Equations:
m = k + 5
k = s + 2
m + k + s = 30
-----------------------
Substitute for "m" and for "s"::
k+5 + k + k-2 = 30
3k +3 = 30
3k = 27
Kirsty has 9 marbles
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Mina has 9+5 = 14 marbles
Seb has 9-2 = 7 marbles
Answer:
25
Step-by-step explanation:
Given that:
Initial payment done for buying the phone = $50
Charges per month for the phone = $25 per month
To find:
The equation to represent the situation and its slope.
Solution:
First of all, let us assume that
represents the number of months for which monthly is to be made.
Charges paid for one month = $25
Charges paid for
months = $25
Total cost of the phone = Initial payment + Charges paid for
months

It is a linear equation between two variables
and
.
This equation can be compared with slope intercept form of a line.
Slope intercept form of a line is represented by:

is the slope.
On Comparing, we get:

Therefore, the slope is <em>25</em>.
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

(4x-3y)^2(4x-3y)
=(16x^2-24xy+9y^2)(4x-3y)
=64x^3-96x^2y+36xy^2-48x^2y+72xy^2-27y^3
=64x^2-144x^2y+108xy^2-27y^3