The parts of the sum are 60 and 130.
<u>Step-by-step explanation:</u>
- Let the greater part be 'x'.
- Smaller part = (1/2)x - 5
The sum of two parts = 190
⇒ (1/2)x -5 + x = 190
⇒ 0.5x + x = 190+5
⇒ 1.5x = 195
⇒ x = 195/1.5
x = 130
∴ The greater part is 130.
Substitute x=130 to find the smaller part,
Smaller part = (1/2)(130)-5
⇒ 65-5
⇒ 60
∴ The smaller part is 60.
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
Answer:
f(3) = 216
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) = 6ˣ
x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 6³
- Exponents: f(3) = 216
Answer:
The new points to the triangle will be:
![A(1,4)\\ B(1,1)\\ C(-1,1)](https://tex.z-dn.net/?f=A%281%2C4%29%5C%5C%20B%281%2C1%29%5C%5C%20C%28-1%2C1%29)
Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:
![A(3,4)\\ B(3,1)\\ C(5 ,1)](https://tex.z-dn.net/?f=A%283%2C4%29%5C%5C%20B%283%2C1%29%5C%5C%20C%285%20%2C1%29)
Point
is 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is also 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is 3 units away from
, so we'll subtract 3 from 2 to get the new x value:
, so
.
a. How many floors are between the seventh and fifteenth floors?