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Answer:
4 1/11 hours
Step-by-step explanation:
Tom can paint 1/6 of the fence in an hour
Huck can paint 1/5 of the fence in an hour
Tom takes a half-hour break; we can create this equation:
1/6x - 1/2 + 1/5x = 1
use a denominator of 30:
5x/30 - 15/30 + 6x/30 = 30/30
11x/30 = 45/30
multiply each side by 30/11 to get:
x = 45/11 or 4 1/11
Answer:
Step-by-step explanation:
- Binomial: 2 terms
- Trinomial: 3 terms
- Linear: a straight line
- Quadratic: like a curved line
(3x + 2) - (x + 5)
1(3x + 2) - 1(x + 5)
3x + 2 - x - 5 <== combine like terms
3x - x + 2 - 5
2x - 3 <== final answer, linear binomial
(2x + 8) + (3x² - 2)
1(2x + 8) + 1(3x² - 2)
2x + 8 + 3x² - 2
3x² + 2x + 6 <== final answer, quadratic trinomial
(3x + 8) + (4x² - x)
1(3x + 8) + 1(4x² - x)
3x + 8 + 4x² - x
4x² + 2x + 8 <== final answer, quadratic trinomial
(x² + 5x minus (-) 2) + (8 minus (-) 5x)
(x² + 5x - 2) + (8 - 5x)
1(x² + 5x - 2) + 1(8 - 5x)
x² + 5x - 2 + 8 - 5x
x² + 6 <== final answer, quadratic binomial
(x² + 7x) - (x² + 5)
1(x² + 7x) - 1(x² + 5)
x² + 7x - x² - 5
7x - 5 <== final answer, linear binomial
Hope this helps!
Answer:
18
Step-by-step explanation:
<em>Convert</em><em> </em><em>the</em><em> </em><em>mixed</em><em> </em><em>number</em><em> </em><em>to</em><em> </em><em>an</em><em> </em><em>improper</em><em> </em><em>fraction</em><em> </em><em>9</em><em>/</em><em>2</em><em>÷</em><em>1</em><em>/</em><em>4</em>
<em>Reduce</em><em> </em><em>the</em><em> </em><em>numbers</em><em> </em><em>with</em><em> </em><em>the</em><em> </em><em>greatest</em><em> </em><em>common</em><em> </em><em>factor</em><em> </em><em>2</em><em> </em>
<em>and</em><em> </em><em>then</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>numbers</em><em> </em><em>9</em><em>×</em><em>2</em><em>=</em><em>18</em><em> </em><em>✅</em>
Answer:
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
Step-by-step explanation:
Let p represents the number of transactions.
Each transaction is worth 10 points, then p transactions are worth 10p points.
Customers automatically earn 22 points when they sign up.
The total amount of points is
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.