Answer:
r=.57
Step-by-step explanation:
Answer:
684
Step-by-step explanation:
Using proportions (equivalent ratios), we can find the number of students that make up the 57% out of the total number of people:

Cross-multiply: 100x = (57)(1200) or 100x = 68,400
Divide: 100x/100 = 68,400/100
Solve for x: x = 684 students
Answer:
The number of the cups of uncooked rice is 3 cups
The number of the cups of water is
cups
Step-by-step explanation:
* Let us read the recipe of Nasi Gorang
- 2 cups of uncooked rice need
cups of water to
make
cups of cooked rice
- Joseph needs
cups of cooked rice
- We need to know how many cups of uncooked rice Joshep needs
for this recipe and how much water should be added
* We can solve this problem by using the ratio method
⇒ uncooked cups : water cups : cooked cups
⇒ 2 :
: 
⇒ x : y : 
- By using cross multiplication
∵ x (
) = 2 (
)
∵
= 
∵
= 
∴ x (
) = 2 (
)
∴
x = 13
- Divide both sides by 
∴ x = 3
∴ The number of the cups of uncooked rice is 3 cups
- By using cross multiplication
∵ y (
) = (
)(
)
∵
= 
∵
= 
∵
= 
∴
y = (
)(
)
∴
y =
- Divide both sides by 
∴ y = 
∴ The number of the cups of water is
cups
Answer:
76
2 real solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
- Positive - 2 solutions
- Equal to 0 - 1 solution
- Negative - No solutions/Imaginary
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 6x - 10 = 0
<u>Step 2: Identify Variables</u>
<em>Compare quadratic.</em>
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
<u>Step 3: Find Discriminant</u>
- Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)
- [Discriminant] Evaluate exponents: 36 - 4(1)(-10)
- [Discriminant] Multiply: 36 + 40
- [Discriminant] Add: 76
This tells us that our quadratic has 2 real solutions.
Answer:
y=-1x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1(x-(-1)
y+5=-1(x+1)
y+5=-1x-1
y=-1x-5-1
y=-1x-6