Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
we have the points (2,14) and (4,28)
Find out the constant of proportionality k
For (2,14) ----> 
For (4,28) ----> 
so
the value of 
therefore
The equation is
We are given :
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
=
=
=
Step 2:
Now we take square root of the factorised form
= 
Answer : (2x-5)
Answer:
Negative karma: You yell at someone for being dumb, but you fail your exam.
Good karma: You give money to the homeless, and then find money on the floor.
Answer: 6.5 feets
Step-by-step explanation:
The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.
In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,
1:16 = x:104
1/16 = x/104
16x = 104
x = 104/16 = 6.5feets
So the length of the model is 6.5 feets
Answer:
Total overripe fruit = 48
Step-by-step explanation:
<em>Step 1: Assume the value of oranges</em>
Let oranges be x
Oranges = x
Apples = 32 + x
Overripe oranges = 3/5 of oranges
= 3x/5
Overripe apples = 1/3 of apples
= 1/3 (32 + x)
<em>Step 2: Find x (oranges)</em>
<em>Number of overripe apples and number or overripe oranges are equal.</em>
3x/5 = 1/3 (32 + x)
3 (3x) = 5(32 + x)
9x = 160 + 5x
4x = 160
x = 40
<em>Step 3: Find the total number of overripe fruit.</em>
Total overripe fruit = Overripe apples + Overripe oranges
Total overripe fruit = 1/3 (32 + x) + 3x/5
Total overripe fruit = 1/3 (32 + 40) + 3(40)/5
Total overripe fruit = 24 + 24
Total overripe fruit = 48
!!
