The area of the rect. is 100 ft times 64 ft, or 6400 ft^2.
Let's list factors of 6400: 64,100
64= 2^6
100= 2^2*5^2
Here we see that 2 appears 8 times as a factor, and 5 appears 2 times:
6400 = 2^6 * 10^2 = 2^8*5^2
The answer is all real numbers for x
because simplifying, you get both sides are equal
Answer:
11/13
Step-by-step explanation:
4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)
This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13
Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
Answer:
24
Step-by-step explanation:
9+6(2+3/6)
9+6(2+1/2)
2+1/2 = 2.5
9+6(2.5)
9+15
24