Answer:
-30 - 4n
Step-by-step explanation:
-34, -38, -42, -46, -50 ...
the sequence first term is -34
a= -34
Common difference (d) = T2 - T1 = T3 - T2
d = -38- -34 = -42 - - 38 = -38+34
d = -4
Formula for nth term
Tn = a + (n-1)d
Tn = -34 + (n -1)-4
Tn = -34 -4n + 4
Tn = -30 - 4n
= -30 - 4n
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Answer:
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Answer:
21
Step-by-step explanation:
Let x represent the number of dimes and y represent the number of nickels. The total number of coins is 37; this gives us the equation
x+y = 37
Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05. The total amount of money is given by
0.10x+0.05y = 2.65
This gives us the system

To solve this, we will use substitution. We will isolate x in the first equation:
x+y=37
Subtract y from each side:
x+y-y = 37-y
x = 37-y
Substitute this into the second equation:
0.10(37-y)+0.05y = 2.65
Using the distributive property,
0.10(37)-0.10(y)+0.05y = 2.65
3.70-0.10y+0.05y = 2.65
Combining like terms,
3.70-0.05y = 2.65
Subtract 3.70 from each side,
3.70-0.05y-3.70 = 2.65-3.70
-0.05y = -1.05
Divide both sides by -0.05:
-0.05y/-0.05 = -1.05/-0.05
y = 21
There were 21 nickels.
Answer:
Step-by-step explanation:
2* (6' 2") = 12' 4" will be the height of the taller statue.
If 1/3 of a birds eggs hatch and 2 eegs hatch the bird would have to have laid 6 eggs in total.