Add all the new budget amounts:
510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410
Her monthly total is 1410, which is less than her income of 1700
1700 - 1410 = 290
She has $290 extra each month.
So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.
Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.
Explanation:
These are the steps to factor the polynomial with the reasons that justify them:
Step Reason
1. 10x³ + 35x² - 4x - 14 Given
2. (10x³ + 35x²) - (4x + 14) Group the terms
3. 5x² (2x + 7) - 2 (2x + 7) Common factor 5x² and 2
After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).
Cost of the skateboard = $77.99
Amount that he already has = $20
$77.99 - $20 = $57.99
He still needs <u>$57.99</u>
He earns $6 for every lawn he mows.
$57.99 ÷ 6 = 9.65
He needs to move <u>10 lawns </u>to earn that $57.99.
He can mow 3 lawns a weekend.
10 ÷ 3 = 3 1/3
He needs to work on <u>4 weekends</u> to mow the 10 lawns.
Answer: It will take him 4 weekends to save enough to buy the skateboard.
