What is 3/4 x 2/3?


Pls help!!!!!!

Answer:

The length and width of the rectangular garden are 20 feet and 10 feet.

Step-by-step explanation:

Given that the length of fencing = 60 feet

The area of the garden = 200 sq. feet.

As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.

Let l and b be the length and width of the rectangular garden.

So, the perimeter of the garden = 2(l+b)=60

[tex]\Rightarrow l+b=60/2=30[/tex]

[tex]\Rightarrow l=30-b\cdots(i)[/tex]

The area of the rectangular garden [tex]= l\times b=200[/tex]

[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]

[tex]\Rightarrow 30b-b^2=200[/tex]

[tex]\Rightarrow b^2-30b+200=0[/tex]

[tex]\Rightarrow b^2-10b-20b+200=0[/tex]

[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]

[tex]\Rightarrow (b-20)(b-10)=0[/tex]

[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]

[tex]\Rightarrow b= 20\;or\; 10[/tex]

Now, from equation (i),

If b=20 than l= 30-20=10

or if b=10 than l=30-10=20.

Hence, the length and width of the rectangular garden are 20 feet and 10 feet.

Answer:

addition, subtraction, division, multiply

Answer:

√33

Step-by-step explanation:

In the image .

The expression (6 + √3) (6 - √3) / √33 upon  rationalizing the denominator gives √33.

Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.

The given expression is (6 + √3) (6 - √3) / √33

We have the identity,

(a + b) (a - b) = a² - b²

∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33

                                     = (36 - 3) / √33

                                     = 33 /√33

Multiplying numerator and denominator by √33,

(6 + √3) (6 - √3) / 33 = (33 × √33)  / (√33 × √33)

                                   = 33√33 / 33

                                   = √33

Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.

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Answer:

Maybe 99£

Step-by-step explanation:

Please give me brainliest

Answer:

i think 99 because theres no number after the symbol

Step-by-step explanation:

Area of a circle is pi x r^2

R is the radius which is have the diameter: r = 10/2 = 5

Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.

A semi circle is half a full circle

Area of the semi circle = 78.5/2 = 39.25 square units.

Answer:

Step-by-step explanation:

Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63

Number of shells found this summer: 63

Number of shells found fewer this year than last year: 152 - 63 = 89

Hence, Jon’s family found 63 fewer shells than last year

Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

Let x be the number of shells they find this year than last year.

The value of x can be found as follows:

x = 152 - 7×9

x = 152 - 63

x = 89 shells

Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

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Answer:

1.8inches or 1.83in repeating.

Step-by-step explanation:

divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).      

Answer:

4 days

Step-by-step explanation:

because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4

Answer:

b  is the correct answer

thank you.............................

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

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Answer:

(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps

Answer:

answer choices?

Step-by-step explanation:

Answer:

my answer is incorrect

Step-by-step explanation:

Since the two shapes are similar, you can answer this question with a proportion.

[tex]\frac{12}{200} = \frac{15}{area} \\12area = 200*15\\area = \frac{200*15}{12} = 250[/tex]

Another way you could solve it is to find the percentage growth of the height of the area.

[tex]\frac{15-12}{12} = \frac{3}{12} = 25[/tex] percent growth.

We can multiply the area of A by 1.25 to find the area of B

[tex]200*1.25 = 250[/tex]

edit: I was incorrect, it is not linear.

It would be [tex]200*(1.25)^2[/tex]

Answer:

Step-by-step explanation:

12²=200cm²

15²=??

(15²×200)÷12²

=312.5

Answer:

y=2x-1

Step-by-step explanation:

y-9=2x-10

y=2x -10+9

y=2x-1

Answer:

Step-by-step explanation:

Jim will save $14.20

To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form

Comes to .20.

The end result is $14.20.

Step-by-step explanation:

Rope = 225 cm

Needed rope = 11/2m = (11/2) × 100 cm = 550cm

So, rope needed to be cut

= 550cm - 225cm

= 225cm

=225/100m

=2.25 m

Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

Add the ratios together: 5 + 3 = 8

Divide total students by 8:

32 / 8 = 4

Multiply each ratio by 4 to find the number of each:

Boys = 4 x 5 = 20

Girls = 3 x 4 = 12

There are 20 boys.

Answer:

0.094

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

True!!

Answer:

99<x<315

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

edg. 2021

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

Answer:

W=5 w=8

Step-by-step explanation:

Answer:

A.) -5

Step-by-step explanation:

Slope Formula --->     [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       m = slope

[tex]m = \frac{2 - (-3)}{-2 - (-1)}[/tex]

Eliminate negatives:

[tex]m = \frac{2 + 3}{ -2 + 1}[/tex]

Solve:

[tex]m = \frac{5}{-1}[/tex]

Simplify:

[tex]m = -5[/tex]

Answer: a + b = 40

[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]

because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]

=> a = 51

    b = -11

=> a + b = 51 -11 =40

Step-by-step explanation:

Answer:

[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]

a = 51

b= -11

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

[tex]y = 3x-3\\ x+y = 5 [/tex]

Substituting the value of y from first equation in the second equation, we get:

[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]

Thus, putting this value of x in first equation, we get:

[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

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Answer:

johnns height 4cm to Robin's height

The ratio of John's height to Robin's height is 20:19.

To find the ratio of John's height to Robin's height, we need to convert their heights to the same unit of measurement. Let's convert Robin's height from centimeters to meters:

Robin's height = 156 cm = 156/100 m = 1.56 m

Now that both heights are in meters, we can calculate the ratio:

John's height: Robin's height = 1.6 m : 1.56 m

To simplify the ratio, we can divide both heights by the same value:

1.6 m : 1.56 m = (1.6/0.08) m : (1.56/0.08) m = 20 : 19

Therefore, the ratio of John's height to Robin's height is 20:19.

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Answer:

1/3, 3/5, 5/6 is the correct order from least to greatest.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -2, f(a) = 0 [/tex]

[tex] b = 0, f(b) = 4 [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 0}{0 -(-2)} [/tex]

[tex] = \frac{4}{2} = 2 [/tex]

Average rate of change from x = -2 to x = 0 is 2.

Answer:

y=-3x+6

Step-by-step explanation:

Answer:

y = -3x + 6

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

SO

m = -3

b = 6

Thus,

y = -3x + 6