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:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
Answer:
14
Step-by-step explanation:
A triangle with 45 degrees on one corner and 90 degrees on another has 45 degrees on the third corner (180-side1-side2=side3). Therefore that’s an isosceles triangle, which has the same length on the two sides next to the right angle. To get the length of the third side, remember that for any right triangle, the longest side is equal to the square root of :(the first side squared)+(the second side squared). A^2+b^2=c^2 or c=sqrt(a^2+b^2). If you do the math, sqrt((7sqrt2)^2+(7sqrt2)^2)=14. That’s your third side length, x=14.
Answer:
0.125
Step-by-step explanation:
I calculated 2 divided by 16, and got 0.125.
Answer:
I can't see the picture
Step-by-step explanation:
