Answer:
5 shirts and 4 pairs of shorts
Step-by-step explanation:
160-1 set (12+25=37)=123
123-1 set=86
86-37=49
49-37=12
12-1 t-shirt=0
For volume of a prism, the general rule is multiply the area of the base by the area of the height. For example, for a triangular prism, the volume would be (1/2)b*h*a if you set a = height of the prism and h = height of the triangle from the formula (1/2)bh, which is the area of a triangle.
Answer:
f(1)=2
Step-by-step explanation:
f(x) is 2 for all x in [-4,1]. Hence 2 is the answer
(# of five dollar bills=f ; # of ten dollar bills=t)
3t-1=f ⇒ this means that if there were 1 $5 bills, there would be 2 $10 bills.
So the ratio of $5 bills to $10 bills is 1 to 2.
We can plug that into another equation:
f+t=410 ⇒ I havent actually learned this in school yet so I just made a chart: $10 ║ $5
------║------
2 ║ 1 = $25
4 ║ 2 = $50
6 ║ 3 = $75
8 ║ 4 = $100
10 ║ 5 = $125
and so on...
you probably found the pattern already, so you can conclude that [cathy deposited 16 five dollar bills and 33 ten dollar bills]
Also, you should probably check if there are any mistakes when going through this since I took almost an hour writing this.
Answer: 7(x+2)(x+3)
Step-by-step explanation:
First, you want to find the GCF, 7 goes into all the terms evenly
so 7x^2 + 35x + 42 = 7(x^2 + 5 + 6)
to factor (x^2+5+6), you want to find two numbers whose product is 6 and whose sum is 5 (2 and 3)
so (x^2 + 5 + 6) becomes (x+2)(x+3)
and 7(x^2 + 5 + 6) becomes 7(x+2)(x+3)