Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23



To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get


Denominators are same, now add the fractions.

Do cross multiplication.




Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
Answer:
The players ran 150 meters
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:
90² + 120² = c²
8100 + 14400 = c²
c² = 22500
√c² = √22500
c = 150
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
D) us Americans as men or women really don't get that much recondition. therfore if they can reach it easily, why would the get represented. imagine like the willy wonka and the charlie factory they only had 5 tickets in the whole world. if the whole world had them it wouldn't be as exselirating.