Step 1
Multiplication property of equality
Multiplying the first equation by 5 and the second equation by 7
Step 2
Addition property of equality
Adding the two equations you get 31a =217
step 3
Division property of equality
Dividing both sides of the above equation by 31 to get the value of a
step 4
Substitution property of equality
Substituting a with 7 in the first equation
step 5
Simplify
simplifying the equation got above
step 6
Using associative property of addition by taking 14 to the other side of the equation.
step 7
Division property of equality
Dividing both side of the equation by 7 to get the value of b
The total number of yards is 360 yards
<h3>How to determine the number of yards?</h3>
The given parameters are:
Number of sheets = 8
Yard per sheet = 45 yards
The total number of yards is calculated as:
Total number of yards = Number of sheets * Yard per sheet
Substitute the known values in the above equation
Total number of yards = 8 * 45 yards
Evaluate the product
Total number of yards = 360 yards
Hence, the total number of yards is 360 yards
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Answer:
The answer is C
Step-by-step explanation:
Move the nine to the other side of the equal sign
Use the quadratic formula
Find a, b, and c
A=2, B=1, C=-10
Plug them in
1 squared minus 4(2)(-10)
1+80
81
Square root of 81=9
<u>-</u><u>1-9</u><u> </u> <u>-1+9</u>
4 4
<u>-</u><u>10</u><u> </u> <u>8</u>
4 4
Simplify
<u>-5</u> <u>2</u>
2 1
<u>-</u><u>5</u><u> </u> 2
2
To count the outside if a shape