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
I supposed you mean add the equation h + 3 to 6h + 1?
6h + 1 + h + 3 = 7h + 4
But if you mean subtract the equation h + 3 from 6h + 1
6h + 1 - (h + 3) = 6h + 1 - h - 3 = 5h - 2
Answer:
<em>3042in³</em>
Step-by-step explanation:
Volume of the square prism = Base area * Height
Since the base is a square;
Base area = s²
s is the side length of the square
Given s= 13 inches,
Base area = 13²
Base area = 169in²
If he wants the height 6 inches longer than the width and the length, then the height will be:
Height = 13 + 6 = 18 inches
Get the volume
Volume of the square prism = 169in² * 18in
<em>Volume of the square prism = 3042in³</em>
Answer:
t = 25.1seconds
Step-by-step explanation:
X(t)= 16cos75°t
Y(t)= 6 + (Vosin75°t - 16t^2)
Converting 78 yards to feet :
1 yard = 3 feet
78feet =?
78×3=234 feet
Y(t)= number of feet above the ground at t seconds
VoCos75° t = 234
t = 234/(VoCos75°)
At this time,4 = y(234/VoCos75°)
4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2
Vo= 140.66ft/s
Time,t= 234/(140.66× Cos75°)
t = 25.087seconds
t= 25.1 seconds (1 decimal place)