Ok so we can put this into terms as x. Eli is x. Sarah is 2x. Ashley is x+2x aka 3x. Hazel is 3*2x aka 6x.
Add them all up x+2x+3x+6x=888 aka 12x=888 divide 12 from each side. Gives you x=74
Eli travels 74 miles.
Sara travels 74*2 aka 148
Ashley travels 3*74 aka 222
Hazel travels 74*6 aka 444
Answer: (i) 4x - 40 = 76
(ii) 29 questions
Step-by-step explanation:
Let the total number of questions be x.
Since he received 4 points for every correct answer and he got 10 answers wrong , this means he lost 40 points , the equation thus become
4x - 40 = 76
To find the value of x , add 40 to both sides
4x = 116
divide through by 4
x = 29
Therefore , there are 29 questions on his math test
Use the distance formula and simply substitute in the corresponding orders pairs.
Distance = √(x2 - x1)² + (y2 - y1)²
Distance = √(4 - (-6))² + (3 - (-1))²
Distance = √(4 + 6)² + (3 + 1)²
Distance = √(10)² + (4)²
Distance = √100 + 16
Distance = √116
Distance = 10.7703296143
Round to the nearest hundredth!
Distance ≈ 10.77
FOIL when multiplying two binomials.
First:
√ 3*√ 3= 3
Outer:
√ 3 *2 = 2√3
Inner:
-4*√3= -4√3
Last:
-4*2=-8
Put it together
3+2√3-4√3-8
Simplify
(-2√3)-5
Final answer: (-2√3)-5
35° because it’s the same as the other side
