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AleksandrR [38]
3 years ago
11

A cruise ship is traveling at a speed of 20 knots. A knot is approximately equaled to 1.151 miles per hour. What is the approxim

ate speed the ship is traveling in yards per second? Please help
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0
Multiply 20 and 1.151, then there are more steps but are you sure its yards as units ?
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Which expressionism equivalent to -60 / 5 select all that apply 60 divided by negitive 5 60 times 1/5 60 times negitive 1/5 Negi
GaryK [48]

Answer:

Equivalent expressions

A) \frac{60}{-5}

C)  60\times (-\frac{1}{5})

Step-by-step explanation:

Given expression :

\frac{-60}{5}

Choices given :

A) \frac{60}{-5}

B) 60\times \frac{1}{5}

C)  60\times (-\frac{1}{5})

D) -60\times (-\frac{1}{5})

To find the equivalent expression.

We will first evaluate the given expression.

\frac{-60}{5}

⇒ -12    [Quotient of a negative dividend and a positive divisor is always negative]

Evaluating each choice to select the equivalents.

A) \frac{60}{-5}

⇒ -12    [Quotient of a positive dividend and a negative divisor is always negative]

B) 60\times \frac{1}{5}

⇒ \frac{60}{5}

⇒ 12

C)  60\times (-\frac{1}{5})

⇒ -\frac{60}{5}   [Product of a positive and a negative is always a negative]

⇒ -12

D) -60\times (-\frac{1}{5})

⇒ \frac{60}{5}   [Product of two negatives is always a positive]

⇒ 12

∴ We see that the choices A and C are equivalent.

7 0
3 years ago
Help? Fraction? Triangle similarity.<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B62%7D%7B15.5%7D%20x%20%20%5Cfrac%7B92%7D%7Bx%
Over [174]
62 / 15.5  = 92 /  x

to find x cross multiply:-

62x = 15.5 * 92
x =  (15.5*92) / 62
  = 23
8 0
3 years ago
Estimating Areas and Areas of Circles
umka21 [38]

Answer:

1)84 yd

2)63 in

3)7853.98 mm (round as you want)

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Step-by-step explanation:

3 0
2 years ago
Graph the line with slope 1/2 passing through the point (5, - 1)
True [87]

Answer:

<u><em>The equation is y = (1/2)x + - 3.5</em></u>

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1).  We need a value of b that will move the line to include this point.  Do that by substituting the values:

 x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 =   b

<u><em>The equation is y = (1/2)x + - 3.5</em></u>

See the attached image.

7 0
9 months ago
Prove that: 5^31–5^29 is divisible by 100.
ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

5^{31}-5^{29}

First, factor it:

5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}

Note that

100=25\cdot 4

Then

5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}

This shows that number 100 is a factor of the expression 5^{31}-5^{29} and, therefore, this expression is divisible by 100.

5 0
3 years ago
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