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
Answer:
Yes, she is correct.
Step-by-step explanation:
y = kx is direct variation
15 = k*-3
k = -5.
So the equation of variation is
y = -5x
When x = -4:
y -5*-4 = 20.
75/30= 2 with a remainder of 15
Divide 75 by 30 to get 2
Multiply the quotient digit (2) by the divisor 30
subtract 60 from 75
the solution for long division of 75/ 30 is 2 remainder of 15
convert it to mixed number
2 15/30
Subtract 1
Hope this helps! ;)
Answer: 36x-30
6 times 6x is 36x and 6 times -5 is -30
Answer: Approximately 96 square feet
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Work Shown:
1 ft = 30 cm
1 ft = (5*6) cm
1 ft = 5*(6 cm)
1 ft = 5*(1 board width)
1 ft = 5 board widths
12*(1 ft) = 12*(5 board widths)
12 ft = 60 board widths
12 ft = 1 full wall length
The wall is 12 feet horizontally across and 8 feet tall, so its estimated area is 12*8 = 96 square feet approximately. This is approximate because of the fact we used the approximation of 1 ft = 30 cm.
