Answer:
25
Step-by-step explanation:
When dividing by fractions, you can multiply by the opposite reciprocal.
5 ÷ 1/5
5 x 5/1
25
Answer:
9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
3(y + 2)² + 3x
x = 2
y = -1
<u>Step 2: Evaluate</u>
- Substitute: 3(-1 + 2)² + 3(2)
- Add: 3(1)² + 3(2)
- Exponents: 3(1) + 3(2)
- Multiply: 3 + 6
- Add: 9
The length is 24 centimeters and the width is 10 centimeters and the height is 13 centimeters
Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
We find the length of AD using the similarity of right triangle property. See image attached.
AD² = BD × CD
AD² = 9 × 36
AD² = 324
AD² = 18²
AD = 18
The length of AD is 18 units
