Answer: 9 and 15
Explanation: For this problem we will be using the formula of the perimeter of the parallelogram and use algebraic equation to solve it.
"The perimeter of a parallelogram is 48cm"
-So we already know the perimeter of this polygon
-We don't know the other sides
-We know both sides are on a ratio of 3/5
-We know the formula for perimeter of a parallelogram is P=2(a+b)
Let's use the formula to solve this. First lets substitute values we know.
1.) Write the formula.
P=2(a+b)
2.) Replace any known values.
48=2(a+b)
3.) This part is the trick part. Since the sides of the parallelogram are on a ratio of 3:5, it means that the first side is 3 times more of any unknown value, while the second side will be 5 times more of that same value. knowing this we can turn this into an Algebraic equation.
48=2(a+b)
48=2(3x+5x)
4.) Solve.
48=2(3x+5x)
48=2(8x)
48=16x
48/16=16x/16
3=x; or x=3
5.) Now that we know our "unknown value", we can though it back into the ration to figure out the sides lengths.
First side length = 3x = 3(3) = 9
Second side length = 5x = 5(3) = 15
6). Therefore, the first side has the length of 9 and the second side has the length of 15.
7.) Check.
P=2(a+b)
P=2(9+15)
p=2(24)
p=48
48=48
Answer:
10 pairs
Step-by-step explanation:
If he sells all 72 bagels for $2 you would multiply 72x2=144
if he buys socks for $6 a pair, you'd divide 144/6
He could buy 24 pairs of socks but there are only 14 players on the team.
So, he gives 14 of the 24 pairs to the team 24-14=10
He will have 10 extra pairs.
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
The generated emf when it is running as a generator= 238.16V
The generated emf as a motor taking 60A= 236.12V
<h3>Calculation of Electromotive force (emf)</h3>
The Resistance of the machine= 0.102
The connected voltage = 230V
The formula for emf; E= V +IR
The generated emf when it is running as a generator,
= 230 + (80*0.102)
= 230 + 8.16
= 238.16V
The generated emf as a motor taking 60A;
= 230 + (60 * 0.102)
= 230 + 6.12
= 236.12V
Learn more about resistance here:
brainly.com/question/25997303
#SPJ1
Answer:
![x=22\frac{1}{2}=22.5](https://tex.z-dn.net/?f=x%3D22%5Cfrac%7B1%7D%7B2%7D%3D22.5)
Step-by-step explanation:
![x-9=\frac{3}{5}x](https://tex.z-dn.net/?f=x-9%3D%5Cfrac%7B3%7D%7B5%7Dx)
- First, lets get rid of the fraction. I did this by multiplying both sides by
.
![5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x](https://tex.z-dn.net/?f=5%28x-9%29%3D5%28%5Cfrac%7B3%7D%7B5%7Dx%29%5C%5C5x-45%3D%5Cfrac%7B5%7D%7B1%7D%20%2A%5Cfrac%7B3%7D%7B5%7Dx%5C%5C5x-45%3D%5Cfrac%7B15%7D%7B5%7Dx%5C%5C5x-45%3D3x)
- We want to isolate
on one side of this equation. Let's put any values with
on one side of the equation, and normal integers on the other.
![2x=45](https://tex.z-dn.net/?f=2x%3D45)
- Divide both sides by
.
![x=\frac{45}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B45%7D%7B2%7D)
- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:
![x=22\frac{1}{2}=22.5](https://tex.z-dn.net/?f=x%3D22%5Cfrac%7B1%7D%7B2%7D%3D22.5)