Answer:
1) 4
2) y <= 9
3) NO SOLUTION
4) 24
5) 5 cards
Step-by-step explanation:
1st pic) 2x + 7 = 15
2x + 7 = 15
<u> -7 -7</u>
2x = 8
divide by 2 to isolate x
<u>x = 4</u>
2nd pic) y - 3 <= 6
y - 3 <= 6
<u> +3 +3</u>
<u>y <= 9</u>
<u />
3rd pic) x + 0.5 = x + 6
x + 0.5 = x + 6
<u> -0.5 -0.5</u>
x = x + 5.5
NO SOLUTION
4th pic) 5m + 10 <= 130
5m + 10 <= 130
<u> -10 -10</u>
5m <= 120
divide by 5 to isolate the m
<u>m <= 24</u>
5th pic) 2c - 8 > 0
2c - 8 > 0
<u> +8 +8</u>
2c > 8
divide by 2 to isolate the c
<u>c > 4</u>
Answer:
65 ft (which is A)
Step-by-step explanation:
A² + B² = C²
72² + B² = 97²
B² = 4225
B = √4225
B = 65 ft
The better deal would be the Mini-Cans. If you want to find the value for each of them you first have to decide one value you want them to be in. I chose milliliters. Each liter is equal to 1,000 milliliters. For the liter drinks it means that there is 2,000 milliliters combined. From then you can find the value for each. If you wish to find out the value per milliliter you can simply divide it by 4. The number you get is what each is equal to which is .65. For the next drinks it's the same steps so it would be .852. The best option, the mini cans, is .44. They are the cheapest by around 21 cents less than the liter drinks.
Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
Let the number of years after 2001 be x, then
1280000 + 19500x = 1700000
19500x = 1700000 - 1280000 = 420,000
x = 420000/19500 = 22 years.
x = 22 years.
