A swimming pool and deck are built in a rectangle with length 40ft and width 18ft.If the pool itself is 320 square feet,what is the area of the deck itself?

Remark

You have to be awfully careful with this inequality. If can cause you all kinds of grief.

The easiest way to do this is to begin by dividing by - 1. What that does is turn the inequality

from (-x/2) < - 1 to

x /2 > 1

The rule is when you divide by a negative, that turns the < sign to > or the other way around ie > to <.  You could actually show  that happening.

Start with your given

-(x / 2) < - 1                      Add 1 to both sides.

-(x / 2) + 1 < - 1 + 1           The 1 and - 1 cancel on the right.

-(x/2) + 1 < 0                    Add x/2 to both sides

-(x/2) + x/2 + 1  <  x/2      Add the like terms on the left.

1 < x/2                             Which is exactly what we predicted would happen

                                      Multiply by 2

2*1 < (x/2) * 2

2 < x

Five less then f

f-5

The expression for the number of pineapples Filip has, given that Francesca has 'f' pineapples and that she always has 5 more than Filip, is 'f - 5'. This algebraic expression signifies that Filip will always have five less than whatever amount Francesca has.

The subject of your question relates to algebraic expressions, which is an essential concept in Mathematics. To create an expression that represents the number of pineapples that Filip has, we need to understand the relationship provided in the question, which is that Francesca has five more pineapples than Filip. If Francesca has 'f' pineapples, we can express the number of pineapples Filip has as 'f - 5' because Filip will always have five less than whatever amount Francesca has.

Here's why that is: Let's say Francesca has 10 pineapples. According to the question, Filip would have 10 (Francesca's pineapples) - 5 (since he has 5 less) = 5 pineapples. No matter how many pineapples Francesca has, if you subtract five from it, you get the number of pineapples that Filip has.

This example demonstrates how algebraic expressions are used to represent relationships or scenarios mathematically. Remember, 'f - 5' is the simplified form of the expression, and it illustrates the consistent difference of 5 pineapples between Francesca and Filip.

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The range is how long the graph extends vertically. So, the lowest value is -9 (since the graph extends down until -9) and the highest value is 9 (since the graph extends up until 9). The lowest value goes in the first box and the highest value goes in the second box. The range is:

-9 ≤ g(t ) ≤9

The number in the hundreds place is 0

Answer:

B) 0

Step-by-step explanation:

The number that represents the digit in the hundreds place of the number 1098 is 0. Since we know that a hundred (100) has two zeros, this means we will count 2 values starting from the back of the given number (1098). The value before the last number counted will represent the digits in the hundred place. The two values counted from the back are 8 and 9. The value preceding 9 is 0, thereby making 0 to represent the digit in the hundred place.

Answer:

the answer is positive 37

Step-by-step explanation:

  Any negative number inside the absolute value brackets will always equal a positive number. ((((((((((((((((((((((((((((((:

Answer:

the answer is 37

Step-by-step explanation:

the absolute value of a negative number is the same number as a positive

7.154 is your answer to 0.98 times 7.3

Hello there.

This question is so easy to me.

[tex]0.98*7.3[/tex]

Explanation:

↓↓↓↓↓↓

Multiply without the decimal points, then you put in the decimal point in your answer.

[tex]98*73=7154[/tex]

0.98 it can also has two decimal places.

7.3 it can also has one decimal place.

Therefore, your answer it has three decimal places.

Answer⇒⇒7.154

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

40°, 50° and 90°

the sum of the angles in a triangle = 180°

sum the parts of the ratio : 4 + 5 + 9 = 18 parts

divide 180 by 18 to obtain 1 part

[tex]\frac{180}{18}[/tex] = 10° ← 1 part

4 parts = 4 × 10 = 40°

5 parts = 5 × 10 = 50°

9 parts = 9 × 10 = 90°

Answer:

1/3

Step-by-step explanation:

i took thee quiz and please make me branilest

Step-by-step explanation:

3*5= 15

15*2= 30

30 baseballs

To find out how many baseballs fit in a box with given dimensions, calculate the volume of the box and the volume of the baseball. Divide the total volume of the box by the volume of a baseball for a basic estimation, but remember this doesn't account for packing efficiency or spaces between balls.

The question asks how many baseballs would fit into a box with dimensions 3x5x2 cubic units. To solve this, one should first calculate the volume of the box and then divide it by the volume of a baseball.

First, the volume of the box is calculated by multiplying the dimensions: 3*5*2 = 30 cubic units.

For an idealized spherical baseball, the diameter is about 3 inches, giving it a radius of 1.5 inches. The volume of a sphere is given by the formula (4/3)πr³. Using this formula and converting the inches to the same units as the box dimensions, we calculate the volume of a baseball.

Then, we divide the total volume of the box by the volume of a single baseball to determine how many baseballs can fit into the box. However, this is a simplistic estimation as it neglects factors such as the packing efficiency or the potential spaces between the balls.

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The answer is Vertical angles are equal.

Answer:

Vertical angles are equal

Step-by-step explanation:

just did this assignment :)

420-600=-180 Hope this helps

Mason's ending elevation after descending 600 feet from a starting elevation of 420 feet is -180 feet, meaning he is below sea level.

To solve for Mason's elevation after his descent, we need to subtract the distance he traveled downward (600 feet) from his starting elevation (420 feet). We can represent this mathematically as:

Elevation after descent = Starting elevation - Descent

Elevation after descent = 420 feet - 600 feet

Elevation after descent = -180 feet

Therefore, when Mason stops, he is at an elevation of -180 feet. This means he is 180 feet below sea level, assuming the initial elevation is measured from sea level.

487.2

Find mean by adding all numbers together and then dividing by the number of numbers

Answer:

The answer is 474 :))

Hello!

Here's how to solve for x.

27=17+2x

Our first step is to subtract 17 from both sides, leaving us with

27-17=17(-17)+2x --- > 10=2x

We then divide both sides by 2 to isolate  x!

10/2=2x/2

10 divided by 2 gives us 5 meaning that x=5

The answer will be for x-intercept is (6,0)

And the y-intercept to be (0,-9)

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=[tex]\frac{p}{q}[/tex] and b = Any fraction=[tex]\frac{u}{v}[/tex]

now ,

[tex]\frac{p}{q} + \frac{u}{v}[/tex]

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,[tex]\frac{p}{q} + \frac{u}{v}[/tex]

=[tex]\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\[/tex]

= [tex]{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k[/tex]

then ,

a + b=[tex]\frac{k}{r}[/tex]

The associative property

The equation (6 + 7) + 1 = 6 + (7 + 1) demonstrates the associative property of addition, indicating that grouping does not affect the sum of numbers being added.

The addition property being illustrated by the equation (6 + 7) + 1 = 6 + (7 + 1) is the associative property of addition. This property states that when three or more numbers are added, the grouping of the numbers does not change the sum.

In other words, no matter how you group the numbers (which ones you add first), the total is always the same. The equation given shows that whether you add 6 and 7 first, and then add 1, or you add 7 and 1 first, and then add it to 6, the result is the same.

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

To solve the equation 7t = x for t, divide both sides of the equation by 7. This will give you the formula t = x/7.

The provided equation in the question is 7t = x. If you're looking to solve for t, we want to isolate t on one side of the equation. In order to do this we have to remove the 7 multiplied by t. To do this, we can divide both sides of the equation by 7. This leads us to the formula t = x/7. Thus removing any variable or value attached to t, we can make t the subject and derive its value

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In order to construct the bisector of ∠A using a compass the steps are as following :

1) Place the point of the compass on point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points B and C.

2) Place the point of the compass on point B and draw an arc in the interior of the angle.

3) Without changing the opening of the compass, place the point of the compass on point C and draw another arc in the interior of the angle.

4)  Label the intersection of the arcs in the interior of the angle as point D.

5) Use the straightedge to draw AD−→−.

Answer:

I did the test and got 100 the awnser to this qwestion is 6 hope you get 100. Good luck

Step-by-step explanation:

Distribute the -9 into the values in the parentheses.

[tex]-9(-2x-3)[/tex]

[tex]-9*-2x=18x[/tex]

[tex]-9*-3=27[/tex]

Therefore, the equation then becomes: [tex]18x+27[/tex].

The answer is the first choice, or A.

660 feet

given distance varies directly with time (t) then

d = kt ( k is the constant of variation )

find k using the condition d = 264 when t = 0.5

k = [tex]\frac{d}{t}[/tex] = [tex]\frac{264}{0.5}[/tex] = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

Answer:

660 feet

Step-by-step explanation:

given distance varies directly with time then

d = kt

find k using the condition d = 264 when t = 0.5

k =  =  = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

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5 5/8 cups, 8 people 4 1/2 cups, 2 people 1 1/8 cups, 4 1/2 = 4 4/8

4 4/8  + 1 1/8= 5 5/8

Answer:

Option D is correct.

Step-by-step explanation:

Given:

Distance Juan runs around a football field = [tex]4\frac{1}{6}\:times[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}\:times[/tex]

We need to find the distance they run in improper fraction.

We are given Distance in Mixed fraction. So we convert the distance in improper fraction.

Distance Juan runs around a football field = [tex]4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}[/tex]

Therefore, Option D is correct.

Answer,

X = 18

Hope this helps :-)

13x=234

divide 13 on both sides

x=18

i think the answer is going to be d

The system of equations has no solutions because the equations represent the same line and lines are parallel. Therefore, option a is the correct answer.

Let's analyze the system of equations:

−x+2y=6

−x+2y=0

Both equations have the same coefficients for x and y, which means they represent parallel lines.

However, they also have different constants on the right-hand side (6 and 0).

The system of equations is inconsistent because parallel lines with different y-intercepts do not intersect.

Therefore, there are no solutions.

The correct answer is: A. None

The inverse of the equation y = -12x + 7 is found by replacing 'y' with 'x' and 'x' with 'y', then solving the equation for y. The result is y = 1/12x - 7/12.

The equations y = -12x + 7 is given, and you are asked to find the inverse of this equation. The first step to finding the inverse of a function is to replace 'y' with 'x' and 'x' with 'y'. So, our equation becomes x = -12y + 7. Now, you need to solve this equation for y to find the inverse function. You do this by subtracting 7 from both sides then dividing by -12, which yields: y = (-x + 7) / -12 or y = 1/12x - 7/12. This is the inverse of the given function.

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B

the surface area (SA ) is made up of 2 rectangles 2 by 6, 2 rectangles 2 by 5 and 2 rectangles 6 by 5

SA = 2( 2 × 6 ) + 2(2 × 5 ) + 2(6 × 5 )

    = 24 + 20 + 60 = 104 m²

26 divided by 2 is 13

13 divided by 2 is 6.5

6.5 + 6.5 = 13