Bar graph display directly the varibales which are the rate and ratio of the numbers to visualize and display the results, these contrasting the different outcomes. On the contrary, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.<span>
</span>
Answer:
(2, 5)
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 = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
.625
take the amount of quarts divide it by 4 we get .625 then we put it was a fraction 625/1000 after we simplify we get 5/8
5/8 of a can per quart
Answer:
These types of questions are not daunting if you break it down. First look at "Five less than twice the value of a number."
"Twice the value of a number" is simply 2x.
"Five less" is simply -5, so for the first part we have (2x-5)
Next, analyze the second part. "Three times the quantity of four more than one half the number."
Looking at "Three times the quantity" simply means "3 times something".
"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.
So the second part is simply 3(4+x/2).
Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x=34
Checking the left side, (2x-5) = 2(34) - 5 = 63.
Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.
