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Thepotemich [5.8K]
2 years ago
6

Write the ratio as a fraction in simplest form. 9 ft to 6 yd

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

9/6

Step-by-step explanation:

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worty [1.4K]
Answer = 0.5
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2 years ago
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A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e
Pachacha [2.7K]

Answer:

The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.

Step-by-step explanation:

Given:

A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.

Now, to find the length of each part of the stick.

Let the shorter part be x.

So, the longer part is x+20.

Total length of the stick = 70 cm.

Now, to get the length of each part we solve an equation:

(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.

<em>The length of the shorter part is 25 cm.</em>

Now, substituting the value of x:

x+20\\\\=25+20\\\\=45\ cm.

<em>The length of longer part is 45 cm.</em>

Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.

6 0
3 years ago
Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation t
masya89 [10]

Answer:

k = 2

x = 2y

Step-by-step explanation:

If variables x and y vary directly, this is expressed as;

x ∝ y

x = ky

k is the proportionality constant

Let's assume the value of x and y since we are not given;

x = 20

y = 10

Substitute

20 = k(10)

10k = 20

k = 20/10

k = 2

Hence the constant of proportionality is 2

Substitute i=k = 2 into the equation x = ky

x = 2y

Hence an equation that relates x and y is x = 2y

<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

4 0
3 years ago
Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an
densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

<em>Felicia</em>

-5(3x+2)+10x

Apply distributive property

-5(3x)-5(2)+10x

-15x-10+10x

Combine like terms

-5x-10

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant  term in Gregory's expression

so

-12-4x+ax+b

equate Gregory's expression to Felicia's expression

-12-4x+ax+b=-5x-10

so

-12+b=-10 ----->b=2

-4x+ax=-5x ------> a=-1

so

Gregory's expression is

-12-4x+2-x

therefore

The missing terms are 2 and -x

7 0
2 years ago
Find the value of x and y
slava [35]

Answer:

Step-by-step explanation:

OS ≅ OU, so we will set those 2 expressions equal to each other and solve for y:

6y = 42 so

y = 7

Same goes for OT and OV:

x + 5 = 23 so

x = 18 and

SU = 84

5 0
3 years ago
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