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mars1129 [50]
3 years ago
7

Trevor made a batch of salad dressing. He used 3 times as much oil as vinegar. If Trevor used 9 tablespoons of oil, how many tab

lespoons of vinegar did he use?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer

3 tablespoons of vinegar

Step-by-step explanation:

First, this question direction's aren't really clear because the question is saying from my perspective:

Trevor used 2 things: Oil and Vinegar.

Then it says he used 3 times as much oil as vinegar

After it says he used 9 tablespoons of oil.

Lastly, the question asks for how many tablespoons of vinegar did he use?

9 Table Spoons of Oil is the Constant Variable or something that doesn't change in the problem

If he used 3 times as much oil then the equation would be

n x 3 = 9

n is representing the vinegar, 3 is representing the "3 times", 9 is the amount of oil Trevor uses.

You would then do 9/3 (9 divided by 3 since we are doing opposite operations to solve for n)  which is equal to 3

In conclusion,

We needed to find the number of tablespoons of vinegar that Trevor used in his salad dressing, we know that 9 tablespoons is representing his oil, we wanted to find a number that is 3 times the tablespoons of vinegar but equalling to 9 since the oil is 3 times the vinegar. So the equation is n x 3 =9

Therefore, n=3 tablespoons of vinegar

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The graph below describes the journey of a train between two cities.
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[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

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[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

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[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

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2 years ago
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