Answer:
It might be 168 centimetres
Step-by-step explanation:
584 is the total number of students in the school.
5/8 are in seventh grade and 3/8 are in eighth grade.
4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.
7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.
So, all together, there were
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.
Let's simplify as you asked:
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)
= [20/40 + 21/64] · 584 (multiply fractions)
= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)
= (32/64 + 21/64) 584 (getting a common denominator)
= (53/64) 584 (combine/add the two fractions)
= 483.625 (multiply together)
All together, there were: 483.625 students in the meet.
Answer: £ 400,560,640
Step-by-step explanation:
Given
Delia, Edwin, and Freya share £1600 in the ratio 
Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.
The sum of their shares must be £1600
Their share is
Delia:
Edwin:
Freya:
Answer:
Segment B C and Segment P N
Step-by-step explanation:
we know that
Line segments are congruent if they have the same length
In this problem
we have
Segment L.M ≅ Segment F.A
Segment M.N ≅ Segment A.B
Segment P.N ≅ Segment B.C
Segment P.J ≅ Segment C.D
Segment J.K ≅ Segment E.D
Segment K.K ≅ Segment F.E
therefore
The answer is
Segment B C and Segment P N
Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
