In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?

Answers

Answer 1

Answer: 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

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Direct Linear Variation, anyone?

Answers

All answers are correct

Similar situation as you have before, let's starts from the easiest one which is D

2y = x

solve for y and you have y =x/2 which will show you on graph straight line

3/4y = 6x

multiply by 4/3
y = [(6*4)/3]x
y=(24/3)x
y=8x

also straight line :)

y=2/5x-2/5 is same as y=0.4x-0.4 also will result as straight line graph :)

___ fl oz = 2.75 cups3.25 gal = ___ quarts
7.9 meters = ___ centimeters
___ ml = 4.85 L
___ pt = 16.5 quarts
___ oz = 4.5 pounds

Answers

22 fl oz
13 quarts
790 centimeters
4850 milliliters
33 pints
72 ounces.

Help mehhhhhhhhhhhhhhhhhhhhhhhj

Answers

What topic/lesson is this supposed to be?

5 becuase its the only standard in it

The volume of a rectangular prism is 336 cubic centimeters. The area of the base of the prism is 48 square centimeters. What is the height of the prism?

Answers

The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.

How to find the volume and base area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units,

then:

$v = (l * w * h)/(3) \: \rm unit^3$ is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

$b = l * w\: \rm unit^2$

The volume of a rectangular prism is 336 cubic centimeters.

$v = (l * w * h)/(3) \: \rm unit^3$

3 x 336 = lwh

lwh = 1008

The area of the base of the prism is 48 square centimeters.

48 x h = 1008

h = 21

Learn more about the right rectangular prism here:

brainly.com/question/27234847

#SPJ2

Answer:

Step-by-step explanation:

Claude spends $315 to rent a car. The car he rents costs $45 per day. He has a coupon for 2 free days. Complete the equation below to find the number of days Claude rents the car. Use d to represent the number of days.