Find the next term in the sequence 1.9,4.9,7.9,10.9,13.9
1 answer:
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Answer:
The green dots in this picture would be where the points go:
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Answer:
Speed of Chris Huber = 30.726 m/s
Time taken by Sam = 5.55 s
Step-by-step explanation:
Given:
Distance = 200 m
Time taken by Chris Huber = 6.509 s
Now,
Speed of Chris Huber =
or
Speed of Chris Huber =
or
Speed of Chris Huber = 30.726 m/s
Speed of Sam = Speed of Chris Huber + 19.0 km/h
Now,
1 km/hr = 0.277778 m/s
thus,
19.0 km/h = 19.0 × 0.27 = 5.278 m/s
thus,
Speed of Sam = 30.726 + 5.278 = 36.004 m/s
therefore,
Time taken by Sam =
or
Time taken by Sam = = 5.55 s