Answer:
D. $67.50
Step-by-step explanation:
A ticket costs $5.25, a drink costs $2.00, and a popcorn costs 4.00. Each person in the group buys all of these. So we know that each person is paying:
4.00 + 2.00 + 5.25 = 11.25
Since there are 6 people in the group we can multiply that by 6:
11.25 * 6 = 67.50
Answer:
x^8
Step-by-step explanation:
So find the difference between 1995 and 2022 to make it easier
2022-1995=27
so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48
Hazel was 48 and Gary was 23 in the year of 1995
Answer:
Step-by-step explanation:
According to the diagram MK is the angle bisector of ∠LMJ in the triangle LMJ.
Use angle bisector theorem, which states:
- <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>
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Applied to the given triangle, the ratios are:
Use segment addition postulate and substitute known values to get:
- (LJ - JK)/JK = LM/JM
- (14 - JK)/JK = 50/48
- 50JK = 48(14 - JK)
- 50JK = 672 - 48JK
- 50JK + 48JK = 672
- 98JK = 672
- JK = 672/98
- JK = 6.86 (rounded)
Answer:
15 sides
Step-by-step explanation:
360/24 =15
Hope this helps!
