Answer:
x = -2
Step-by-step explanation:
Since we know they will have the same output, we can set them equal to each other in an equation. We'll use x to represent the input.
3x + 6 = 8(x + 2) (Given)
3x + 6 = 8x + 16 (Distributed the 8)
6 = 5x + 16 (Subtracted 3x on both sides)
-10 = 5x (Subtracted 16 on both sides)
-2 = x (Divided 5 on both sides)
We have to calculate the radius
Radius: Distance between the points (8,2) and (3,7)
Given two points (x₁,y₁) and (x₂,y₂) the distance between these points will be:
Distance=√((x₂-x₁)²+(y₂-y₁)²)
In this case:
Distance=radius=√((3-8)²+(7-2)²)=√(25+25)=√50
Area of a circle=πr²
Data:
r=√50
Therefore:
Area of this circle=π((√50) u)²=50π u²≈157.1 u².
Answer: the area would be: 50π u² or 157.08 u²
Answer:
The cyclist will have traveled 72 kilometers with-in 3 hours.
Step-by-step explanation:
1 mile (s) = 1.60934 kilometer(s)
15 miles = 24.1402// 24 kilometers
by 3 hours:
45 miles = 72/72.4205 kilometers
9514 1404 393
Answer:
3. $6000 at 8%; $5000 at 5%
4. 66 2/3 gallons of 9%; 133 1/3 gallons of 6%
Step-by-step explanation:
For many mixture problems, it works well to let a variable represent the amount of the largest contributor used in the mix.
3. Let x represent the amount invested at 8%. Then the total interest is ...
8%x +5%(11000-x) = 730
3%x = 730 -550
x = 180/0.03 = 6000
$6000 was invested at 8%; $5000 was invested at 5%.
__
4. Let x represent the number of gallons of 9% content. Then the alcohol content of the mix is ...
9%x +6%(200 -x) = 7%(200)
3%x = 1%(200) . . . . . subtract 6%(200)
x = 200/3 = 66 2/3 . . . . . divide by 3%
200 -x = 133 1/3
66 2/3 gallons of 9% wine and 133 1/3 gallons of 6% wine should be used.
Answer:
9.74 i believe
Step-by-step explanation:
9.74 blades of grass
