Alright, lets get started.
Sophie has 5 pieces of string that are 4 yards each.
1 yards = 3 feet,
So, 4 yards = 
feet
Total number of string she has = 5 piece
So, total length she has = 
feet
It means she had 60 feet string in starting.
Now, She uses 3 pieces that are each 3 feet long, means
She uses = 
feet
So, remaining string length will be = 
feet
Means 51 feet string does Sophie have. : Answer
Hope it will help :)
Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
__
8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
The quotient of the synthetic division is x^3 + 3x^2 + 4
<h3>How to determine the quotient?</h3>
The bottom row of synthetic division given as:
1 3 0 4 0
The last digit represents the remainder, while the other represents the quotient.
So, we have:
Quotient = 1 3 0 4
Introduce the variables
Quotient = 1x^3 + 3x^2 + 0x + 4
Evaluate
Quotient = x^3 + 3x^2 + 4
Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4
Read more about synthetic division at:
brainly.com/question/18788426
#SPJ1
Answer: 2,000 milliliters.
Step-by-step explanation:
Hi, to answer this question we have to add the amount of water and the amount of sports drink that he drank:
1 liter + 1 liter = 2 liters of liquid.
Finally, we have to convert the result into milliliters.
Since 1 liter = 1000 liters
We have to multiply the liters drank by 1000.
2 x 1000 = 2,000 milliliters.
Feel free to ask for more if needed or if you did not understand something.
