12 = 3/4 * x
12 ÷ 3/4 = x
12 * 4/3 = x
48/3 = x
16 = x
Answer: The whole set is 16 counters
Answer:
287 miles
Step-by-step explanation:
The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.
We can represent the amount he will pay for rent with the equation below:
C = 17.99 + 0.76m
where m = number of miles driven
Jim paid $236.11, therefore:
236.11 = 17.99 + 0.76m
0.76m = 236.11 - 17.99
0.76m =218.12
m = 218.12 / 0.76 = 287 miles
Jim drove 287 miles.
9514 1404 393
Answer:
17 square units
Step-by-step explanation:
There are several ways you can divide this figure into areas that are easily computed.
One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...
A = (1/2)bh
A = (1/2)(6)(8) = 24 . . . . square units
The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.
Then the area of the shaded part is ...
A = 24 - 7 = 17 . . . . square units
<h2>
Greetings!</h2>
Answer:
3⋅(5⋅x)
5⋅(x⋅3)
15x
Step-by-step explanation:
As the values are inside the brackets, it does not matter what side the (x3) is on, so 3⋅(5⋅x) is equivalent.
Multiplying the contents of the brackets in the third one (x * 3) by 5 gives the same value as 3 * (x * 5) so 5⋅(x⋅3) is also equivalent.
On multiplying the brackets out:
5 * x = 5x
5x * 3 = 15x
So 15x is also equivalent.
<h2>Hope this helps!</h2>
Answer:
Step-by-step explanation:
From the graph, the x-intercepts are;
These are root of the polynomial function represented by the given graph.
By the remainder theorem;
According to the factor theorem, if 
is a factor of 
, then 
This implies that;
are factors of the required function.
Hence; 
We expand using difference of two squares to obtain;
We expand using the distributive property to get;
Rewrite in standard form to obtain;
