In a rhombus, the sides are 14 inches long. two intersecting sides form a 60 degree angle. what are the exact lengths of the two
1 answer:
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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
All you need to do is add the miles from Eaton to Baxter and from Baxter to Wellington to get your answer...
42 + 37 = 79
Now we need to add the fractions
To add we need a common denominator.
2 and 5 can both go into 10, so that will be a our common denominator.
Now you have...
which is equal to
add that to the 79 we got earlier ...
The toal and final answer is
miles !
Hope I helped and remember to vote this as the brainliest answer ! :)
42 + 37 = 79
Now we need to add the fractions
To add we need a common denominator.
2 and 5 can both go into 10, so that will be a our common denominator.
Now you have...
which is equal to
add that to the 79 we got earlier ...
The toal and final answer is
Hope I helped and remember to vote this as the brainliest answer ! :)