Answer:
or 26.19%
Step-by-step explanation:
If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Therefore, the probability that the number formed is a prime would be which if we divide and multiply the decimal by 100 we get the probability in percentage form.
= 0.2619
0.2619 * 100 = 26.19%
Finally, we can see that the probability of this happening is 26.19%
ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT
Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>
TS = QT
6x + 13 = 5y
6x - 5y = -13 <span><em>(second equation)</em>
</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2
Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5
Answer:
x = -2
y = -5
Answer: 300 is the answer
Step-by-step explanation:
Answer:
54m2
Step-by-step explanation:
Cut the shape into two - from the 9m length. One has 3m by 8m(ie 5m + 3m) dimensions, and the other 6m(ie 9m - 3m) by 5m dimensions.
Taking area of first one=24m2,then area of the second =30m2.
To get area of whole shape, we add both areas=54m2
NB:Area=l×b
2x + b = w
2x = w - b
x = (w - b)/2
