Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
The answer si:
- 16 servings - 6 oz of salmon
- 24 servings - 9 oz of salmon
- 80 servings - 30 oz of salmon
- 100 servings - 37.5 oz of salmon
1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.
Now, let's made some proportions:
16 servings:
3 oz is for 8 servings, how much oz is for 16 servings:
3 : 8 = x : 16
x = 3 · 16 ÷ 8 = 6 oz
24 servings:
3 oz is for 8 servings, how much oz is for 24 servings:
3 : 8 = x : 24
x = 3 · 24 ÷ 8 = 9 oz
80 servings:
3 oz is for 8 servings, how much oz is for 80 servings:
3 : 8 = x : 80
x = 3 · 80 ÷ 8 = 30 oz
100 servings:
3 oz is for 8 servings, how much oz is for 100 servings:
3 : 8 = x : 100
x = 3 · 100 ÷ 8 = 37.5 oz
<h3><u>x > -4 is the solution to this inequality.</u></h3>
30 > -6(2x + 3)
Distributive property.
30 > -12x - 18
Add 18 to both sides.
48 > -12x
Divide both sides by -12.
(Because we're dividing by a negative, the inequality sign flips.)
<h3><u>4- < x</u></h3>
Answer: 2/x+4x^2
Step-by-step explanation:
Do distrubitive property.
SO mutiply 2/5 to 5/x which is 10/5x or 2/x
then 2/5 times 10x^2
10*2/5=20/5 or 4
Done.
Have a nice day! :)
Answer:
-14n^4 + 7n^2 + 8n + 7
Step-by-step explanation:
( 8n - 3n^4 + 10n^2 ) - ( 3n^2 + 11n^4 - 7)
8n - 3n^4 + 10n^2 - 3n^2 - 11n^4 + 7
- 14n^4 + 7n^2 + 8n + 7
