Answer:
Rebecca has 18 nickels and 27 dimes
Step-by-step explanation:
Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.
The total value of Rebecca's coins is $3.60.
1 nickel - 5 cents
x nickels - 5x cents
1 dime - 10 cents
45-x dimes - 10(45-x) cents
Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,
5x+10(45-x)=360
5x+450-10x=360
5x-10x=360-450
-5x=-90
5x=90
x=18
45-x=45-18=27
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer:
50 i believe
Step-by-step explanation:
It is a 3-4-5 right triangle
leg1 := 3x, leg2:=4x, hypotenuse:=5x
given hypotenuse = 75m
=> 5x=75
So, x= 75÷5 = 15
Therefore, leg1 = 3(15) = 45m.
leg2= 4(15) = 60m.
