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Helen [10]
3 years ago
6

Kathryn is cooking pancakes. The recipe calls for 3 2/9 cups of flour. She accidentally put in 5 4/5 cups. how many extra cups d

id she put in?
Mathematics
2 answers:
atroni [7]3 years ago
4 0
Subtract
29/5 - 29/9
261/45 - 145/45
116/45
Daniel [21]3 years ago
4 0

Answer

So basically you need to subtract 5 4/5 - 3 2/9

then you do all this:

= (5-3) + (4/5 - 2/9)

= 2+ 4x9/5x9 - 2x5/9x5

= 2 + 36/45 - 10/45

= 2 + 36/45 - 10/45

= 2 + 26/45

= 2 26/45

So then the answer is 2 26/45

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The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredth
cluponka [151]
26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches
8 0
3 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
3 years ago
Can you find the area please?
lilavasa [31]

Answer:

44

Step-by-step explanation:

you do 5x7  35 and 6x3 then divided by 2 is 9 and you add them up and you get 44.

Alternate solution. 5x3 divded 2 =7.5 plus 6x3 divided by 2 = 9 plus 7x ? = 27.5!

4 0
3 years ago
Read 2 more answers
Given f (x) = 3x - 5 find f (x - 2)
antiseptic1488 [7]

Answer:

3x-11

Step-by-step explanation:

f (x) = 3x - 5

f(x-2)

Replace x in the function with x-2

f (x-2) = 3(x-2) - 5

           =3x-6 -5

           =3x-11

3 0
2 years ago
• How do you summarize data in a two-way frequency table?
anygoal [31]
Recognized the possibility
7 0
3 years ago
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