Yes, 5:10 and 2:4 are equivalent.
5:10 (simplified) = 1:2
2:4 (simplified) = 1:2
Hope this helps; have a great day!
To answer this, set up a system of equations. What we know is that
5x + 2y = 100
And...
x+y=38
x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions
In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).
So,
x+y=38
Subtract x from both sides
y=38-x
Now, plug (38-x) in as y in the other equation.
5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8
Now that you know that x=8, you can solve for y.
5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30
X=8
Y=30
There are 8 five point questions on the test and 30 two point questions on the test
The hundredth's place is the second number after the decimal. In order to round to such place, you look at the number after it. For example, the number in the hundredth's place in 47.9025 is 0. In order to round, you must look at the number after it, in this case 2. Since 2 is less than 5, the 0 will not be rounded up and remain 0. The answer to your particular question is 12.58.
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
(8x + 2) + 70 + 60 = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 8x + 132 = 180
- Isolate <em>x</em> term: 8x = 48
- Isolate <em>x</em>: x = 6
Quadrant General Form of Point in this Quadrant Example
I (+, +) (5, 4)
II (−, +) (−5, 4)
III (−, −) (−5, −4)
IV (+, −) (5, −4)
