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jek_recluse [69]
4 years ago
12

Neil has 3 partially full cans of white paint . They contain 1/3 gallon , 1/5 gallon and 1/2 gallon of paint. About how many pai

nt does Neil have in all
Mathematics
2 answers:
morpeh [17]4 years ago
8 0

Answer:

31/30 of a gallon

Step-by-step explanation:

finding the lowest common denominator for all three numbers. so 1/3 becomes 10/30, 1/5 becomes 6/30, and 1/2 becomes 15/30. 10/30+6/30+15/30=31/30

stepan [7]4 years ago
4 0

Answer:

About 1 gallon. (32/30)

Step-by-step explanation:

First get a LCM (least common multiple) for 3, 5, and 2.

Now we have 30. Make 30 the denominator for all.

10/30

15/30

7/30

Then add them all up to get 32/30.

About 1 gallon.

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Factoring trinomials 3x^3-24x^2+45x​
yarga [219]

Answer:

Option B: 3x(x - 3)(x - 5)

Step-by-step explanation:

The given polynomial is: 3x³ - 24x² + 45x

To factorize it: 3x³ - 24x² + 45x

Since, 3x is common through out we can take it out.

⇒               3x(x² - 8x + 15)

Now we have to factorize (x² - 8x + 15)

The roots of this quadratic equation is: 5, 3.

Therefore, x² - 8x + 15 = (x - 3)(x - 5)

Combining them, the factors of the polynomial would be:

(B)                                     3x(x - 3)(x - 5)

5 0
3 years ago
A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5
boyakko [2]

Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

 T = \frac{15}{f}

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

Wavelength = \frac{L}{10}

λ(air) = \frac{L}{10}

λ(glass) = λ(air) / n

             = \frac{\frac{L}{10}}{1.5}

             = \frac{L}{10} * \frac{1}{1.5}

             = \frac{L}{15}

V(glass) = fλ(glass)

              = f * \frac{L}{15}

          T = \frac{L}{V_{glass}} = \frac{15}{f}

     

7 0
3 years ago
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
Lubov Fominskaja [6]
Do you need to graph it?

3 0
3 years ago
A man flies a kite at a height of 15 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Misha Larkins [42]

Answer:

4.4 ft/s

Step-by-step explanation:

Height = 15ft

Rate= 5 ft/s

Distance from the man to the kite= 32ft

dh/dt = 5 ft/s

h = √32^2 - 15^2

h = √ 1025 - 225

h = √800

h = 28.28ft

D = √15^2 + h^2

dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt

= h(225 + h^2)^-1/2 dh/dt

= (h / √225 + h^2)5

= (28.28 / √225 + 28.28^2)5

= (28.28 / √1024.7584)5

= (28.28/32)5

= 0.88*5

= 4.4 ft/s

3 0
4 years ago
Write an equation in slope-intercept form for the line that passes through the
Pavlova-9 [17]
Make slope intercept
3x - y = 5
3x = y + 5
y = 3x - 5
Parallel = same slope
Slope = 3
Y = 3x + b
Plug in the point
-2 = 3(-1) + b
-2 = -3 + b, b = 1

Solution: y = 3x + 1
6 0
3 years ago
Read 2 more answers
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