The ratio 60:40 in its simplest form is?

Mathematics

1 answer:

Tom [10]2 years ago

4 0

Answer:

3:2

Step-by-step explanation:

$60 : 40 / 10\\6:4/2\\3:2$

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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?

Kitty [74]

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

5 0

3 years ago

827 divided by 1120

KiRa [710]

It can be the last one, 827 over 1120

Hope that helps

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME ASAP<br><br>I don't understand this

Pachacha [2.7K]

Answer:

18 times 15 times 9 = 2430 cubed inches

Step-by-step explanation:

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2 years ago

Blake purchased a new car in 1990 for \$15,200$15,200. The value of the car has been depreciating exponentially at a constant ra

Sav [38]

Answer:

MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

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4 0

3 years ago

Help me with this please

Nostrana [21]

Check out the image attachment for one way to draw this problem out. Notice how angles AEC and DEB are vertical angles, so that means they are congruent angles

(measure of angle AEC) = (measure of angle DEB)
6x + 20 = 10x
6x + 20-6x = 10x-6x ... subtract 6x from both sides
20 = 4x
4x = 20
4x/4 = 20/4 ... divide both sides by 4
x = 5

The value of x is 5.

Let's check the answer
6x + 20 = 10x
6*5 + 20 = 10*5 ... replace every x with 5
30+20 = 50
50 = 50
We have confirmed the answer.

8 0

3 years ago