what’s the slope of 8x-5y=20 is in

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

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The option that correctly describes the transformation that took place with triangle ABC is; Option A.

Option A; Triangle MNO represents a translated triangle and as such the lengths and angles remain unchanged and so this option is correct.

Option B; Not true because both lengths and sides are preserved as stated above.

Option C; Transformation to PQR denotes dilation by a factor of 2 and as such the lengths and angles change. Thus this option is not true.

Option D; This is not true for the same reason in option C above.

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Answer:

A & C

Step-by-step explanation:

You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.

A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.

B - Wrong because 4/3 is not a whole number

C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.

D - Wrong because 27/2 is not a whole number

E - Wrong because 0.2 is not a whole number

Let me know if you need a more thorough explanation! (:

Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.

What are the steps to create a bisector?

By following these steps to create a bisector in the provided curve:-

1) Join the extreme points and make a line.

2) By using compass, take width as length of a line joined in step 1.

3) Draw a curve taking extreme points.

4) Draw a line from the intersection of the curve to the line.

The above following steps should be performed  error free and you will get bisector.

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The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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Answer:

Answer: $3000

Step-by-step explanation:

Based on the information given, the amount of loan that Molly needs will be the addition of the down payment and the cash allowance and this will be:

= Down payment + Cash allowance

= $2500 + $500

= $3000

Molly needs a loan of $3000

Answer:

the other guy is correct, i think

Step-by-step explanation:

Answer: There are 200 petals on 25 daisies, so the constant of proportional is 8

Answer: the constant of proportionality is 8

Step-by-step explanation:

The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x

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

Using the following representations:

We have the following system of inequalities from the given statements

10x + 20y ≤ 100

y > 2x

Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x

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The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Explanation:

When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.

Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5

Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.

In short, the possible weights x are \(339.5 \le x < 340.5\) where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.

Answer:

the answer is (25-π) there was no figure drawn

Answer:

B. { (-5, 5), (-1, -5), (-3, 5), (-2, -5) }

Step-by-step explanation:

because for any domain ,you will get only one range value ,

but ,there are many range values for same domain in A,C,D ;

The length of the rectangle is x + 9 whose width is gives as 2x.

To find the length of the rectangle, we need to express it in terms of the width.

Given:

width of the rectangle is 2x.

The formula for the area of a rectangle is

A = length × width.

As, the polynomial function for the area:

\(A(x) = 2x^2 + 18x\)

So, set up the equation:

\(2x^2 + 18x =\) \({\text} width x length\)

Substituting the given width = 2x in above equation gives

\(2x^2 + 18x = 2x * length\)

Dividing both sides of the equation by 2x:

x + 9 = length

Therefore, the length of the rectangle is x + 9.

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Answer:

1. 1

2. -30

3. -2

4. 15

Step-by-step explanation:

Answer:

3.6

...........................

Answer:

5 - 1 1/3 = 3 and 2/3

Step-by-step explanation:

Answer:

The area would be 168ft. The rectangle's area would be 144ft, and the triangle's area would be 24ft.

Rectangle:

18×8=144

Triangle:

8×3=24

Answer:

The area is 168

Step-by-step explanation:

Instead of trying to find the area of the trapezoid, you can easily figure out the area of the rectangle and triangle present in the picture.

first, multiply 18 by 8 to get the area of the rectangle. 18 x 8 = 144

Then, use the equation for area of triangle L x W/ 2 = A

(6 x 8)/2 = 24

add these 2 values.

24 + 144

168 is your final  answer

Hypothesis: If two angles are congruent.

Conclusion: Then they have the same measure.

The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.

Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.

For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.

In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.

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Answer/Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length by the width by the height. The product of the formula will provide the volume of the box in cubic feet.

Volume formula: V = L x W x H

Answer: c

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

Yea you correct, you answer is right

Answer:

0.5%

Step-by-step explanation:

8/1600= 0.005 = 0.5%

Answer:

6/11 = 0.54

Step-by-step explanation:

Answer: Yes you are correct

Step-by-step explanation:

To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.

The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.

Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:

(1/6) * (1/6) * (1/6) = 1/216

Therefore, the probability of rolling a six on all three rolls is 1/216.

To find the expected number of sixes, we multiply the probability by the number of rolls:

Expected number of sixes = (1/216) * 3 = 1/72

So, the expected number of sixes appearing on three die rolls is 1/72.

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Answer2.58

Step-by-step explanation:

129 / 50 = 2.58

Answer:

315 chairs

Step-by-step explanation:

This question can instill your quick calculation skills which can be very useful when it comes to event planning.

1 row of chairs = 15 chairs

21 rows of chairs = 15 x 21

= 315 chairs.

Okay, here we have this:

Considering the provided points, we are going to identify the corresponding ordered pairs, so we obtain the following:

Let us remember that the coordinate of a point corresponds to (x,y), so from this we have:

Point A: (4,1)

Point B: (-2,3)

Point C: (1, 0)

Point D: (3, -2)

Point E: (0, -4)

Point F: (-1 , -2)

If the product is known to be 13 effective then, the probability that the sample will contain less than 9 defectives is 0.058, or 5.8%.

To solve this problem, we need to use the binomial distribution formula, which calculates the probability of getting a certain number of successes in a fixed number of trials. In this case, the number of trials is the sample size (9 units), and the probability of success (i.e., getting a defective unit) is known to be 13%.

The formula for the probability of getting exactly k successes in n trials with probability p of success is:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) = n! / (k! * (n-k)!) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

To find the probability that the sample will contain less than 9 defectives, we need to sum up the probabilities of getting 0, 1, 2, ..., 8 defectives:

P(0 or less) = P(0) + P(1) + P(2) + ... + P(8)

= (9 choose 0) * 0.13^0 * 0.87^9 + (9 choose 1) * 0.13^1 * 0.87^8 + (9 choose 2) * 0.13^2 * 0.87^7 + ... + (9 choose 8) * 0.13^8 * 0.87^1

= 0.034 + 0.135 + 0.264 + 0.288 + 0.200 + 0.097 + 0.032 + 0.007 + 0.001

= 0.058

Therefore, the probability that the sample will contain less than 9 defectives is 0.058, or 5.8%.

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The category in the Excel Options dialog box that contains the option to change the user name is "General".

In the Excel Options dialog box, the category that contains the option to change the user name is the General category.

Excel graphing methods, Go to Insert > Line after selecting the data. The type of line chart you want may be chosen from a dropdown menu that appears when you click the icon.

We'll use the fourth 2-D line graph (Line with Markers) for this illustration. Your line graph for the chosen data series will be added by Excel.

What are the primary three graphs?

How to Use Graphs in Science

Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph may be used to display a certain kind of data.

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