Answer:
f(3) = -17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x - 2
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = -5(3) - 2
- Multiply: f(3) = -15 - 2
- Subtract: f(3) = -17
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
So you have to ask yourself “how many 25 minute sessions are there in 6 hours?” First you have to convert 6 hours to minutes. 6 hours = 360 minutes. Next divide that number by 25. 360 divided by 25 is 14.4. Now you know that there are 14.4 sessions of 25 minutes in 6 hours. Because the Ferris wheel can have 50 people in 25 minutes, you can multiply 14.4 times 50. The answer is 720 people.
Answer:
Let p be the number of phones sold and a be the number of accessory sold.
9p + 4a = 253
a - p = 8
Step-by-step explanation:
He gets $9 for every phone and $4 for every accessory, so you can write this as
9p + 4a
Then he made a total of $253 do the new equation is
9p + 4a = 253
We are also given that he sold 8 more accessories than phones. So we can write this as
a = p + 8
rearrange that so that all the variables are to one side.
a - p = 8
Now you have the two equations needed to solve the for the variable. The question didn't ask me to solve for the variable so I'll leave it here.
I’m pretty sure it’s 200 :)
