Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<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>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Make a drawing of the situation:
Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:

Use the inverse tangent function to find the value of A:

Use a calculator to find the numerical value of the inverse tangent of 6:

Therefore, the angle of inclination of the Sun is approximately 80.5°.
Answer:
15 apps.
Step-by-step explanation:
Divide 6 by 4, and you get how much apps that phone can do in a single minute. Then multiply that number by 10 and you get 15 apps in 10 minutes.
Answer:
$3781.19
Step-by-step explanation:
Let us assume that the student has to earn $(1900 + x) by September 1 so that he can pay the $1900 tuition fee by September 1 and the remaining $x will grow at 3% simple interest to make him able to pay another tuition fee of $1900 by January 1.
So, we can write
{Because September 1 to January 1 is 4 months and the monthly simple interest rate is
%}
⇒ 1.01x = 1900
⇒ x = $1881.19 (Rounded to the nearest cents)
Therefore, the student has to earn $(1900 + 1881.19) = $3781.19 (Answer)
Answer:
9.09
Step-by-step explanation:

= 9 + 
= 9+ 0.09
= 9.09
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