Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Step-by-step explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16
Answer:
53.5
Explanation:
Since triangle AOB is an isosceles triangle (AO = OB), the base angles of the triangle are 53.5. (180-73 = 107, 107/2 = 53.5)
Answer:
7y² - y + 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4y - y(3 - 7y) + 5 + 2(8 - y)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2y
- Combine like terms (y): 7y² - y + 5 + 16
- Combine like terms: 7y² - y + 21
Answer: 276 grams.
Step-by-step explanation:
Answer:
what grade math is this?
Step-by-step explanation:
