Answer:
4x^2 + 21x - 18
Step-by-step explanation:
(9x^2+24x-8)-(5x^2+3x+10)
9x^2+24x-8-5x^2-3x-10
9x^2 - 5x^2 = 4x^2
24x - 3x = 21x
-8 - 10 = -18
Answer: 4x^2 + 21x - 18

2) 5.625 mg will be left
Explanation:
1) Half-life = 17.5 days
initial amount of Arsenic-74 = 90 mg
To get the equation, we will use the equation of half-life:


2) we need to find the remaining amount of Arsenic-74 after 70 days
t = 70

So after 70 days, 5.625 mg will be left
Answer:
Length = 8 feet
Step-by-step explanation:
Perimeter = 2 x ( length + width )
20 = 2 x (length + 2)
10 = Length + 2
10 - 2 = Length
Therefore, Length = 8 feet
Given:
grapes = 2 1/2 pounds
apples = 1 1/4 times as many pounds as grapes.
For easier computation, let us convert these fractions into numbers with decimal places.
2 1/2 pounds = 2.50 pounds
1 1/4 times = 1.25
Apples = 2.50 pounds * 1.25 = 3.125 pounds of apples.
Or we still use fractions. We need to convert the mixed fractions into improper fractions.
2 1/2 = 5/2
1 1/4 = 5/4
5/2 * 5/4 = 5*5 / 2*4 = 25/8 is simplified to 3 1/8 pounds
Down payment is 20% of the price of the home. Since the couple saved $35,000, and assuming they will pay the whole money as down payment, the highest priced home they can get is a price whose 20% is $35,000.
We can setup an equation in x (being the price of home) to get the price of the most expensive home they can buy.
<em>Which number (x) , multiplied by 20%, is equal to $35,000?</em>
<em>
</em>
So, the most expensive house they can buy is worth $175,000.
ANSWER: $175,000