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Marta_Voda [28]
4 years ago
13

Brooklyn Bridge is 5,985 ft long and 85 ft wide. What distance is one sixth of its length

Mathematics
1 answer:
I am Lyosha [343]4 years ago
5 0

Answer:

The distance is 997.5 ft.

Step-by-step explanation:

Given:

Length of Brooklyn Bridge = 5,985 ft.

Width of Brooklyn Bridge = 85 ft.

We need to find the Distance

Distance = \frac{1}{6}\times lenght

Substituting the value of length to find distance we get;

Distance = \frac{1}{6}\times 5985 = 997.5 ft.

Hence Distance is 997.5 ft.

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please factor completely !Thank yoy
Vilka [71]
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8 0
3 years ago
What is the rate of change of y with respect to x for this function?​
lilavasa [31]

Answer:

Given the function: y=f(x) = 3x+2

when x=-2 at the beginning of the interval [-2, 5],

then;

y = 3x+2 begins at

y= 3(-2)+2 = -6+2= -4.

and

when x=5 at the end of the interval [-2, 5],

y = 3x+2 ends up at

y= 3(5)+2 = 15+2= 17.

So,

y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21

and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7

So, the average rate of change of y with respect to x over the interval

[-2, 5] is given by ;

=

Therefore, the average rate of change y with respect to x over the interval is, 3

Step-by-step explanation:

4 0
3 years ago
Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,
Helen [10]
<h3>Answer: 3/10 of a shed</h3>

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

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

  • 1/5 = 8/40 .... multiply top and bottom by 8
  • 5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

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

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}

which simplifies or cleans up to

5/x = 25/40

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

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0
3 years ago
A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of th
choli [55]

Answer:

15$

Step-by-step explanation:

this is because if you use our formula of I= prt

we can substitute our varibles for our equation

I= 300 x 0.05 x 1

we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal

after this if we now proceed through our equation we will get

I = 300 x 0.05 x 1

I = 15

6 0
3 years ago
How to solve this. help me ASAP​
juin [17]

Step-by-step explanation:

if they are parallel they must be equal

6 0
3 years ago
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