Answer:
7/40
Step-by-step explanation:
Since 1 ounce is 1/20 of 20 ounces, she needs to use 1/20 of 3 1/2 cups.
1/20 * 3 1/2 = 1/20 * 7/2 = 7/40
<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)
Answer:
x=24
<6=79°
Step-by-step explanation:
We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle. This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7. Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees
Write an equation for each rental place to calculate total cost:
Kayak World = 12.50h + 10
Boat Land = 15h + 5
Now set both equations equal to each other and solve for h:
12.50h + 10 = 15h +5
Subtract 5 from each side:
12.50 + 5 = 15h
Subtract 12.50h from both sides:
5 = 2.50h
Divide both sides by 2.50:
h = 5 / 2.5
h = 2
The cost will be the same for 2 hours.