There are about 28 grams in an ounce so 45/28 is about 1.5
Answer:
Each cupcake was $2.75
Step-by-step explanation:
We subtract the price of the ice cream from the total bill $22.26-$5.76=$16.50
We know he only bought the ice cream and cupcakes so once we subtracted the price of the ice cream, we now have the price of the cupcakes all together only
We divide the price of all the cupcakes by the amount of cupcakes to get the price of each individual cupcake $16.50/6=$2.75
15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
Answer:
-11x-4 is the answer if the expression to simplify is (-7x+1)-(4x+5).
Step-by-step explanation:
We are first going to distribute to get rid of the ( ):
-7x+1-4x-5
Pair up like terms:
-7x-4x+1-5
Combine the like terms:
-11x-4
The nth term of any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth term, a=initial term, r=common ratio, n=term number...
We can easily see that the first term, a=-8
The common ratio is 4/-8=-2/4=1/-2=r=-1/2 so the rule is:
a(n)=-8(-1/2)^(n-1) so the tenth term is:
a(10)=-8(-1/2)^(10-1)
a(10)=-8(-1/2)^9
a(10)=1/64
