Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
Answer:
About 90.73 meters/min.
Step-by-step explanation:
Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.
First, we will convert feet to meters, using that 1 ft = .4048 m.
32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.
Second, we convert seconds to minutes, using that 60 sec = 1 min.
9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.
Let the number of orders Eric served be x
Eric = x
Mai = x+ 8 [Mai served 8 more than Eric]
Dean = 3x [Dean served 3 times as many as Eric]
Given that the total is 103
x + x + 8 + 3x = 103
5x + 8 = 103
5x = 103 - 8
5x = 95
x = 19
x = 19
x + 8 = 19 + 8 = 27
3x = 19 x 3 = 57
Eric served 19
Mai served 27
Dean served 57
So the equations are:
y= 3x + 3
y= x- 1
By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)
so, x- 1= 3x + 3. Now we isolate x and solve:
+1 +1
x= 3x+ 4
-x -x
0 = 2x+ 4
-4 -4
-4 = 2x
/2 /2
x= -2
Now, you can plug that back in to find y:
y = x- 1
y= -2 -1
y= -3
Then plug them both in to make sure it is correct. :o)
It can arouse a feeling of pride and happiness.
