solution to the given system of equation is (-2,7) and (2, -1).

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The area of the picture is 144 square inches.

The area is a measurement of the extent of a two-dimensional surface or region. It is expressed in square units, such as square inches, square meters, or square feet. The area of a shape is the amount of space it occupies in a plane or on a flat surface. The calculation of area depends on the shape of the object. For example, the area of a circle is calculated by using the formula A = πr², where r is the radius of the circle.

The area of a square with side length s is given by the formula A = s². If the side length of the picture is 12 inches, then we can substitute s = 12 into the formula to get:

A = s² = 12² = 144

Therefore, the area of the picture is 144 square inches.

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The value of the equation 8x² - 8x + 2 -( 6x² - 10x + 4) is 2x² + 2x - 2.

It should be noted that an equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that

two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

The equation can be illustrated thus:

8x² - 8x + 2 -( 6x² - 10x + 4)

8x² - 8x + 2 - 6x² + 10x - 4

= 2x² + 2x - 2

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Answer:

the sum of 2rude 5 is 4.47-(answer)and the sum of 3 rude 7 is 7.79-(answer).

Hi there, here's your answer:

Given the question [tex]2\sqrt{5} + 3\sqrt{7}[/tex]

Since these two roots have no common factors, we can either leave the expression as it is, or simplify using the values of the roots.

In which case, [tex]\sqrt{5} = 2.236[/tex] and [tex]\sqrt{7} = 2.645[/tex]

On simplifying, we get

[tex]2\sqrt{5}[/tex] = 2 × 2.236 = 4.472

And

[tex]3\sqrt{7}[/tex] = 3 × 2.645 = 7.935

Thus, the sum will be 4.472 + 7.935 = 12.407

Hope it helps! Please mark as Brainliest!

If the ratio of winners to players remains the same as last year, the balloon dart booth can expect to have 85 winners among 204 players and lose $136.

A ratio compares two quantities or values. In this case, the ratio we are interested in is the ratio of winners to players.

Last year, out of 12 players, 4 popped 2 balloons and 1 player popped 3 balloons. Therefore, the total number of players who won prizes was 4+1=5. The ratio of winners to players is 5/12.

To calculate the number of winners this year, we can use the same ratio. If we assume that the ratio of winners to players is constant, we can set up the following proportion:

(winners/players) = (5/12)

Let's solve for the number of winners among 204 players:

(winners/204) = (5/12)

winners = (5/12) * 204

winners = 85

Therefore, we can expect 85 winners among 204 players if the ratio of winners to players remains the same as last year.

Now let's calculate the potential earnings or losses for the booth. Each player pays $1 for three darts, so the booth will earn 204*1 = $204.

Out of the 204 players, we expect 85 winners. Each winner receives a prize worth $4, so the total cost of prizes is 85*4 = $340.

The booth earns $204 and spends $340 on prizes, resulting in a loss of $136.

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Complete Question:

At the balloon dart booth, players are charged $1 for the chance to throw 3 darts. Prizes worth $4 each are awarded to players who pop at least 2 balloons. Last year, 4 out of 12 players popped 2 balloons, and 1 out of 12 players popped 3 balloons.

If the ratio of winners to players is the same this year and 204 people play the game, how much money will the booth earn or lose?

Using combinatorics, there are 1926 ways to distribute 9 different computer games among Wendy, Jim, and Hannah so that each person receives an odd number of games.

If each person receives an odd number of games, then the number of games must be 1, 3, 5, or 7. There are four odd numbers to choose from.

We can use combinatorics to find the odd number in each turn.

Let's consider each odd number in turn.

If each person gets 1 game, then we are looking for the number of ways to choose 3 games out of 9 to distribute. This is simply the number of combinations of 3 things taken from a set of 9 things, which is 9C3, or (9!)/(3!6!) = 84.

If each person gets 3 games, then we are looking for the number of ways to choose 3 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 6 games to distribute to the other two people. The number of ways to choose 3 games out of 9 is again 84, but we must multiply this by the number of ways to choose 3 games out of the remaining 6. This is 6C3, or (6!)/(3!3!) = 20. Therefore, the total number of ways to distribute 9 games with each person getting 3 games is 84*20 = 1680.

If each person gets 5 games, then we are looking for the number of ways to choose 5 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 4 games to distribute to the other two people. The number of ways to choose 5 games out of 9 is 126, and the number of ways to choose 4 games out of the remaining 4 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 5 games is 126*1 = 126.

If each person gets 7 games, then we are looking for the number of ways to choose 7 games out of 9 to distribute to one person. Once those games have been chosen, we are left with 2 games to distribute to the other two people. The number of ways to choose 7 games out of 9 is 36, and the number of ways to choose 2 games out of the remaining 2 is 1. Therefore, the total number of ways to distribute 9 games with each person getting 7 games is 36*1 = 36.

Adding up the number of ways to distribute the games in each case, we get 84 + 1680 + 126 + 36 = 1926.

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To solve a direct proportion problem with decimal numbers, you can follow the same steps as with whole numbers.

A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable.

To solve a direct proportion problem with decimal numbers:

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Answer: To solve the system of equations using substitution, we'll start by rearranging one of the equations so that one of the variables can be expressed in terms of the other. In this case, we'll rearrange the second equation to find y in terms of x.

y = 2x + 4

Next, we'll substitute this expression for y into the first equation:

+3x + 5(2x + 4) = 7

Expanding the right-hand side:

+3x + 10x + 20 = 7

Combining like terms:

13x + 20 = 7

Subtracting 20 from both sides:

13x = -13

Dividing both sides by 13:

x = -1

Finally, we'll use the expression we found for y in terms of x to find the corresponding value of y:

y = 2x + 4

y = 2(-1) + 4

y = -2 + 4

y = 2

So the solution to the system is (x, y) = (-1, 2).

Step-by-step explanation:

Inequality for the number of weeks lily will need to save to have at least $300 is 40 + 65*x >= 300  and  4 week needed to buy the cellphone.

The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. Additionally, inequality has distinct yet overlapping social, economic, and geographic dimensions. The conflict between the normative concept of "deservingness" and the moral ethics of equity and social justice, on the one hand, and on the other, further complicates discussions about inequality. Inequalities that can be seen both within and between social groups have come to the forefront of public consciousness in recent years. The growing realization that inequality is systemic and ingrained in various socioeconomic and political structures is the result of this awareness. The contributions of geographers to the subject.

she needs to save at least $300 before she is able to buy the phone and

her grandfather gives her $40  so she need 300 - 40

and she earns $65 tutoring after school each week so until she will not have 260 she not able to buy.

40 + 65*x >= 300

65x >= 260

x >= 260/65

x >= 4

4 week needed.

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To construct a line segment that is half the length of segment AB, follow the steps below.

What is the intersection points of the circle?

The intersections of two circles determine a line known as the radical line. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center.

Draw a straight line passing through points A and B.

Bisect the line segment AB at point C.

Draw a circle centered at point C with a radius equal to AC or BC.

The intersection points of the circle and the line passing through A and B will be points D and E.

The line segment DE will be half the length of segment AB.

Therefore, To construct a line segment that is half the length of segment AB, follow the steps above.

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Answer:

the slope is -6/-5

The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.

The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.

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The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.

From the given options if we observe the third option,

4 + 5 should be greater than 10 but it is not therefore, It is the correct option.

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A Colorado blue spruce's first ten years have an average diameter of 0.62 inches.

Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. For instance, if a Colorado blue spruce is five years old, you would calculate its diameter and multiply it by 10. You will then know the tree's typical diameter for the first ten years. Any age of Colorado blue spruce tree can use the same calculation. Depending on the age of the tree, a Colorado blue spruce's first ten years' average diameter will vary. The average diameter will be greater if the tree is older than ten years. The average diameter will be less, however, if the tree is less than 10 years old. In general, a Colorado blue spruce's first ten years have an average diameter of 0.62 inches.

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540° is your answer!