Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
__
Usually written as 11y+z.
Answer:
$750
Step-by-step explanation:
We can set up the equation 30x + 50y = z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.
After plugging in the x and y values to solve for z, we are left with the following equation:
30(15) + 50(6) = 750
ANSWER

EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of

The last term of this sequence is -229.
The nth term of this sequence is given by:

We use the last term to determine the number of terms in the sequence.



Divide through by -8;


Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:

The sum of the first 30 terms is given by:



Answer:
20.25 m²
Step-by-step explanation:
the area (A) and circumference (C) of a circle are calculated using the formulae
C = 2πr and A = πr² ( where r is the radius )
calculate the radius using the formula for circumference
2πr = 9π ( divide both sides by 2π )
r =
=
= 4.5, hence
A = π × 4.5² = 20.25π m²