Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
Factorize the numerator and denominator, then simplify:
10/45 = (2×5)/(9×5) = 2/9
Now,
1/9 = 1/10 + 1/90
1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900
1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000
and so on, which is to say
1/9 = 1/10 + 1/100 + 1/1000 + …
or
1/9 = 0.111…
so that multiplying both sides by 2 gives
2/9 = 0.222…
Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other
6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18
Finally, we solve for the angle with 18 for x
6(18) + 12
108 + 12
120
Hope this helps
Answer:
-15
Step-by-step explanation:
Well you cleary just divide the numbers But if you dont belive it use a caculator for this
Andre Roberts scored a total of 34 touchdowns
An equation is an expression that shows the relationship between two or more variables and numbers.
The total touchdowns is 80.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32
Let x represent the number of touchdowns scored by Andre Roberts, hence:
x + 14 + 32 = 80
x + 46 = 80
x = 34
Andre Roberts scored a total of 34 touchdowns
Find more about equation at: brainly.com/question/2972832