Answer:
Step-by-step explanation:
r=-144/216=-2/3
6 yards = 216 inches
make a proportion and cross multiply:
3/216 = 2/x
*cross multiply*
3x = 216(2)
x = 144 inches or 4 yards
Hello!
so we have a total weight of 5.1kg and we are told that each penny weighs 2.5g.
so we need to convert either one to the same units first. we know there are 1000g in 1kg so 2.5g=0.0025kg now we have both in the units of kg, so we can just take 5.1kg/0.0025kg=2040 pennies in the bag.
we can check ourselves here by taking 2040 * 2.5g and we get 5100grams which equals 5.1kg
hope this helps. any questions please just ask. thank you kindly
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
