7х + Зу = 15
Slope intercept form steps

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

60m^2 is the answer im pretty sure

Step-by-step explanation:

yeah man thats it

Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Answer:

100

Step-by-step explanation:

x / 5 = 20

Cross multiply,

x = 20 * 5

x = 100

Answer:

X = 100

Step-by-step explanation:

x/5 = 20

You do the same thing on the top as the bottom to cancel out and leave x by itself

5x/5 =20

whatever you do for one side you do for the other side

5x/5 = 20*5

the 5 cancel out leaving x by itself

so x = then 20 times 5 = 100

so x =100

Hope this helps. Please mark brainlist

Answer:

56

Step-by-step explanation:

This triangle is isosceles triangle

Then you can use angle sum of triangle:

x + 62° + 62° = 180°

Answer:

it's answer choice 3

y=3x+1

this is correct on edmentum

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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The number of paintings the designer can hang is 32.

In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.

Number of paintings = length of hallway / length of paintings

The unit of measurement of the hallway and the paintings have to be the same length,

1 foot = 12 inches

24 feet x 12 = 288 inches

Number of paintings = 288 / 9 = 32 paintings

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Using pythagorean theorem:

The other leg is 12cm long

The diagram is showing the length of each line segment.

• NM has length 110 + 4x

• ML has length x + 103 (this is the one you have to find)

• LK has length 70

• NK has length x + 243

The segment NK has length equal to the sum of the lengths of NM, ML, and LK. So we have

x + 243 = (110 + 4x) + (x + 103) + 70

Solve this equation for x :

x + 243 = (110 + 103 + 70) + (4x + x)

x + 243 = 283 + 5x

x - 5x = 283 - 243

-4x = 40

x = 40/(-4)

x = -10

Now solve for x + 103 by adding 103 to this result:

x + 103 = -10 + 103 = 93

So ML has length 93.

Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

(-11,-9)

Step-by-step explanation:

translate 10 units down: y value: 1-10=-9

reflect over y-axis: x-value becomes opposite: 11 becomes -11

Answer:

Step-by-step explanation:

3(x - 7) = 30 is our equation, since we take 7 away from the number and then multiply the result by 3.

3x - 21 = 30

Add 21

3x = 51

Divide by 3

x = 17

To check.

3(17 - 7(

3(10)

30 = 30 Correct

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

AOB = 65°

DOE = 35°

AOC = 90°

EOB = 115°

DOB = 85°

Hope this helps!

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

Answer:

Please do step by step)

hope I gave

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:2x+1

Step-by-step explanation:

Answer: 77

Step-by-step explanation:

u add up all the numbers then divide by how many numbers there are

During the subinterval of (2,3) the average rate of change of the function is highest.

An indicator of how quickly, on average, one quantity changes in respect to another is the average rate of transformation. It gives an overall impression of how the function's value per unit changed throughout the specified time frame.

Simply said, the amount of change in one item is divided by the same amount of change in another to determine the rate of increase. Let's examine the annualised cost of change calculation in more detail. The average rate of change of a f(t) over an interval [a, b] is defined as the ratio of "change in the function values" to "change in the interval endpoints".

The average change rate can be calculated using [f(b) - f(a)]. (b - a).

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When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception.

A matrix is a rectangular array or table of numbers, symbols, or formulae used to represent mathematical objects or qualities of such things. It is often arranged in rows and columns. For instance, a matrix contains two rows and three columns. a group of integers organized in a rectangular array in rows and columns. Matrix elements or entries refer to numbers. In several disciplines of engineering, physics, economics, statistics, and mathematics, matrices have a wide range of applications.

The eigenvalues and eigenvectors of the sum of two matrices are typically not the same as the sums of the eigenvalues and eigenvectors of the individual matrices. In actuality, there is no way to separate the eigenvalues of A and B from one another.

When a vector v is an eigenvector of both A and B, it is also an eigenvector of A+B, with an eigenvalue equal to the sum of its eigenvalues for A and B, respectively. There is, however, no reason to anticipate that two matrices will share an eigenvector in general. There is no method to create an eigenvector of A+B from two random eigenvectors of A and B alone.

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception. In this situation, their invariant spaces coincide, and if both of them are diagonalizable, they are concurrently diagonalizable, which means that their eigenvectors do as well. As was already noted, in this specific instance, the eigenvectors of A+B are likewise the same.

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Answer:

9.5 < x < 15

Step-by-step explanation:

The possible values of x for the given problem lies in  (-infinity, -1.33) ∪ (9.5, 15).

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

Given that,

The sides of the triangle are as follows,

CD = x - 4,  DE = 3x + 21 and  CE = 6x - 13.

There can be three cases for the given problem.

Case 1,

The longest side of the triangle is CE = 6x - 13.

Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,

6x - 13 < x - 4 + 3x + 21

=> 6x - 13 < 4x + 17

=> 6x - 4x < 17 + 13

=> 2x < 30

=> x < 15

Case 2,

The longest side of the triangle is DE = 3x + 21.

Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,

3x + 21 < 6x - 13 + x - 4

=> 3x + 21 < 7x - 17

=> 7x - 3x > 21 + 17

=> x > 38/4

=> x > 9.5

Case 3,

The longest side of the triangle is CD = x - 4.

Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,

x - 4 < 3x + 21 + 6x - 13

=>  x - 4 < 9x + 8

=> x - 9x > 8 + 4

=> x < -1.33

Thus, the range of the values of x is intersection of x < 15, x > 9.5 and  x < -1.33, which is equivalent to (-infinity, -1.33) ∪ (9.5, 15).

Hence, the range of possible values of x lies in the interval (-infinity, -1.33) ∪ (9.5, 15).

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We are asked to find the angle x as shown in the given figure.

Recall the trigonometric ratio,

With respect to angle x, the adjacent side is 7 ft and the hypotenuse is 15 ft.

Let us substitute these values into the above formula

Take the inverse of cos function

Therefore, the angle of elevation of the ladder is 62.2