Answer:
50 mph, 450 mi, 73.3 ft/sec
Step-by-step explanation:
Part 1:
Find the unit rate (which here is mph).
175 mi
------------- = 50 mph
3.5 hrs
Part 2:
In 8.5 hrs, the Andersons can expect to cover (50 mph)(8.5 hr) = 425 mi
Part 3:
50 mph 88 ft/sec
------------ * ----------------- = 73.33 ft/sec, or 73.3 ft/sec to the nearest tenth.
1 60 mph
Answer:
x=45
Step-by-step explanation:
2(2x+30)+2(x+15)=360
4x+60+2x+30=360
6x+90=360
6x=360-90
6x=270
x=45
Answer:
1.5625
Step-by-step explanation:
2½ = 5/2
(5/2)² = 25/4
25/4 = 6.25
0.5² = 0.25
6.25 x 0.25 = 1.5625
Answer:
they sold 210 hot chocolates and 85 coffees
Step-by-step explanation:
We know that they sold $200 worth of drinks
x will be the number of hot chocolates sold
y will be the number of coffees sold
This means that
.75x+.5y=200
We also know that they sold 295 total drinks which means that
x+y=295
This is a system of linear equations which I will solve through substitution
x+y=295
Subtract y from both sides and divide by -1 to get
-x+295=y
Plug y into the first equation and get
.75x+.5(-x+295)=200
Distribute the .5 and simplify to get
.75x-.5x+147.5
.25x+147.5=200
Subtract 147.5 and then divide by .25 to get our x value
x=210
Now we can go back and plug this in into our equation
210+y=295
Subtract 210 to get y
y=85
This means that they sold 210 hot chocolates and 85 coffees
43 red beads
We can set up an equation to represent this problem if we substitute 'w' for the number of white beads:
6w+1+w=50
7w+1=50
7w=49
w=7
There are 7 white beads and we can multiply the number of white beads times six and add 1 to get the number of red beads.