Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.

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.

Answer:

Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.

Area of the social area on the plan is (2A/3) / 4.

Here,

Let the total area of the common space "A".

Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm

So,

One foot on the plan represents 4 cm in real life.

So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3.

Thus the area of the social area on the plan is (2A/3) / 4.

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Answer:

all of them

Step-by-step explanation:

it takes 5 years  for the shoreline to erode 15 feet to a grass line

Two or more expressions with an Equal sign is called as Equation.

The erosion rate of a coastline is approximately 3 feet per year

if erosion continues at the current rate, how many years will it take for the shoreline to erode 15 feet to a grass line

Let us formulate the equation

Let x be the number of years for 15 feet.

3/1=15/x

Apply cross multiplication

3x=15

Divide both sides by 3

x=5

which is 5 years,

adding 24 ft means, it would take 13 yrs.

3 x 8 = 24

Hence it takes 5 years  for the shoreline to erode 15 feet to a grass line

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Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in

Step-by-step explanation:

The question requires you to write in word for the number 45,037.36

The number has a decimal

This will be written as;

Fourty five thousand and thirty seven and thirty-six hundredths.

Answer:

Angle 7 or angle DHG

Step-by-step explanation:

Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)

Answer:

x^2 - 10x = 46

Step-by-step explanation:

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

\(1.)~Quadratic~equations~such~as~this~one~can~be~solved~by~completing\\~the~square.~In~order~to~complete~the~square,~the~equation~must~first~be~in~the~form:\)

\(2.)~Divide-10~by~2:\)

\(3.)~Add~the~square~of -5~to~both~sides~of~the~equation:\)

\(4.)~Factor~x^2-10x+25:\)

\(5.)~Take~the~square~root~of~both~sides:\)

______________________________

 \(\bold{Answer:}\)

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}\)

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

Answer:

y=7.5x

Step-by-step explanation:

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

How to write equation

Distance Saul biked = 300 kilometers

Number of hours it takes train travel = t

Speed of train travel (kilometers per hour) = r

Speed = Total distance travelled / Time taken

r = 300 / t

Equation that represents how many hours

Make t the subject of formula

r = 300 / t

cross product

r × t = 300

t = 300/r

Therefore,

The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r

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The transformation that maps triangle A onto triangle B is reflecting triangle A from y = 4.

Given,

Triangle A and triangle B in x - y coordinates.

Here,

Triangle A stretches from 4 to 5 in y axis.

Triangle A stretches from -4 to 1 in x axis.

Similarly,

Triangle B stretches from 3 to 4 in y axis.

Triangle B stretches from -4 to 1 in x axis.

From the stretches of triangles it is clear that x axis stretch remains same.

Therefore triangle B is the reflection of triangle A from y = 4.

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Answer:

D) y=-4

Step-by-step explanation:

we can multiply the first equation by -3 to cancel out the x's

and then add the first equation and the second equation

9x-21y=48

-9x+5y=16

0x-16y=64

y=-64/16=-4

Answer:

-23.2

                                        _____      _____

hello thre um                   ((_O_))     ((_O_))

                                             ///     v    ///

Answer:

If you took the test I took. The answer list would be

A. 3.03%

B. 23.3%

C. 30.3%

D. 2.33%

In this case, im pretty sure its 23.3%

Answer:

opposite

Step-by-step explanation:

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer:

2 mark me brainliest plse

Step-by-step explanation:

Answer:

A) 1/2

Step-by-step explanation:

Because it got smaller by 1/2

10 to 5

The evaluation of the given integral is:

\(\int (x^9 + x^6 + x^4)^8* (9x^8 + 6x^5 + 4x^3) dx = (x^9 + x^6 + x^4)^{9 / 9} + C\),

where C is the constant of integration.

To evaluate the given integral, we can use the substitution method.

Let's make the substitution \(u = x^9 + x^6 + x^4\). Then, \(du = (9x^8 + 6x^5 + 4x^3) dx.\)

The integral becomes:

\(\int u^8 du.\)

Integrating \(u^8\) with respect to u:

\(\int u^8 du = u^{9 / 9} + C = (x^9 + x^6 + x^4)^{9 / 9} + C,\)

where C is the constant of integration.

Therefore, the evaluation of the given integral is:

\(\int (x^9 + x^6 + x^4)^8* (9x^8 + 6x^5 + 4x^3) dx = (x^9 + x^6 + x^4)^{9 / 9} + C\),

where C is the constant of integration.

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a) The forecast is approximately miles. b) the Mean Absolute Deviation (MAD) based on the forecast is approximately miles. c) The forecast for year 6 is approximately miles. d) the last forecast is 3,468 miles.

a) To calculate the forecast for year 6 using a 2-year moving average, we take the average of the mileage for years 5 and 4. This provides us with the forecasted value for year 6.

b) The Mean Absolute Deviation (MAD) for the 2-year moving average forecast is calculated by taking the absolute difference between the actual mileage for year 6 and the forecasted value and then finding the average of these differences.

c) When using a weighted 2-year moving average, we assign weights to the most recent and previous periods. The forecast for year 6 is calculated by multiplying the mileage for year 5 by 0.40 and the mileage for year 4 by 0.60, and summing these weighted values.

The MAD for the weighted 2-year moving average forecast is calculated in the same way as in part b, by taking the absolute difference between the actual mileage for year 6 and the weighted forecasted value and finding the average of these differences.

d) Exponential smoothing involves assigning a weight (α) to the most recent forecasted value and adjusting it with the previous actual value. The forecast for year 6 is calculated by adding α times the difference between the actual mileage for year 5 and the previous forecasted value, to the previous forecasted value.

In this case, with α=0.20 and a forecast of 3,100 miles for year 1, we perform this exponential smoothing calculation iteratively for each year until we reach year 6, resulting in the forecasted value of approximately 3,468 miles.

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Answer: 24

Step-by-step explanation:

30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24

Answer:

The answer is 121/16 or 7.5625

Step-by-step explanation:

(-2¾)²

(-11/4)²

=121/16 or 7.5625

The ratio of nickels to dimes in the spare change on the dresser is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.

Let's start by assigning variables to the number of pennies, nickels, and dimes. We can represent the number of pennies as 2x, where x is a positive integer. According to the given ratio of pennies to nickels (2:3), the number of nickels would be 3/2 times the number of pennies, which is 3x. Similarly, according to the ratio of pennies to dimes (3:4), the number of dimes would be 4/3 times the number of pennies, which is 8x/3.

To find the ratio of nickels to dimes, we need to compare their quantities. The number of nickels is 3x, and the number of dimes is 8x/3. To make the comparison easier, we can multiply both quantities by 3 to eliminate the fractions. This gives us 9x nickels and 8x dimes.

Therefore, the ratio of nickels to dimes is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.

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Answer:

circle and two lines that don't touch and are the same length are parrarell

Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

\(\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}\)

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

\(\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}\)

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}\)

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}\)

Evaluate 3+5+6+10 which equals 24.

\(\displaystyle \large{f+24=60}\)

Next, subtract both sides by 24 to isolate f-term.

\(\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}\)

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Answer:

Max has $10.00. He earns $25.75 for every lawn that he mows.

Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

Answer:

D. (4,1)

Step-by-step explanation:

I took the test

The equation of the line that is parallel to the given line and passes through the point (–2, 2) is: B. y = 1/5(x) + 12/5

In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope\;,m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

By critically observing the graph of the line, we can logically deduce the following points:

Point (x, y) = (0, -3)

Point (x, y) = (-5, -4)

Substituting the given points into the formula, we have;

Slope = (-4 - (-3))/(-5 - 0)

Slope = (-4 + 3)/(-5)

Slope = -1/-5

Slope = 1/5

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m represents the slope.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

At point (-2, 2), we have:

y - 2 = 1/5(x - (-2))

y - 2 = 1/5(x + 2)

y - 2 = x/5 + 2/5

y = x/5 + 2/5 + 2

y = x/5 + 12/5

y = 1/5(x) + 12/5

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Complete Question:

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y=1/5x+4

y=1/5x+12/5

y=-5x+4

y=-5x+12/5

Answer: B. y = 1/5x + 12/5

Step-by-step explanation: This is just a sum of what the person above me said.....and i can confirm this is the right answer bc i just did the quiz and scored 100% loll. Hope this helps! :D

Answer:

First, let's find the cost of the DVR recorder. Martha paid a total of $288.60 for the recorder and 8 months of service. Since the service costs $19.95 per month, the total cost of 8 months of service is 8 * $19.95 = $159.60. Subtracting this from the total amount Martha paid, we get $288.60 - $159.60 = $129 for the cost of the DVR recorder.

Now, let’s find the total amount Martha will have paid for the 2-year agreement she signed. A 2-year agreement is equivalent to 24 months. So, the total cost of service for 24 months is 24 * $19.95 = $478.80. Adding this to the cost of the DVR recorder, we get $478.80 + $129 = $607.80 as the total amount Martha will have paid for the 2-year agreement she signed.

Step-by-step explanation: