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Contact [7]
3 years ago
15

The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over

4 ? Two rectangles of the same size are drawn side by side touching each other. The first rectangle is divided into 8 portions of equal size. Three of these are shaded. The shaded portion alone is labeled as 3 over 8. The second rectangle is divided into 4 portions of equal size. One portion is shaded. The shaded portion alone is labeled 1 over 4.
Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

You can see from the diagram that the shaded 1/4 of the second rectangle has the same dimensions as 2 of the 3 shaded parts of the first rectangle.

  2/3 of 3/8 is in 1/4

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The ratio of sixth graders to seventh graders at the school dance is 2 to 3.
Inessa [10]

Answer:

18

Step-by-step explanation:

2:3 x 9

18:27

18 + 27 = 45

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What is the multiplicative inverse of 1/2
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   Multiplicative inverse of 1/2 = 2/1 = 2


Thus, the multiplicative inverse of 1/2 is 2.

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PLEASE HELP GUYS i am struggling so much, two questions
ankoles [38]

Answer: the equation of the standard parabola

1) (y-6)^2 = 4 (x-1)

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

<u>Explanation </u>

<u>Parabola:-</u>

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

  • The locus of P such that \frac{SP}{PM} = constant
  • The fixed point  'S' is called the Focus.
  • The fixed line'l 'is called the directrix of the conic
  • The constant ratio is known as the eccentricity, denoted by 'e'
  • If e=1 , the conic is called a parabola

1) <u> Step 1</u> :-

Given the focus   S = (2,6) and directrix is x=0

we know that \frac{SP}{PM}=1

now cross multiplication , we get

SP = PM

squaring on both sides,we get

SP^{2} = PM^2

step 2:-

now using distance formula is

  • \sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)

Given S =(2,6) and P(x,y) be any point on parabola

SP^2 = (x-2)^2+(y-6)^2........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

  • \frac{ax_{1}+by_{1}+c   }{\sqrt{a^2+b^2} }

Given the directrix is x =0 and P(x,y) be any point on parabola

PM^2 = \frac{x^2}{\sqrt{1}^2 }......(2)

equating equation(1) and equation (2), on simplification

we get (x-2)^2+(y-6)^2 = x^2.....(3)

  • apply (a-b)^2 = a^2+  b^2+2 ab

now the equation (3) is

(y-6)^2 = 4 x-4

now the standard form of parabola is

(y-k)^2 = 4 a(x-h)

<u>Final answer</u>:-

(y-6)^2 = 4 (x-1)

2) <u> Explanation:-</u>

<u>step 1:</u>

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

  • Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

(x-h)^2 = 4 a (y-k)

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of AS = \sqrt{(-5-(-5)^2+(2-6)^2}

 on simplification we get a =4

<u>Final answe</u>r :-

the vertex (h,k) = (-5,2) and a=4

(x-h)^2 = 4 a (y-k)

The standard parabola is (x+5)^2 = 16 (y-2)

5 0
3 years ago
#5 please! Need help
butalik [34]

Answer:

Step-by-step explanation:

Distance = Speed x Time and you need speed so the equation is

D divided by T = S

Cutwright   35 laps divided by 84 min .... 42mph

Evans   42 laps divided by 96.6 min ... 43 mph

Loza 38 laps divided by 102.6 min ... 37 mph

Evans went slightly faster than Cutwright

3 0
3 years ago
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