Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Answer:
5x^2 + 20x = 5x(x + 4)
Step-by-step explanation:
Here, we want to factorize;
5x^2 + 20x
To do this, we start by writing the common factors
The common actor that we can see which is in the form of the gcf of both is 5x
Thus, the factorization will be;
5x^2 + 20x = 5x( x + 4)
I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?
Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, <em>x. </em>That year, that price of x increased by 20% more than it was before, or <em>120% times the original value</em>. Because of that, it's now $150.
We can equation this.
1.20x = 150
x = 150/1.2
x = 125
The bike, I believe, cost $125 last year. Hope this helps!
Nico shot more baskets.
Molly shot 5 baskets per minute.
20/4=5
Nico shot 7 baskets per minute.
42/6=7
She would have to pay $30.53
24x.6=1.44
24+1.44=25.44
25.44/.2=5.088
25.44+5.09 (you had to round it up because it's money)
Which equals 30.53
I hoped this helped :)
