what is the solution set?

124.5 mph is needed to go the same distance in two-thirds minute

Let rate = r

and time = t

Since rate varies inversely with time, we have:

r = k/t ....................................................(1)

Where k is constant

Given

r = 166 mph, and t = 1/2, we can find the value of k as follows:

166 = k/(1/2)

k = 1/2 * 166

= 83

Substituting the value of k into equation (1)

r = 83/t ....................................................(2)

For r = ? and t = 2/3, we have:

r = 83/(2/3)

= 83 * 3/2

= 124.5 mph

124.5 mph is needed to go the same distance in two-thirds minute

If Ms. Devine has more total jeans than Mr. Faretta, then it is possible that Ms. Devine has more Abercrombie jeans than Mr. Faretta.

25 percent of Ms. Devine's jeans and 50 percent of Mr. Faretta's jeans are from Abercrombie.

Let's say the number of jeans Ms. Devine have is x and the number of jeans Mr. Faretta have y number of jeans.

Now, let x = 20 and y = 10

Then, the number of Abercrombie jeans Ms. Devine has will be:

25 % of 30 = ( 25/100 ) × 30 = 25/5 = 7.5

and; the number of Abercrombie jeans Mr. Faretta has will be:

50% of 10 = ( 50/100 ) × 10 = 5

Hence, to conclude if Ms. Devine has more jeans when compared to Mr. Faretta it is possible that Ms. Devine has more Abercrombie jeans than Mr. Faretta.

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Data:

Initial salary: $65,000

Salary after decrease: $55,000

To find the percentage of decrease you use the next formula:

Where:

D is the percentage of decrease

O is the original value

N is the new value

Then, you have the next:

O=$65,000

N= $55,000

Answer:

x=1.5

Step-by-step explanation:

Simplifying

5x + 12 + -1x = 18

Reorder the terms:

12 + 5x + -1x = 18

Combine like terms: 5x + -1x = 4x

12 + 4x = 18

Solving

12 + 4x = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 4x = 18 + -12

Combine like terms: 12 + -12 = 0

0 + 4x = 18 + -12

4x = 18 + -12

Combine like terms: 18 + -12 = 6

4x = 6

Divide each side by '4'.

x = 1.5

Simplifying

x = 1.5

Answer:

Firstly: collect like terms

Secondly: simplify

Lastly: divide the number you got from the one without the letter x by the number you got with the letter x

What is a slope?

It shows how inclinated is a line. It goes from zero, 0 (no inclination - horizontal line), no infinity (total inclination - vertical line).

It can also be representated by negative numbers

The function that models the inverse variation is: y = 1/2x.

When x = 10, y = 1/20.

The function that models an inverse variation between two variables, x and y, can be expressed as:

y = k/x.

Given that y = 1/6 when x = 3, find the value of the constant, k, by substituting the values of x and y into y = k/x:

1/6 = k/3

Multiply both sides by 3

1/6(3) = k/3(3)

1/2 = k

k = 1/2.

The function for the inverse variation would be, y = 1/2/x

y = 1/2x

To find y when x = 10, substitute the value of x = 10 into the equation y = 1/2x:

y = 1/2(10)

y = 1/20

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The value of the 20 coins now on the table is $1.35.

It is a group of components from which any one may be chosen to take the place of a certain variable or placeholder in a mathematical phrase or expression (such as an equation).

Given Data

You place 20 pennies on the table in a row. Now replace every fourth coin with a nickel. Now replace every third coin with a dime.

Now replace every sixth coin with a quarter.

You will receive 5 nickels if you exchange every fourth coin for one because

[tex]\frac{20}{4}[/tex]= 5.

You will then have 6 dimes if you substitute a dime for every third coin. Finally, you will receive three quarters for every sixth coin that contains a quarter.

However, there is some overlap when a nickel is replaced with a dime or a dime is replaced with a quarter, resulting in 3 quarters, 3 dimes, and 4 nickels, with the remaining pennies.

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1/2(12n- 4) =14-10n​

First, apply the distributive property to solve the parenthesis

1/2 (12n)+1/2 (-4) = 14-10n

6n-2 =14-10n

Combine like terms

6n+10n = 14+2

16n=16

Divide both sides of the equation by 16

16n/16 =16/16

n= 1

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

A scatter plot is a form of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a collection of data. It is also known as a scatter graph, scatter chart, scatter gram, or scatter diagram.

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The widths of the tables are 5 feet 4 inches wide and 5 feet 9 Inches wide.

The first step is to add the dimensions in feet. We have

5 + 5 = 10 feet

The next step is to ad the dimensions in inches. We have

4 + 9 = 13 inches

Recall,

1 foot = 12 inches

Thus means that 13 inches = 1 foot and 1 inch. Adding 1 foot and 1 inch to 10 feet, the total width would be

11 feet 1 inch

The length of a side of the triangle is 16.

A polygon is classified as regular when all sides and angles are equal. Therefore, a regular quadrilateral presents all the four sides and the  four angles equal. You can use the same conclusion for a regular triangle, but for a triangle the three sides and the  three angles are equal.

The question gives:

As the triangle was classified as regular, all its sides (x) are equal. Then,

x+x+x=48

3x=48

x=48/3

x=16

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This situation can be modeled by the binomial distribution, because there are two outcomes: a nurse can respond or a nurse cannot respond. The probability, p, that a nurse can respond is 0.8 (or 80%), the probability, q, that a nurse cannot respond is 0.2 (= 1 - 0.8). In 25 trials, we need that in 21 of them a nurse can respond.

The binomial distribution formula is:

where xCn means number of combinations, n is the number of trials, x is number of times for a specific outcome within n trials, p is the probability of succes, and q is the probability of failure.

Substituting with n = 25, x = 21, p = 0.8 and q = 0.2, we get:

The perimeter of the equilateral triangle is 45 meters.

An equilateral triangle is a polygon that has three sides that are of equal length. The sum of angles in an equilateral triangle is 180 degrees. The perimeter of an equilateral triangle  is the distance round the triangle. It can be determined by adding the length of the three sides of the triangle together.

The first step is to determine the side length of the triangle. The base can be determined from the area.

Area of a triangle = 1/2 x base x height

97.5 = 1/2 x 13 x b

b = (97.5 x 2) / 13

b = 15 meters

Perimeter = 15 x 3 = 45 meters

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The situation forms a right angle triangle. The distance form the coast to the helicopter is 1535.25910 ft.

Right angle triangles exists triangle that contains one of its angles as 90 degrees. The height of the helicopter exists the opposite side of the triangle formed.

How far off the coast to the helicopter is the adjacent side.

The situation forms a right angle triangle.

Therefore, tan 35° = opposite / adjacent

tan 35° = 1075 / a

Multiply both sides by a,

tan (35°) a = (1075 / a) a

Simplifying the above equation, we get

[tex]$\tan \left(35^{\circ}\right) a=1075$$[/tex]

Divide both sides by [tex]$\tan \left(35^{\circ}\right)$[/tex]

tan (35°) a / tan (35°) = 1075 / tan (35°)

Simplifying the above equation, we get

a = 1075 / tan (35°)

singularity points: a = 0

Combine undefined points with solutions:

a = 1075 / tan (35°)

a = 1535.25910 ft

Therefore, the distance form the coast to the helicopter exists 1535.25910 ft.

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Step 1

Given;

Step 2

The size of the angle facing any side of a triangle determine how size or length of that side. The bigger the angle, the longer the side.

In a triangle, the largest side is opposite the largest angle and vice versa and the shortest side is opposite the smallest angle and vice versa

Thus, 63 is bigger than 62. So we conclude that;

Answer;

The coordinates of the midpoint of a segment with two endpoints ( 22, 4 ) and ( 15, 7 ) is ( 37/2, 11/2 ).

The center of a line segment is known as the midpoint. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Consider the two endpoints of the segments as:

A( 22, 4 ) and B( 15, 7 )

Let M( x, y ) be the midpoint of the line segment.

Then AM = MB = ( 1/2 )AB

Therefore, the points will also the halfway from the midpoint.

Therefore,

M( x, y ) = ( 1/2 )A + ( 1/2 )B

M( x, y ) = 1/2( 22, 4 ) + ( 1/2 )( 15, 7 )

M( x, y ) = ( 11, 2 ) + ( 15/2, 7/2 )

M( x, y ) = ( 11 + 15/2, 2 + 7/2 )

M( x, y ) = ( 37/2, 11/2 )

Therefore, the coordinate of the midpoint of the line segment is ( 37/2, 11/2 ).

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Answer:

5/6

Step-by-step explanation:

Well......I don't know how to tell you how to solve it....it just is .

mrs.bells daughter has 3.5 baskets of towels that need to be folded.if she gets 1.5 baskets folded per hour,how many hours will it take her daughter to fold all of the towels​

we know that

The unit rate is 1.5 baskets per hour

To find out the number of hours , divide the total baskets by the unit rate

so

3.5/1.5=2.33 hours

2.33 hours=2 1/3 hours or 2 hours 20 minutes

therefore

the answer is

[tex]4x = 23- 7 \\ 4x = 16 \\ \frac{4x}{4} = \frac{16}{4} \\ x = 4[/tex]

I HOPE THIS IS WHAT YOU WANT SINCE YOU WERE NOT STRAIGHTFORWARD.

DM ME IF YOU HAVE ANY QUERIES.

Explanation

Step 1

to find the equation use:

Let

slope=-7/2

point= P(4,-14)

Step 2

replace,

I hope this helps you

ANSWER

-24

EXPLANATION

We have the expression and we want to find its value when b is 2 and c is -3.

To do that, we replace b in the expression with 2 and c with -3.

The expression is:

-4b + 8c + 12 - 8b - 2c + 6

So, we have:

-4(2) + 8(-3) + 12 - 8(2) - 2(-3) + 6

=> -8 - 24 + 12 - 16 + 6 + 6

=> -24

That is the answer.

EXPLANATION

Applying the relationship output = input * 4 give us the appropiate y-value as shown as follows:

x y

-5 -5*4= -20

12 12*4 = 48

32 32*4 = 128

The answer is the second option.

The domain of the relation represented in the graph as given in the task content is; [2, infinity).

The range of the relation is; (-infinity, infinity).

It follows from the task content that the domain and range of the relation are to be determined from the graph given.

Since the range is the set of all possible output, y-values, it follows from the arrows in the graph that the range is the set of all real numbers and hence can be represented using interval notation as; (-infinity, infinity).

Also, the domain is the set of all possible input, x-values and can be determined from the graph as numbers greater or equal to 2 as 2 is the minimum of the curve.

Domain = [2, infinity).

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Given data:

In triangle DEF ,

DF = 25

DE = 41

EF = 40

In triangle ABC,

AB = 96

AC = 61

BC = 96

From above it is clear that , corresponding sides of triangle are not similar

Therefore, the triangle are not similar.

Mean:

We are asked to find the mean of the following data set.

86, 78, 94, 94, 98

The mean is given by

Where n is the total number of values in the data set.

The mean of the data set is 90.

Median:

To find the median, first, arrange the values in ascending order (least to greatest).

78, 86, 94, 94, 98

The median value is the most middle value in the data set.

The 3rd value in the data set is 94.

Therefore, the median of the data set is 94.

Mode:

The mode is the most repeated value in the data set.

86, 78, 94, 94, 98

As you can see, the value 94 is the most repeated value (two times) in the data set.

Therefore, the mode of the data set is 94.

Equation are AA = 33+15tt and BB = 15+7tt. Tree A will remain taller than tree B till 2.25 years.

Size of Tree A in the beginning = 33 inches

Size of Tree B in the beginning = 15 inches

Increase in length of Tree A per year = 4 inches

Increase in length of Tree B per year = 7 inches

Let AA represent the height of Tree A tt years after being planted. Let BB represent the height of Tree B tt years after being planted.

Formulating the equation we get:

For tree A:

Height after tt years = Height in beginning + Increase each year*Number of years

AA = 33 + 15tt-----(1)

For tree B:

Height after tt years = Height in beginning + Increase each year*Number of years

BB = 15 + 7tt------(2)

Equating (1) and (2) we get:

33 + 15tt = 15 + 7tt

18 = -8tt

tt = 2.25 years

So, the trees will be of the same height in 2.25 years

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By definition:

• the "k" in the unit kg means 1000,

• the "g" in the unit kg means g (grams).

So we have that:

1 kg is equivalent to 1000 grams

The frequency table can be filled by counting the number of each grades in the list.

The grade A is 6 times, grade B is 2 times, grade C is 4 times, grade D is 5 times, grade F is 4 times.

Answer:

Grade Frequency

A 6

B 2

C 4

D 5

F 4