5. Determine the coordinates of point Y so that JY = (2/3)JK.

A. The solution of  linear equation is (x, y) = (-3, 8).

B. The solution is (x, y) = (3/4, -1).

C. The solution is (x, y) = (-31/8, 3/8).

D. The solution is (x, y) = (55/7, -117/14).

A. 3x - y = -11 --- (1)

-x + y = 5 --- (2)

From equation (2), we can write y = x + 5, and substitute it in equation (1):

3x - (x + 5) = -11

2x = -6

x = -3

Substituting x in equation (2):

-y = -8

y = 8

Therefore, the solution of the system is (x, y) = (-3, 8).

To check the solution, we substitute the values of x and y in the original equations:

3(-3) - 8 = -11 (True)

-(-3) + 8 = 5 (True)

So, the solution is correct.

B. -2y + 3 = 4x + 2 --- (1)

6x + 4y = 1 --- (2)

From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):

6x + 4y = 1

6x - 4y = 8 (rearranging)

12x = 9

x = 3/4

Substituting x in equation (1):

-2y + 3 = 4(3/4) + 2

-2y + 3 = 5

-2y = 2

y = -1

Therefore, the solution of the system is (x, y) = (3/4, -1).

To check the solution, we substitute the values of x and y in the original equations:

-2(-1) + 3 = 4(3/4) + 2 (True)

6(3/4) + 4(-1) = 1 (True)

So, the solution is correct.

C. 32y - x = -25 --- (1)

5x = 100 + x - 8y --- (2)

From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):

32y - x = -25

32y - (100 - 8y) = -25

40y = 75

y = 3/8

Substituting y in equation (1):

32(3/8) - x = -25

x = -31/8.

Therefore, the solution of the system is (x, y) = (-31/8, 3/8).

To check the solution, we substitute the values of x and y in the original equations:

32(3/8) - (-31/8) = -25 (True)

5(-31/8) = 100 + (-31/8) - 8(3/8) (True)

So, the solution is correct.

D. To solve the system of equations:

2y + 3x = 6 --- (1)

4x + 5y + 20 = 0 --- (2)

We can rearrange equation (2) to isolate one of the variables:

4x + 5y = -20 (subtracting 20 from both sides)

5y = -4x - 20 (subtracting 4x from both sides)

y = (-4/5)x - 4 (dividing both sides by 5)

Substituting this value of y in equation (1):

2((-4/5)x - 4) + 3x = 6

(-8/5)x - 8 + 3x = 6

(-8/5)x + 3x = 14

(-8/5 + 3)x = 14

(-8/5 + 15/5)x = 14

(7/5)x = 14

x = 10

Substituting this value of x in the equation for y:

y = (-4/5)(10) - 4

y = -12.

Therefore, the solution of the system is (x, y) = (10, -12).

To check the solution, we substitute the values of x and y in the original equations:

2(-12) + 3(10) = 6 (True)

4(10) + 5(-12) + 20 = 0 (True)

So, the solution is correct.

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Answer: The distance between starting and ending point is 34 miles.

Answer:

= 70.8676471

Step-by-step explanation:

Answer:

either 70.86 or 70.87 depending on if they want you to round up

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

Therefore , the solution of the given problem of unitary method comes out to be any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

The phrase "shade 3/8 of the square" might be interpreted in a variety of ways, which might result in various solutions. Here are a few potential explanations and their accompanying responses:

1) The most straightforward interpretation is to shade 3/8 of the square as a single, continuous area.

There are countless ways to shade precisely 3/8 of the square in this interpretation.

2) Discrete Interpretation: Using a grid or discrete cells to shade 3/8 of the square.

The number of alternative ways relies on the size of the grid or the number of discrete cells if the square is divided into a grid or cells and the requirement is to shade exactly 3/8 of the cells. F

3) Interpretation based on constraints: Shading 3/8 of the square with specific restrictions.

In conclusion, the exact interpretation and any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square. It is challenging to estimate the precise number of potential solutions in the absence of more details.

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Answer:

9.18%

Step-by-step explanation:

The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:

P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)

where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:

(15 choose 5) = 15! / (5! * 10!) = 3003

Substituting the values, we get:

P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918

Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.

Answer:

3 for vowles and two for number

Step-by-step explanation:

I also need help on this one just need points

Answer:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

Then if the radius of the circle is R = 4*x^3

The area of this circle will be:

A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2

Here you need to remember that:

(a^n)^m = a^(n*m)

Then the area of the circle is:

A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6

So the monomial that represents the number of square units in the area of the circle is:

A(x) =  50.24*x^6

l am not sure but I think it's Y

5/6 is the value of the expression.

To solve this expression, we need to find a common denominator for all the fractions:

1/4 + 1 + 3/4 - 2/3 - 1/2

= 1/4 + 3/4 + 1 - 2/3 - 1/2 (adding the fractions with common denominators)

= 4/4 + 1 - 8/12 - 6/12 (finding equivalent fractions with common denominators)

= 1 + 1/3 - 1/2 (simplifying)

To add 1/3 and -1/2, we need to find a common denominator of 6:

1 + 1/3 - 1/2

= 6/6 + 2/6 - 3/6 (finding equivalent fractions with common denominators)

= 5/6 (simplifying)

Therefore, the value of the expression is 5/6.

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Answer:

it is a linear function

Step-by-step explanation:

Answer:

Solution given:

x=121°[opposite angle of a parallelogram are equal]

<Z=19°

we have

y+z+121°=180°[co interior angle]

y=180-121-19

y=40°

:.x=121°,y=40°& z=19°

Answer:

Step-by-step explanation:

Here the angle A=Angle C

so,

x=121°

z=19°

so,

Answer:

first one is 59-24 I think so 35?? dunno about the second is it 28 because it says what is m<ROS=28?

Answer:

a.   \(1\,\,\,10^4\)

b.   \(1.57\,\,\,10^{-4}\)

c.   \(1.2\,\,\,10^{10}\)

d.   \(1.72\,\,\,10^{-15}\)

e.   \(4.53\,\,\,10^5\)

f.   \(5.682\,\,\,10^{14}\)

g.   \(8.1\,\,\,10^{-8}\)

h.   \(9.04\,\,\,10^{-13}\)

i.   \(7.123\,\,\,10^3\)

j.   \(4\,\,\,10^{-3}\)

Step-by-step explanation:

Start by recognizing the significant figures of the number in question. the first factor to include in the scientific notation should have a non-zero digit followed by a decimal point, and whatever other significant figures follow. Make sure you count how many places you need to move the decimal point to get to the first significant figure for the quantity. If you moved the decimal point to the left in order to get to the first significant figure, you have to include a positive exponent for the base ten, and that exponent is the number of places you counted. If you moved to the right when moving the decimal point to locate it after the first significant figure, you need to include the negative of the number of places you counted in the exponent of the accompanying base 10.

We are given a graph and we are asked to determine the type of function.

We notice that the graph is a line, therefore, it must be of the form:

Where "m" is the slope and "b" is the y-intercept.

The y-intercept "b" is the point where the line crosses the y-axis since from the graph we notice that the line crosses the y-axis at y = 0, we have:

Also, we notice that the point:

Is part of the line, therefore, we can substitute in the equation and we get:

Therefore, the slope is 1. Substituting we get:

Therefore, the right answer is identity y = x.

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

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Answer

0.66

Step-by-step explanation:

\(\frac{39}{59} = 0.66\)

Answer:

the answer is 20

Step-by-step explanation:

the third option. I think

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

I think its 678.24

Hope it helps!

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

Step-by-step explanation:

The missing number is

y = 2x + 3

hope it helps :)

The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

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Answer:

Circle

Step-by-step explanation: