Answer = 0.5
hope this helps
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 
So, the longer part is 
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:

<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:

<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.
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>
Answer:
see the explanation
Step-by-step explanation:
we have
<em>Felicia</em>

Apply distributive property


Combine like terms

Let
a ----> the missing term with coefficient x in Gregory's expression
b ----> the missing constant term in Gregory's expression
so

equate Gregory's expression to Felicia's expression

so
----->
------> 
so
Gregory's expression is

therefore
The missing terms are 2 and -x
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