Write the equation of the line that has a slope of -3/4 and contains the point (8,-3)

Answer:

Step-by-step explanation:

Let's call the two numbers x and y.

The sum of the two numbers is 53, so x + y = 53.

The difference between the two numbers is 27, so x - y = 27.

We can solve for the values of x and y by solving this system of equations.

First, let's add the two equations to eliminate the y term:

x + y + x - y = 53 + 27

2x = 80

x = 40

Substituting this value for x back into the first equation, we get:

40 + y = 53

y = 13

Therefore, the two numbers are 40 and 13.

Step-by-step explanation:

The sum of two numbers is 53 and their difference is 27. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 53. In other words, x plus y equals 53 and can be written as equation A:

x + y = 53

The difference between x and y is 27. In other words, x minus y equals 27 and can be written as equation B:

x - y = 27

Now solve equation B for x to get the revised equation B:

x - y = 27

x = 27 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 53

27 + y + y = 53

27 + 2y = 53

2y = 26

y = 13

Now we know y is 13. Which means that we can substitute y for 13 in equation A and solve for x:

x + y = 53

x + 13 = 53

X = 40

Summary: The sum of two numbers is 53 and their difference is 27. What are the two numbers? Answer: 40 and 13 as proven here:

Sum: 40 + 13 = 53

Difference: 40 - 13 = 27

Hope it helps you

The correct option is (3),Hence ,As body mass index increases treadmill time decreases are correct .

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.When two variables rise or decrease simultaneously, there is a positive correlation; when there is a negative correlation, one variable increases as the other falls.

When two variables are correlated negatively, the other variable's value falls as the value of the first variable rises. The correlation coefficient, which expresses correlation on a scale from +1 to -1, is used. Numbers less than 0 indicate a negative connection.

According to above statement  for a negative correlation,

According to question ,

Correlation = -0.67 that is, given correlation is negative or less than 0.

So, correct choice of answer is body mass index increases treadmill time decrease.

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Answer:

5 sides

Step-by-step explanation:

the sum of the interior angle and exterior angle = 180°

sum the parts of the ratio, 2 + 3 = 5 parts , then

180° ÷ 5 = 36° ← value of 1 part of the ratio

exterior angle = 2 × 36° = 72°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then the exterior angles are congruent , so

number of sides = 360° ÷ 72° = 5

The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

answer-

the area of the rectangular rug is 96in!

explanation-

area will always be LxW, so 8x12=96!!

The batch 3,5,7,9,11 represents items in set A which are the sums that are odd. For instance, rolling a 2 and a 3 leads to 2+3 = 5 which is an odd number sum.

The batch 4,8,12 represents the sums that are divisible by 4, ie they are multiples of 4. For instance: 2+6 = 8 is a multiple of 4.

The notation A U B means "A union B". Set union has us combine the two sets together to form one single set as indicated above. We toss out any duplicate entries. In this case, there are no duplicates because sets A and B have nothing in common. This means sets A and B are disjoint or mutually exclusive. If an item is in set A, then it cannot be in set B, and vice versa.

Optionally you can sort the items from smallest to largest getting A U B = {3,4,5,7,8,9,11,12}, but I chose to list 3,5,7,9,11 first to show that those items all belonged originally to set A, and kept 4,8,12 separate as well.

Answer:

192 square inches

Step-by-step explanation:

You can separate this figure into two separate figures; a triangle with a height of 6 inches and an unknown base, and a rectangle with a height of 9 inches and an unknown width. The triangle is conveniently separated into two right triangles, which you can use the Pythagorean Theorem to find the base of.

\(x=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64}=8\)

This means that the base length of the large triangle is 8*2=16. With this, you can now calculate the area of everything. The area of the large triangle is 16*6/2=48 square inches, while the area of the rectangle is 9*16=144. Adding these together, you get a total area of 192 square inches. Hope this helps!

Answer:             4x +10

Step-by-step explanation:

Distribute the 2 to both terms

2*2x + 2*5

4x + 10

Answer:

Slope (M) 5.000000

Distance (D) 10.198039

Δx 2.00

Δy 10.00

Step-by-step explanation:

Answer:

The hypotenuse is always the shortest side length. (False)

Approximately 94.90% of the men in the country are eligible for the military based on height.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

z-score = (X-ц )/σ

First, we need to standardize the values of 66 and 77 using the given mean and standard deviation:

Z(66) = (66 - 70.4) / 2.6 = -1.69

Z(77) = (77 - 70.4) / 2.6 = 2.54

The percentage of the area under the standard normal distribution curve is between -1.69 and 2.54.

Using a standard normal distribution table, we can find that the area to the left of Z = -1.69 is 0.0455 and the area to the left of Z = 2.54 is 0.9945.

Therefore, the area between Z = -1.69 and Z = 2.54 is:

0.9945 - 0.0455 = 0.9490

This means that approximately 94.90% of the men in the country have heights between 66 inches and 77 inches.

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Answer:

Step-by-step explanation:

4/mx

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

True

Explanation:

Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 9 mm

Hypotenuse = 15 mm

Altitude = b

Hypotenuse² = Base² + Altitude ²

15² = 9² + b²

225 = 81 + b²

225 - 81 = b²

144 = b²

√144 = b

12 mm = b

Hope it helps ya!

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer: 7/12

Step-by-step explanation:

given data:

Box A

white ball = 1

red ball = 2

total ball = 3.

Box B

white ball = 1

red ball = 3

total ball = 4

Probability of picking a white ball as the final pick.

= 1/3 + 1/4

get the LCM = 12

= 4*1 + 1*3 /12

= 4 + 3 /12

= 7/12

Step-by-step explanation:

To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:

c^2 = a^2 + b^2

19^2 = 23^2 + 30^2

361 = 529 + 900

Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Examining the figure, the correct options are

Two angles are said to be congruent when they are equal to each. The symbol to represent congruency is ≅

The following angles are congruent in the figure

Corresponding angles refers to angles that are in a position that are in matching position to another angle.

Corresponding angles are said to be equal when there are parallel lines intersected across by a line called transversal line.

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ANSWER

0.75

EXPLANATION

We have that the two triangles are equilateral, which implies they are similar.

To find the scale factor by which Triangle 1 was reduced to form Triangle 2, we have to divide the given length of Triangle 2 by that of Triangle 1.

That is:

That is the factor.

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35\)

The time at which the theatre does not have any customers is; Choice A: 11:00 PM

From the task content;

Hence, when C(x) = 0, the theater has no customers.

Divide through by x;

x = 11.

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Answer:

(1,4)

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2