Which fraction is equivalent to 1/6

1/3
2/8
3/24
4/24​

Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches,  the area is 260.1 inches.

Step-by-step explanation:

25.5/5=5.1

5.1*2=10.2

The width is 10.2 inches

25.5*2+10.2*2=71.4

The perimeter is 71.4 inches

20.5*10.2=260.1

The area is 260.1

1) The width of the rectangle is 10.2 in.

2) The perimeter of the rectangle is 71.4 in.

3) The area of the rectangle is 260.1 sq.in.

[tex]P=2\times(l+w)[/tex]

where, 'l' is the length of the rectangle

'w' is the width of the rectangle

[tex]A=l\times w[/tex]

For given example,

The sides of a rectangle are in the ratio 2:5

The longer side of the rectangle is 25.5 in.

This means the length of the rectangle is [tex]l=25.5~in.[/tex]

Let 'x' represents the width of the rectangle.

⇒ [tex]\frac{2}{5} =\frac{x}{25.5}[/tex]

⇒ 2 × 25.5 = 5 × 'x'

⇒ 51 = 5x

⇒ x = 51/5

⇒ x = 10.2 in.

This means the width of the rectangle is 10.2 in.

⇒ [tex]l=25.5~in,~w=10.2~in.[/tex]

Using the formula of perimeter of the rectangle,

⇒ P = 2 × (25.5 + 10.2)

⇒ P = 2 × 35.7

⇒ P = 71.4 in.

Using the formula of area of the rectangle,

⇒ A = 10.2 × 25.5

⇒ A = 260.1 sq. in.

Therefore, the width of the rectangle is 10.2 in.

The perimeter of the rectangle is 71.4 in.

The area of the rectangle is 260.1 sq.in.

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Answer:

11/8 and 21/16

Step-by-step explanation:

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

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hope it helps

=3/4 × 1/2 + 3/4

=3/8 + 3/4

=9/8

2nd questions ans

=1×1/2 + 3/4

=1/2 + 3/4

=5/4

Answer:

Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!

Answer:

24p

Step-by-step explanation:

I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.

Hope this helped!

Answer:

(1)

[tex]a = \frac{3\sqrt 3}{2}[/tex]

[tex]b = \frac{3}{2}[/tex]

(2)

[tex]a = \sqrt 6[/tex]

[tex]b = \sqrt 2[/tex]

Step-by-step explanation:

Solving (1):

Considering

[tex]\theta = 60^o[/tex]

We have:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(60^o) = \frac{a}{3}[/tex]

Solve for a

[tex]a = 3 * \sin(60^o)[/tex]

[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]

So:

[tex]a = 3 * \frac{\sqrt 3}{2}[/tex]

[tex]a = \frac{3\sqrt 3}{2}[/tex]

To solve for b, we make use of Pythagoras theorem

[tex]3^2 = a^2 + b^2[/tex]

This gives

[tex]3^2 = (\frac{3\sqrt 3}{2})^2 + b^2[/tex]

[tex]9 = \frac{9*3}{4} + b^2[/tex]

[tex]9 = \frac{27}{4} + b^2[/tex]

Collect like terms

[tex]b^2 = 9 - \frac{27}{4}[/tex]

Take LCM and solve

[tex]b^2 = \frac{36 - 27}{4}[/tex]

[tex]b^2 = \frac{9}{4}[/tex]

Take square roots

[tex]b = \frac{3}{2}[/tex]

Solving (2):

Considering

[tex]\theta = 60^o[/tex]

We have:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(60^o) = \frac{a}{2\sqrt 2}[/tex]

Solve for a

[tex]a = 2\sqrt 2 * \sin(60^o)[/tex]

[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]

So:

[tex]a = 2\sqrt 2 * \frac{\sqrt 3}{2}[/tex]

[tex]a = \sqrt 2 * \sqrt 3[/tex]

[tex]a = \sqrt 6[/tex]

To solve for b, we make use of Pythagoras theorem

[tex](2\sqrt 2)^2 = a^2 + b^2[/tex]

This gives

[tex](2\sqrt 2)^2 = (\sqrt 6)^2 + b^2[/tex]

[tex]8 = 6 + b^2[/tex]

Collect like terms

[tex]b^2 = 8 - 6[/tex]

[tex]b^2 = 2[/tex]

Take square roots

[tex]b = \sqrt 2[/tex]

Answer:

V≈3619.11cm³

Step-by-step explanation:

Answer:

3619.11 cm³

Step-by-step explanation:

V = πr²h

π · 12² · 8

3619.11 cm³

Answer:

Unless I'm misunderstanding it should be 100% or 1/1  because something that is 100% likely to happen will always happen.

Step-by-step explanation:

If there is anything else that may change my understanding of this please send it otherwise I hope this helps.

The value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

If event A is certain to occur.

As we know,

From the definition of probability, the ratio of the number of favorable outcomes to the total number of outcomes

The value of the probability lies between 0 to 1 or [0, 1]

If the probability of any event is 0 that means that event cannot happen.

If the probability of any event is 1 that means that event is certain to occur.

Event A is certain to occure.

P(A) = 1

Thus, the value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.

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Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

Answer:

too difficult 99%(95%) fraction and decimal of 26.5 and (-36)

Answer:

He gets 630 dollars a week so the answer is D.

Answer:

Step-by-step explanation:

8 cm

Answer:

of the students who live more than one mile

away, about 76% ride a bike.

Step-by-step explanation:

Answer:

whats this? can you provide more context?

Step-by-step explanation:

Answer:

Use geogebra it is a helpful website that helps you plot points, and find where things go. The second one is c. y=25x.

Step-by-step explanation:

Answer: You get to keep 1,673.24

You pay 272.38 in taxes.

Step-by-step explanation:

The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.

Answer:

[tex]x = 4.8[/tex]

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{3.6}{x} [/tex]

[tex]3x = 14.4[/tex]

[tex]x = 4.8[/tex]

Answer:

-3 and -8

Step-by-step explanation:

Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.

If a+b=-11, a=-11-b.

ab=-24

(-11-b)b=-24

b²+11b+24=0

(b+3)(b+8)=0

b=-3, b=-8

a=-11-b=-11+3=-8

a=-11-b=-11+8=-3

So the numbers are -3 and -8

Answer:

6/5

Step-by-step explanation:

For this you need to clear the formula for the area which is bxh/2=A, now you need to clear the base and the formula would be b=Ax2/h, and would be (9/20)x2/ 3/4 equal to 18/20 / 3/4 and gives the result of 72/60,now you need to simplify and the simplest form is 6/5

The base of the triangle with area of 9 / 20 centimetres squared and height of 3 / 4 centimetres is 6 / 5 centimetres.

area of a triangle = 1 / 2 bh

where

Therefore,

area = 9 / 20 cm²

height = h = 3 / 4 cm

b = ?

Hence.

area of the triangle = 1 / 2 bh

9 / 20 = 1 / 2 × 3 / 4 × b

9 / 20 = 3 / 8 b

cross multiply

9 × 8 = 20 × 3b

72 = 60b

b = 72 / 60

b = 12 / 10 = 6 / 5

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Answer:

The answer is in the picture I couldn't type it sorry.

Step-by-step explanation:

Answer:

The average salary  of the Diamondbacks players  does not differ from that of all players in the National League.

Step-by-step explanation:

1) Formulate null and alternate hypothesis

H0: u1= u2 Ha: u1 ≠ u2

The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League

against the claim

that the average salary of the Diamondbacks players differ from that of all players in the National League

The data given is

x1`= $2,308,488,  s1=  $3,427,508   and  n1 = 27

x2`=  $2,585,804,      s2=$3,500,708   and n2 = 27

2) The test statistic is

z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)

Putting the values

z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)

z= -0.294

3) The significance level is 0.05

The critical region is Z  =±1.96

4) Since the calculated value of z=  -0.294 is less than the z ∝=±1.96 we  do not reject H0.

5) the P-value can be calculated using the calculator.

The p-value is p = 0.7687

The average salary  of the Diamondbacks players  does not differ from that of all players in the National League.

Answer:

Surface area of figure = 200.52 meter²

Step-by-step explanation:

Given:

Side of square cut = 12 meter

Diameter of semi circle = 12 meter

Find:

Surface area of figure

Computation:

Diameter of semi circle = 12 meter

Radius of semi circle = Diameter of semi circle / 2

Radius of semi circle = 12 / 2

Radius of semi circle = 6 meter

Surface area of figure = Surface area of square + Surface of cylinder

Surface area of figure = [Side x Side] + πr²/2

Surface area of figure = [12 x 12] + (3.14)(6)²/2

Surface area of figure = [144] + (3.14)(36)/2

Surface area of figure = 144 + 56.52

Surface area of figure = 200.52 meter²

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

9514 1404 393Answer:

Step-by-step explanation:

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

  c +10w = 19

  2c +15w = 31

Subtracting the second equation from twice the first, we get ...

  2(c +10w) -(2c +15w) = 2(19) -31

  5w = 7

  w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

  c + 10(1.40) = 19

  c = 5 . . . . . . . . . . . subtract 14

A class picture costs $5; a wallet-size picture costs $1.40.

Let x be the amount invested at 10%;

SO we have;

.10x=amount invested at 10%

(4000-x).12=amount invested at 12%

So our equation would be;

.10x+(4000-x).12=460

Distribute the 12%;

.10x+480-.12x=460

Put like terms together so you can see them better;

.10x-.12x+480=460

-.02x+480=460;

subtract 480 from both sides;

-.02x=-20

Multiply each side by -.02;

x=1000

Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;

$4000-$1000=$3000

Hope you understand

=)

Answer:

G. 25%

Step-by-step explanation:

given : The price of a video game was reduced from $60 to $45 .

$60 - $45 = $15

then, the percentage was the price of the video game reduced :-

reduction in price/previous price x 100 = 15/60 x 100 = 25%

the percentage was the price of the video game reduced = 25%

Answer:

53 1/3 cups

Step-by-step explanation:

if there are 80 glasses and each glass has 2/3 of juice in it, there will be 53 1/3 cups in total because 80 x 2/3 = 53 1/3