The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
I assume that this 'something' has a rectangular shape. If its width is 5m, than the length of two sides is 2 * 5 = 10m. Now if the perimeter is 22 square meters, then the lenght of another two sides is 12 / 2 = 6.
12 because 22 (the perimeter) - 10 (lenght of the 2 sides) = 12 (length of another 2 sides).
Answer:
g(f(2)) = 11
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) = 3x - 2
g(x) = x² - 5
<u>Step 2: Find g(f(2))</u>
f(2)
- Substitute in <em>x</em>: f(2) = 3(2) - 2
- Multiply: f(2) = 6 - 2
- Subtract: f(2) = 4
g(f(2))
- Substitute in <em>x</em>: g(4) = 4² - 5
- Exponents: g(4) = 16 - 5
- Subtract: g(4) = 11
Answer:
17/24
Step-by-step explanation:
2 5/6 = 
* 
= 
Answer : y = 2x - 4
hope this helps
