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s2008m [1.1K]
3 years ago
7

A boat can travel 81 miles on 9

Mathematics
2 answers:
Andrej [43]3 years ago
7 0

Answer:

46

Step-by-step explanation:

81 divided by 9 is 9. Therefore it takes 9 miles a gallon. Divide 414 by 9 to get 46 gallons for 414 miles

mafiozo [28]3 years ago
5 0

Answer:

46

Step-by-step explanation:

because 81 divided by 9 equals 9 so 414 divided by 9 equals 46.

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Complemetary angles are two angles whose measures add up to 90 degrees. The ratio of the measures of two complementary angles is
pochemuha

Let A and B be the two complementary angles.

A = smaller angle = 2x

B = larger angle = 13x

x = some unknown number

Note how the ratio A:B turns into 2x:13x which simplifies to 2:13

A+B = 90 ... because the angles are complementary

2x+13x = 90 ... substitution

15x = 90

x = 90/15

x = 6

A = 2*x = 2*6 = 12 degrees

B = 13*x = 13*6 = 78 degrees

The two angles are 12 degrees and 78 degrees.

Check:

A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13

A+B = 12+78 = 90

3 0
3 years ago
A random number generator is used to select a number from 1 to 100 what is the probability of selecting number 151
topjm [15]
0.

It is impossible for 151 to be selected, as it is outside the range of numbers (1 to 100) that can be selected. Therefore the probability is 0.
4 0
4 years ago
Two less than 3/2 of a number (x) is more than 5 1/2
djverab [1.8K]
<h2>Answer:   (3/2)x - 2</h2>

Step-by-step explanation:

Let the number be x.

"Two less than 3/2 of a number (x)"   means    (3/2)x - 2

"is no more than"  means     "≤"

  5 1/2

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4 0
4 years ago
Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> x2 - 3 ln y + y2 = 10
Veseljchak [2.6K]

Answer:

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Step-by-step explanation:

We are given that

x^2-3lny+y^2=0

Differentiate w.r.t x

2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0

By using formula

\frac{dx^n}{dx}=nx^{n-1}

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}

\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0

\frac{dy}{dx}(-\frac{3}{y}+2y)=-2x

\frac{dy}{dx}=-\frac{2x}{-\frac{3}{y}+2y}

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Hence, the derivative of function

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

8 0
3 years ago
What is the amount of material required to creat a Toblerone box? The triangular base is equilateral.
Lubov Fominskaja [6]

Answer:

21 x 3.1 / 2 = 32.55

Step-by-step explanation:

8 0
3 years ago
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