Answer:
greatest number of areas that can be created=5
Step-by-step explanation:
given data
Number of pine trees = 45
Number of oak trees = 30
solution
we want area have same number of both trees
so we get here greatest number of area
we find here greatest common factor of 45 and 30
so Prime factorization of 45 and 30 are
45 = 3 × 3 × 5
30 = 2 × 3 × 5
as here GCF = 5
so here greatest number of areas that can be created=5
Answer:
480 people
Step-by-step explanation:
Set up an equation where x is the number of people surveyed:
180 = (x)(0.375)
Solve for x:
180 = (x)(0.375)
480 = x
So, Annette surveyed 480 people
Answer:
10
Step-by-step explanation:
Answer: b = 17
Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).
The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as
Line QT/line TR = line PT/line TS OR
Line QT/line QR = line PT/line PS.
With these ratios in mind we can now write the following expressions from the similar triangles;
QT = 2b + (2b - 17) and
TR = 16 + 8
TR = 24
Hence,
2b/16 = 2b + (2b - 17)/24
(That is, PT/TS = QT/TR)
2b/16 = (4b - 17)/24
By cross multiplication we now have,
2b(24) = 16(4b - 17)
By expanding the brackets we now have
48b = 64b - 272
By collecting like terms, 64b now moves to the left side of the equation and becomes negative
48b - 64b = -272
-16b = -272
Divide both sides of the equation by -16
b = 17
**Note** A negative number divided by another negative number yields a positive answer.
Answer:
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hope it helps...
have a great day!!
