Answer:
Assuming you have the lengths in inches.
Do this: (length in inches * 10) x (length in inches * 10)
Step-by-step explanation:
There's information missing from this question. "The football field is 100 yards long and yards wide", but to find out the area of a rectangle you just need to times the two numbers together.
I assume you have a picture with the lengths in inches on, if you can see how many inches are on the scale drawing, times the inches by 10 for the length in yards for each side. Then times the two lengths (in yards) together for the area.
:)
To know whether the shape is the pre-image or the resulting shape, we need to look at its name.
In this instance, the name of the pre-image is GHIJ.
The resulting name of the shape would be G'H'I'J'.
An apostrophe is placed after every letter to signify that it is the resulting coordinate of the original.
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
Answer:
(1, 10)
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>
-5x + 6y = 55
4x + 3y = 34
<u>Step 2: Rewrite Systems</u>
4x + 3y = 34
- Multiply everything by -2: -8x - 6y = -68
<u>Step 3: Redefine Systems</u>
-5x + 6y = 55
-8x - 6y = -68
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -13x = -13
- Divide -13 on both sides: x = 1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 4x + 3y = 34
- Substitute in <em>x</em>: 4(1) + 3y = 34
- Multiply: 4 + 3y = 34
- Isolate <em>y</em> term: 3y = 30
- Isolate <em>y</em>: y = 10
