Answer:
C
Step-by-step explanation:
Answer with Step-by-step explanation:
(3.a) GCD(343,550), LCM(343, 550).
343=7×7×7
550=5×5×2×11
GCD(343,550)=1
LCM(343,550)=7×7×7×5×5×2×11=188650
(3.b) GCD(89, 110), LCM(89, 110).
89=1×89
110=5×2×11
GCD(89, 110)=1
LCM(89, 110)=89×5×2×11=9790
(3.c) GCD(870, 222), LCM(870, 222).
870=2×3×5×29
222=2×3×37
GCD(870, 222)=2×3=6
LCM(870, 222)=2×3×5×29×37=32190
If y=6 then y2 equals 36 because 6 times 6 is 36 and 36+1.5 is 37.5
Answer:
B) 4,608.
Step-by-step explanation:
A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).
The volume of the pyramid:
V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³
Answer:
The maximum volume of the pyramid is 4,608 cm³.
Answer:
- x+y≤80; x≥8; y≥5
- see attached for a graph
- Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
Step-by-step explanation:
1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.
x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated
x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based
y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based
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2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.
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3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.