Answer:
x = 3
Explanation:
15x + 5 + 22x + 4 + 60 = 180
37x + 69 = 180
37x = 111
x = 3
You are 5,987. 5 in the thousands place because you are a number in the 5,000s, and also the smallest 2 digit number divided 2 makes 5. 9 in the hundreds place because the biggest 1 digit number is 9. 8 in the tens place because the only single digit number that is a multiple of 4, but not 4, is 8. 7 in the ones place because 9 is the hundreds place, minus 2 is 7.
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3(x - 2) + 8 = 2(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- (Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
- Combine like terms: 3x + 2 = 2x + 10
- {Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
- [Subtraction Property of Equality] Subtract 2 on both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) + 8 = 2(8 + 5)
- (Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
- Multiply: 18 + 8 = 26
- Add: 26 = 26
Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
Answer:
The length of the longer base he 35 units
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base
b is the longer base
h is the height
Let the shorter base be x
The other base is 5 times this length and that makes 5 * x = 5x
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441
3x(6x) = 882
18x^2 = 882
x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units
Answer:
Your answer is A,B,AND D
Step-by-step explanation: