Answer:
8.63 square units
Step-by-step explanation:
you must set up a proportion.
3 x
- = -
8 23
after you set up that proportion, cross multiply to find x.
8x = 69
divide by 8
x = 8.625, rounded to 8.63
Answer:
C) The solution for the given system of equations are A(0,-5) and B(-4,3)
Step-by-step explanation:
The given system of equation are : 
from equation 2, we get y = -5 - 2x .
Put the above value of y in the equation (1).
We get: 
By ALGEBRAIC IDENTITY:

or, 
or, 
⇒ x = 0 or, x = -20/5 = -4
So, the possible values for x are: x = 0 or x = -4
If x = 0, y = -5-2x = -5-2(0) = -5
and if x = -4, y = -5 -2(-4) = -5 + 8 = 3
Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)
A=17 cm
you would need to find the volume of the shape! (:
Answer:
The length of the actual train's car is <u>67.5 feet.</u>
Step-by-step explanation:
Given:
The scale of a model train is 1 inch to 13.5 ft.
Now, to get the length of the actual car of the train.
Let the length of actual train's car be 
And, the length of the car of model train = 
<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>
<em>Thus, 5 inches is equivalent to </em>
<em />
Now, to get the length of actual train's car using cross multiplication method:

By cross multiplying we get:

Therefore, the length of the actual train's car is 67.5 feet.
Answer:
4 × ( 9 + 2z)
Step-by-step explanation:
36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor
= 4 × ( 9 + 2z)
we can also write it like this
36 + 8z = 2 × ( 18 + 4z)