The area of a rectangular pool deck is 168 ft². The length is 14 ft. What is the width of the pool deck?

Answer:

1.2 ft

Step-by-step explanation:

We can use ratio's to solve this problem.  Put the item on top, and the shadow on the bottom

40 ft flagpole       4 ft child

--------------------- = --------------------

x ft shadow            .8 ft shadow

Using cross products

40 * .8 = 4x

32 = 4x

Divide each side by 4

32/4 = 4x/4

8 = x

The flag pole casts an 8 ft shadow

The question asks how much longer is the shadow of the flagpole and Robin than the flagpole?  In other words, how long is Robins shadow

40 ft flagpole       6ft  Robin

--------------------- = --------------------

8 ft shadow            x ft shadow

Using cross products

40 *x = 6*8

40x = 48

Divide by 40

40x/40 = 48/40

x = 1.2

Answer:

1.2

Step-by-step explanation:

The height of an object and the length of its shadow are directly proportional. Let h be the height of an object and s be the length of its shadow. From the information about the child, we have h/s = 4/(0.8) = 5. The flagpole with Robin on top has a height of 46 feet. Suppose its shadow has length x. Solving the equation 46/x = 5 for x gives us x = 46/5 = 9.2 feet. The flagpole alone is 40 feet tall. Suppose its shadow has length $y.$ Then, we must have 40/y = 5. Solving this equation gives y=8 feet. So, the difference in shadow lengths is 9.2 -8= 1.2

Answer:

y-1 =( -5/3) (x-1)

Step-by-step explanation:

The point slope equation for a line is

y-y1 = m(x-x1)

where m is the slope and (x1, y1) is a point

We need to determine the slope

The formula for slope is

m = (y2-y1)/(x2-x1)

where (x1,y1) and (x2,y2) are points

m = (1-6)/(1--2)

  = (1-6)/(1+2)

    =-5/3

The slope is -5/3

Now we can substitute the slope into the equation for a line.  We can use either point.  I will use (1,1)

y-y1 = m(x-x1)

y-1 =( -5/3) (x-1)

Answer:

y-1 =( -5/3) (x-1)

Step-by-step explanation:

The point slope equation for a line is

y-y1 = m(x-x1)

where m is the slope and (x1, y1) is a point

We need to determine the slope

The formula for slope is

m = (y2-y1)/(x2-x1)

where (x1,y1) and (x2,y2) are points

m = (1-6)/(1--2)

 = (1-6)/(1+2)

   =-5/3

The slope is -5/3

Now we can substitute the slope into the equation for a line.  We can use either point.  I will use (1,1)

y-y1 = m(x-x1)

y-1 =( -5/3) (x-1)

Answer:

96 units

Step-by-step explanation:

If ABCD is parallelogram, then its diagonals bisect each other. This means that

Since [tex]AE=x^2-16[/tex] and [tex]EC=6x,[/tex] you get

[tex]x^2-16=6x,\\ \\x^2-6x-16=0,\\ \\D=(-6)^2-4\cdot 1\cdot (-16)=36+64=100,\\ \\x_{1,2}=\dfrac{-(-6)\pm \sqrt{100}}{2\cdot 1}=\dfrac{6\pm 10}{2}=8,\ -2.[/tex]

The distance cannot be negative, thus, [tex]x=6\ units.[/tex]

[tex]AE=8^2-16=64-16=48,\\ \\CE=6\cdot 8=48,\\ \\AC=AE+EC=48+48=96\ units.[/tex]

Answer:

quotient is x+4 and remainder 2.

Step-by-step explanation:

Given an polynomial of degree 2 and we are to divide it by x+6.

To find quotient and remainder

We can do synthetic division

When we divide by x+6 consider -6

and write on left.  Write the coefficient 1 , 10, 26 inside

-6       1      10     26

         x       -6    -24

       ---------------------

          1      4       2 =R

So remainder is 2 and quotient is x+4

Let us verify

(x+4)(x+6) = [tex]x^2+10x+24[/tex]

If we add the remainder we are getting the given expression.

[tex]x^2+10x+26[/tex]

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit.

Divide the first two digits.

Enter the first digit of the quotient.

(See image attached for an example)

Answer:

154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE

Step-by-step explanation:

Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.

Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES

Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.

The statement:

"Fifteen times the number of registered great Danes " means 15x

and

"6997 more than fifteen times the number of registered great Danes" means 15x + 6997

then as per the given statement:

x = 9860 .

To solve for y;

y = 15x+ 6997

Substitute the value of x we get;

[tex]y = 15(9860)+6997[/tex]

Simplify:

y = 154,897

Therefore, the registered Labrador Retrievers were there are;  154,897

The number of registered Labrador Retrievers in 1999 was calculated to be 154897 by multiplying the number of registered Great Danes (9860) by 15 and then adding 6997 to the result.

To determine the number of registered Labrador Retrievers, we need to calculate fifteen times the number of registered Great Danes, then add 6997 to that product. We are given that in 1999, there were 9860 registered Great Danes with the American Kennel Club. Let's do the math:

The number of registered Labrador Retrievers was 154897.

Answer:

5 times

Step-by-step explanation:

Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.

check the picture below.

make sure your calculator is in Degree mode.

now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.

The value of the expression 2(y-3xy) when x = -5 and y = 4 is 128.

To evaluate the expression 2(y-3xy) given that x = -5 and y = 4, we substitute the values of x and y into the expression.

2(y-3xy) = 2(4-3(-5)(4)) = 2(4+60) = 2(64) = 128

https://brainly.com/question/18404438

#SPJ3

Answer: (-3, -5)

Step-by-step explanation:

-6x +  y =  13  

6x + 3y = -33

         4y = -20

        ÷4     ÷4

          y  =  -5

6x + 3y = -33

6x + 3(-5) = -33

6x - 15 = -33

6x        = -18

x         = -3

*********************************************************************************

Answer: ([tex]\frac{1}{3}[/tex], 2)

Step-by-step explanation:

9x +  y =  5   →    1(9x +  y =  5)   →    9x +  y =  5

3x - 3y = -5   →  -3(3x - 3y = -5)  →   -9x + 9y = 15

                                                                10y = 20

                                                              ÷10    ÷10

                                                                   y = 2

9x +  y =  5

9x + (2) = 5

9x        = 3

 x         = [tex]\frac{1}{3}[/tex]

Answer: 15.80%

Step-by-step explanation:

Given: Total population=62400

The total number of students=9860

To find the percent of the total population is students, we need to divide total population by total number of students and then multiply with 100, we get

The percent of the total population is students=[tex]\frac{9860}{62400}\times100[/tex]

[tex]=\frac{9860}{624}\\=15.80\%[/tex]

Hence, the percent of the total population is students is 15.80%.

Final answer:

To calculate the percentage of the total population that are students, divide the number of students (9860) by the total population (62400) and multiply by 100, resulting in approximately 15.8%.

Explanation:

To find the percentage of the population that are students, we use a simple formula where we divide the number of students by the total population and then multiply the result by 100. Applying this to the given numbers:

Percentage of students = (Number of Students / Total Population) × 100

Using the numbers provided:

Percentage of students = (9860 / 62400) × 100

Percentage of students = 0.15801282 × 100

Percentage of students = 15.801282%

Therefore, approximately 15.8% of the total population is students.

Answer:

It will take 2 people 10 days to complete the task.

Step-by-step explanation:

It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i.e., 10 people take 10 working hours to complete a task.

When number of people is decreased by 5 times, i.e., 10÷5=2, then the amount of working hours are increased by 5, i.e., 10×5= 50 hours.

If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.

Answer:

27

Step-by-step explanation:

Pamela is 13 years younger than Jiri and the sum of their ages is 41, therefore (x=Jiri's age) (x-13) + x = 41)  2x-13=41  x=14. Pamela is 14 and Jiri is 27

Answer:

Distance = rate x time

= 6 and 3/8 times 5 and 1/3

= 51/8 times 16/3

= 17 times 2 <---- 51 cancels 3 and 18 cancels 8

= 34 km

Answer:

34 km

Step-by-step explanation:

Distance = rate x time

= 6 and 3/8 times 5 and 1/3

= 51/8 times 16/3

= 17 times 2 <---- 51 cancels 3 and 18 cancels 8

= 34 km

Answer:

x= to 5

Step-by-step explanation:

Answer:

“The true mean weight of the piglets is at most 39lbs”would be the alternate hypothesis.

Step-by-step explanation:

Given that  the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

We have to find the alternate hypothesis.

In hypothesis testing, alternate is the opposite of null hypothesis.  If null hypothesis supports one statement alternate hypothesis opposes it.  In other words, alternate hypothesis would be the negative of the claim of null hypothesis.

Here the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

i.e H0: [tex]x bar\geq 39 lbs[/tex]

So alternate hypothesis

Ha:  [tex]x bar\leq 39 lbs[/tex]

Answer:

Step-by-step explanation:

X= (-7+radical 13)/6

X=(-7-radical 13)/6

Answer:

$22.00 will be paid in taxes on the new amount

Step-by-step explanation:

550 x .3333 = 183.315 (round up to 183.32)

550 + 183.32 = 733.32 is the new price for the furniture

733.32 x .03 = 21.9996 (round up to 22.00)

Answer:

10v²

Step-by-step explanation:

6v² + 4v² =

10v²

Answer:

11.375 pounds

Step-by-step explanation:

1.75 * 6.5 = 11.375

11 and 3/8 pounds of meat are required in total.

The student is asking a multiplication problem that involves fractions. To find the amount of meat needed, we multiply the amount of meat required for one batch by the number of batches.

Step-by-Step Calculation

First, we must convert the fractions into improper fractions to simplify calculation. The recipe requires 1 and 3/4 pounds of meat, which is
7/4 pounds (since 1 pound is 4/4 pounds, we add 3/4 pounds to get 7/4 pounds).

Next, the number of batches is 6 and 1/2, which as an improper fraction is 13/2 batches.

To find the total amount of meat required, we multiply the pounds per batch by the number of batches: (7/4) pounds x (13/2) batches = (7/4) x (13/2) = (7 x 13) / (4 x 2) = 91/8 pounds.

Finally, convert 91/8 pounds to a mixed number: 11 and 3/8 pounds of meat are required in total.

To solve the equation y = mx + b for x, subtract b from both sides and then divide by m, resulting in x = (y - b) / m.

To solve the equation y = mx + b for x in terms of y, you need to isolate x on one side of the equation. Here’s how you can do it step by step:

Therefore, the equation solved for x in terms of y is x = (y - b) / m.

Answer:

3

Step-by-step explanation:

25 percent of 12 is 3

Answer:

Step-by-step explanation:

According to the problem, Sarah's percentage of successful free throws is 75%, this means that she failed a 25% of the total. If the total free throws are 12, then:

[tex]12(0.25)=3[/tex]

(Remember that, 25% is divided by 100, to have the decimal expression of this percentage)

Therefore, Sarah missed 3 free throws during the game.

Answer:not enough infoStep-by-step explanation:

Answer: zom me with 2 o's

Id:2478158957

Password: 8xle3l

The correct answer is:

3) equal differences over equal intervals

Linear functions exhibit a consistent rate of change over equal intervals, leading to equal differences between successive values of the function. This characteristic is fundamental to understanding linearity.

When graphed, linear functions form straight lines, and the slope of the line represents the rate of change or the coefficient of the independent variable. Regardless of the specific values of the function, the change in output over any fixed change in input (interval) remains constant.

This property is referred to as having equal differences over equal intervals. It contrasts with non-linear functions, where the rate of change varies across the function's domain, resulting in unequal differences over equal intervals.

Identifying and understanding this characteristic helps in recognizing linear relationships and interpreting their behavior in various contexts, from mathematics to real-world applications.

Answer:

Where is the diagram

Step-by-step explanation:

?????

Answer:

C

Step-by-step explanation:

CD

For comparing two data sets using box plots, 'median and IQR' is the best choice as they describe the center and variability effectively, especially for skewed data. Therefore, option d is the correct answer.

When comparing two data sets using box plots, the best measures of center and variability to use are often the median and interquartile range (IQR).

The median best describes the center of a skewed distribution, as it is not affected by extreme scores, and the IQR describes the variability by measuring the spread of the middle 50 percent of the data.

Therefore, between the options provided, 'median and IQR' would be the best measures to compare the two data sets of Test 1 Grades and Test 2 Grades.

A box plot displays the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.

The IQR is calculated by subtracting Q1 from Q3, giving us the spread for the middle 50 percent of the data. This is helpful when assessing how close the data values are to the center and how they are distributed within that range.

Therefore, option d is the correct answer.

Answer:

0 = -6 + x

Step-by-step explanation:

x = Day 1 Scores

The equation I stated above represents what he scored the second day plus whatever he scored the first day to equal zero.

Hope This Helps :)

Answer:

0 = -6 + x

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.