Answer:
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Step-by-step explanation:
Smallest value of cos α = - 1,
largest value of cos α = 1.
When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5
When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Y=20x+120
y=30x
30x=20x+120
30x-20x=120
10x=120
x=12 days
y=30x
y=30(12)
y=360 minutes
Answer : (13)
Let x be the number of party favors in each (27 boxes)
Let y be the number of favors in last box
Given : total of party favors = 1552
27 boxes + last box = 1552
27x + y = 1552
We divide 1552 by 27, the quotient will be our x and the remainder will be y(number of party favors in last box)
Use long division
= 57 and remainder is 13
the number of party favors in each of (27 boxes) = 57
the number of party favors in last box = 13
So, there are 13 party favors in last box.
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Answer:
50-7=43
Step-by-step explanation:
the guy has $50. He spent $7. Which is $43. So he has $43
Answer:
14 nickels
7 dimes
Step-by-step explanation:
1. find out how many dimes there has to be to get $1.40
1 dime= .10
1.40/.10=14 dimes
14/2=7
so there are 7 dimes
since a nickel is half the amount of a dime there will be twice as many to make up the other half which is $0.70
.70/.05=14
there are 14 nickels
proof:
$0.10(7)+$0.05(14)= $1.40
hope this helps!