7. John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The
fence is to be 15 feet from the edge of the pool.

[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]

Using proportions, it is found that each person consumes 3.57 times as many rice in Brazil and they do in the United States.

A proportion is a fraction of a total amount.

In this problem, we have that:

Hence, the rate between the consumption in Brazil and in the United States is given by:

[tex]r = \frac{5 \times 10^4}{1.4 \times 10^4} = 3.57[/tex]

Each person consumes 3.57 times as many rice in Brazil and they do in the United States.

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Answer: Choice C

7*r+7*4-3

=========================================================

Reason:

We use the distributive property to go from 7(r+4) to 7*r+7*4

Multiply the outer 7 by each term inside.

Then the -3 tags along without any changes to it

So we go from 7(r+4) - 3 to 7*r+7*4 - 3

This can be simplified further to 7r+25, but your teacher has chosen not to simplify at this time.

Answer:

Your Answer is 11 inches by 2 inches

Step-by-step explanation:

Area of Rectangle: Area = Length * Width

Given information:

Put that into the Formula.

Area = Length * Width

22 in^2 = (2x - 1) * (x - 4)

Solve.

22 in^2 = (2x - 1) * (x - 4)

[tex]22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0[/tex]

Factor it.

(2x^2 - 9x - 18) = 0

(2x + 3)(x-6) = 0

[tex]x=-\frac{3}{2} ,6[/tex]

Plug that into the Length and Width to find the actually Length and Width.

Length:

[tex]2x - 1\\2*-\frac{3}{2}-1\\ -3-1\\-4\\[/tex]

Width:

[tex]x - 4\\-\frac{3}{2}-4\\ -\frac{11}{2}[/tex]

Area = Length * Width

Area = - 4* -11/2

Area = 22

Length:

[tex]2x - 1\\2*6-1\\ 12-1\\11\\[/tex]

Width:

[tex]x- 4\\6-4\\ 2[/tex]

Area = Length * Width

Area = 11 * 2

Area = 22 in^2

Answer:

n(A) = 5 and n(B) = 9

Step-by-step explanation:

It should be 5 in A and 9 in B

Answer: 1/2

Step-by-step explanation:

I took the ixl and I put 1/3 but it was actually 1/2

The fraction of books which had 200 or fewer pages is given by A = 1/2

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Isabelle kept track of the number of pages in each book she read last summer

Now , let the box plot be represented as A

Now , the first and third quartile along with the median is given below ;

So , the fraction of books which had 200 or fewer books is given by A = 1/2

Hence , the box plot is solved and the fraction is A = 1/2

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Answer:

22km

Step-by-step explanation:

5 x 4 = 20

1 x 4= 4

4 divided by 2 is 2

20+2=22km

Answer:

in the beginning bill have 8$

Step-by-step explanation:

8$

Step-by-step explanation:

Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

If Y = 45 when X=140 means 45 = 140K

K = 45/140 = 0.32

Now that we know the value of K, we can use it to calculate the value of Y when X=70

Y = (0.32)(70) = 22.4

Hope this helps :)

Answers:

This can be found by using the combinations and permutations formulas.

Combinations being the C equation and Permutations being the P equation.

21: [tex]C_{6}(21) = \left[\begin{array}{ccc}21\\6\end{array}\right] =\frac{21!}{6!(21-6)!}=\frac{21*20*19*18*17*16}{6*5*4*3*2*1} = 54264[/tex]

answer: 54264

22: [tex]C_{2}(n) = \left[\begin{array}{ccc}n\\2\end{array}\right] =\frac{n!}{2!(n-2)!}= answer[/tex]

answers:

  Art: 15

  Writing: 21

  Technology:  28

23: [tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]

answer: 720

Explanation:

A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

Answer:

o

Step-by-step explanation:

because 6x is B and 2 is C so that means A 0

Answer: C

Step-by-step explanation:

Answer:

w=√200 (or 14.14)

y=20

yea pretty simple its just the Pythagorean theorem and the fact that a triangle with equal base angles is isosceles triangle

Answer:

A = 59 in²

Step-by-step explanation:

the area (A) of the shaded region is calculated as

A = area of outer triangle - area of inner triangle

  = [tex]\frac{1}{2}[/tex] bh - [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

  = [tex]\frac{1}{2}[/tex] × 13 × 14 - [tex]\frac{1}{2}[/tex] × 8 × 8

  = 91 - 32

  = 59 in²

Answer:

Native vegetable varieties are being organically cultivated by local farmers for hundreds of years. It is always recommended to regularly consume native vegetables where you belong to. Hybrids on the other hand are superior varieties of same vegetable species artificially crossed & developed by humans.

Step-by-step explanation:

Statements:

1. m<DHF = m<EHG

2. m<1 = m<1

3. m<2 + m<1 = m<DHE

m<3+ m<1 = m<EHG

4. m<2 + m<1 = m<3 + m<1

5. m<2 = m<3

Reasons:

1. Given

2. reflective property

3. Angle addition postulate

4. substitution

5. subtraction property of equality

Answer:

20, 18,14,24 are not perfect squares.

Answer:

24, 14, 18, 20

Step-by-step explanation:

A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.

5 x 5 = 25

6 x 6 = 36

4 x 4 = 16

hope this helps!

Hey there!

3/4

= 3 ÷ 4

= 0.75

= 75%

Option A.
12/16

= 12 ÷ 2 / 16 ÷ 2

= 6 / 8

= 6 ÷ 8

= 0.75

= 75%

Thus, this statement is: TRUE

Option B.
6/8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Option C.
15/20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%

Thus, this statement is: TRUE

Option D.
20/28

= 20 ÷ 2 / 28 ÷ 2

= 10 / 14

= 10 ÷ 2 / 14 ÷ 2

= 5 / 7

= 0.714286

= 71.4286%

Thus, this statement is: FALSE

Option E.
24/32

= 24 ÷ 2 / 32 ÷ 2

= 12 / 16

= 12 ÷ 4 / 16 ÷ 4

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
Thus, this statement is: TRUE

Therefore, your answers are

• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

The compound Inequality is: 1. x -3 < - 9Adding 3 to both sidesx -3 + 3 < -9 + 3x < -6x  ∈ (-∞,-6)2. x + 5 ≥ 12Subtracting ,5 from both sidesx +5 -5 ≥ 12 -5x ≥ 7x ∈ [7 , ∞)Combining , solution of inequality 1 and inequality ,2→→x ∈ (-∞,-6) ∪x ∈ [7 , ∞)Depicting on the number line ,the solution setOption C: A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right

Answer:

1000

Step-by-step explanation:

High school only - 1019 and round to the nearest thousand

x = 7

hope it helps...!!!

Answer:

The equation of the line in point-slope form is y - 2 = -4(x + 5).

Step-by-step explanation:

Use the point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].

Substitute the point (-5, 2) and the slope m = -4 into the equation.

If we stop here, this is the equation of the line in point-slope form.

Answer:

94 minutes

Step-by-step explanation:

To get to 9:00, we add 6 minutes. From 9 to 10, there's 60 minutes. From 10 to 10:28, there's 28 minutes.

If we add them all together we get 94 minutes or 1 hour and 34 minutes.

Hope this helps.

Answer:

1:34 hours

Step-by-step explanation:

Step 1:  Determine how long was Chris doing chores

10:28 AM - 8:54 AM

9:88 AM - 8:54 AM

1:34 hours

Answer:  1:34 hours

Answer:

112 degrees

Step-by-step explanation:

180-68=112

Since they are supplementary they form a straight angle, or 180 degrees so the angle AED is 112

Answer:

112

Step-by-step explanation:

∠AED and 68 are Linear pair angles.

That is their sum will be equal to 180,

∠AED + 68 = 180

∠AED = 180 - 68

∠AED = 112

Answer:

zack ran 17 more miles per week than antonio

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) x<5 and x>−1

b)x<-1,x>5

c)x=5,x=-1

For the equation:  

y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Graph of the equation:  

⇒ y = -|x-2| + 3

To Find: Values of x in below cases:

a) -|x-2|+3>0

b) -|x-2|+3<0

c)-|x-2|+3=0

Solution:

a) -|x-2|+3>0

y=-|x-2|+3

⇒  y > 0

Hence, From the graph y > 0 when x ∈ (-1 , 5)

without using graph :

- |x - 2| + 3 > 0

3 > | x - 2|

| x - 2 | < 3

Case 1 : x - 2 > 0

x - 2 < 3

x < 5

Case2 : x - 2 < 0

x - 2 > - 3

x > - 1

b) -|x-2|+3<0

y=-|x-2|+3

 y < 0

From the graph y > 0 when x < - 1 or x > 5

x ∈ R - [-1 , 5]

or, x  ∈ (-∞ , - 1) U ( 5 , ∞)

without using graph :

-|x-2|+3<0

3 < | x - 2|

| x - 2 | > 3

case 1 : x - 2 > 0

x - 2 > 3

x > 5

case 2 : x - 2 < 0

x - 2 < - 3

x < - 1

a) -|x-2|+3=0

y=-|x-2|+3

y = 0

From the graph y = 0 when x = -1 and 5

x  ∈ {-1 , 5}

without using graph :

-|x-2|+3=0

3 = | x - 2|

| x - 2 | =  3

case 1 : x - 2 = 3

x = 5

case 2 : x - 2 = - 3

x =  - 1

Thus, For the equation:  y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

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