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scoundrel [369]
3 years ago
13

how many 3.25 oz cups of pudding does it take to fill a 5x5x2.5 hottub? have to show work with answer.

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

  1534 pudding cups

Step-by-step explanation:

The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...

  (5×12 in)×(5×12 in)×(2.5 in) = 9000 in³

The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...

  (9000 in³)/(231/128×3.25 in³) ≈ 1534.47 . . . pudding cups

_____

If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...

  12×1534.47 ≈ 18,413.59 ≈ 18,414 . . . pudding cups

This is because the tub volume is not 9000 in³, but is 12 times that amount, or 108,000 in³.

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3 years ago
Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent ​
SOVA2 [1]

Answer:

x = 7, x = 5

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord.

(1)

27x = 9 × 21 = 189 ( divide both sides by 27 )

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(2)

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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2
jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

(y - y1) = m1(x - x1)

Now, put all values.

(y  + 2) = m1(x - 2)

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

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m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

(y + 2) =  \frac{ - 1}{5} (x - 2)

Simplify them.

5(y + 2) =  - x + 2

5y + 10 =  - x + 2

x + 5y + 8 = 0

Therefore the required equation is x+5y+8= 0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
4 years ago
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Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

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= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

3 0
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