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notka56 [123]
3 years ago
9

Fully answer BOTH questions a and b below.

Mathematics
1 answer:
Setler [38]3 years ago
6 0
A. 540 is 60% of 900 so 900 people were surveyed.
60/100 • x= 540
Multiply both sides by 100
Then divide both sides by 60

B. If you subtract 900-540 your answer will be 360. 360 people preferred running.
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A bee flies 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then fli
AysviL [449]

Remark

You have to do a little subtracting and a little interpreting to get the answer. First you must assume that the bee travels in a straight line. This is math so we can assume this is true, although thousands would disagree.

Second you must assume that because it is loaded with nectar that it travels at a slower rate (not an unreasonable assumption).

Third you have to assume that the distance there is the same distance as coming back. Again this is math. We can make this assumption.

Find the travelling time.

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the travelling time is

16min - 12min = 4 min

Convert the Minutes to seconds.

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds.

Find the time each way.

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same.

r = 6 m/s

r1 = 4 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

6 m/s *t = 4 m/s (240 - t)      Remove the brackets on the right.

6 * t = 4*240 - 4t                  Combine the like terms on the right.

6t = 960 - 4t                         Add 4t to both sides

6t + 4t = 960 - 4t + 4t          Combine

10t = 960                              Divide both sides by 10

10t/10 = 960/10                    Do the division

t = 96                                    Time going to the flower bed

Find the distance

d = ?

r = 6 m/s

t = 96 second

d = r*t

d = 6 * 96 = 576 feet Answer


3 0
2 years ago
Read 2 more answers
F(x) = x<br> Horizontal stretch by a factor of 2<br> Shift left 3 units<br> . Shift up 5 units
WARRIOR [948]

Answer:

f(x) = 0.5(x + 3)^2 + 5.

Step-by-step explanation:

The horizontal stretch is given by multiplying by 1/2 or 0.5:

f(x) = 0.5x^2

Now a shift of 3 to the left  gives f(x) = 0.5(x + 3)^2.

5 units up gives 0.5(x + 3)^2 + 5.

6 0
3 years ago
Akira and a business associate agree to invest in a project estimated to cost $1.8 million (1,800,000). They decide to split the
MariettaO [177]
If it's relationship Akira : Business A. = 7:5 

The part of Akira is 7k

and the part of the Business A. is 5k

Then

7k+5k=12k => 12k=1,800,000 => k= 1,800,00/12=150,000$

Akira part is 7k= 7 * 150,000 = 1,050,000$

Good luck!!!!
8 0
3 years ago
Which scale of measurement is being used if assigning numbers based on different professional affiliation (e.g., counselors, soc
hammer [34]

Answer: The answer is Nominal scale

Step-by-step explanation:

  • <em>Scale of Measurement</em> refer to ways in which variables/numbers/information are categorized

  • <em>Nominal Scale</em> is a measurement scale, in which numbers serve as “tags”, to identify or classify an object. it is usually use for non-quantitative variables. Some examples of variables that use nominal scales are language spoken, sex, the football club you support, profession etc

8 0
3 years ago
Jonah is saving up to purchase a small
wel

Answer:

  $125

Step-by-step explanation:

You can write an equation from the problem statement:

  $80 = 0.64 × (total cost)

This is solved by dividing by 0.64.

  $80/0.64 = $125 = (total cost)

_____

Of course, you know that ...

  64% = 64/100 = 0.64

Both fractions are read as "sixty-four hundredths."

8 0
3 years ago
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