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3 years ago

14

The distance from Redville to Bluetown is 155 mi by ferry. It takes 6 hr less to travel by the same ferry from Bluetown to Gree

nopolis, a distance of 62 mi. What is the average speed of the ferry?

1 answer:

yulyashka [42]3 years ago

5 0

15 miles per hour because you multiply 155 times 6/62 so that x is left alone

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IF THE TRIANGLES IN THE ABOVE FIGURE ARE PROPORTIONAL, WHATS THE LENGTH OF SIDE B?

Tema [17]

<h3>Answer: choice B) 36</h3>

=================================================

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

--------------------

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

--------------------

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

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3 years ago

Which expression is equivalent to (2^3)^-5

Ostrovityanka [42]

Hi!

You didn't list the options, but I think I know the answer. Let me know if my answer isn't listed! :)

$(x^{3} )^{-5}$
We need to multiply the exponents.
3 · -5 = -15

The answer is $2^{-15}$

Hope this helps! :)

3 0

3 years ago

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Describe a rectangular prism using words such as surfaces

vivado [14]

The surfaces are the faces of the prism. The vertices are the points of the prism, where three sides intersect. You can also call them corners. To find the volume, you multiply length and width and height.

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3 years ago

he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu

Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean $(\nu)$ = 5700

standard deviation $(\sigma )$ = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

$P(X > 4000)$ = $P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})$

= $P(Z > - 1.13)$ Using $(Z = \frac{X - \nu }{\sigma })$

= 1 - $P(Z$

= 1 - .1292

= .8708

= 87.08%

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3 years ago

The function f(x) is shown in this graph.

Sladkaya [172]

The function f(x) goes down by two and over by one:
slope = rise/run = -2/1 = -2.

The slope of f(x) is -2, while the slope of g(x) is -6.

Since -2 is a greater number than -6, the answer is:
C) <span>The slope of f(x) is greater than the slope of g(x). </span>

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3 years ago

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