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Answer:
25.92 foot strides
Step-by-step explanation:
The man will take 120/5 = 24 five foot stride to cover the initial 120 foot advantage of the child.
Within this time, the child would have covered an additional 24/5 x 2 = 9.6 extra foot stride.
Within this 9.6 food stride of the child, the man will have to take an additional 9.6/5= 1.96 strides.
Total foot stride by the man will be 24 + 1.96 = 25.92 foot strides.
Answer:
Step-by-step explanation:
Let x represent the amount of medical bills that Giselle has to pay.
Assume she has over $160 in bills,
it means that
x > 160
Under plan A, Giselle would have to pay the first $110 of her medical bills, plus 35% of the rest. Therefore, she will have to pay for
35/100 × (x - 110) = 0.35(x - 110)
Under plan B, Giselle would pay the first $160, but only 20% of the rest. Therefore, she will have to pay for
20/100 × (x - 160) = 0.2(x - 160)
Therefore, the amount of medical bills that plan B will save is
0.35(x - 110) - 0.2(x - 160) = 0.35x - 38.5 - 0.2x + 32
0.15x + 6.5
Substituting x = 160 into 0.15x + 6.5, it becomes
0.15 × 160 + 6.5 = $30.5
Total bills would be 160 + 30.5 = 190.5
Therefore, Giselle would save $30.5 with plan B if she had more than $190.5 in bills.
He got a 76% on his last test, which was less than before. This means his average grade will decrease.
Answer:
x = 3, x = - 
Step-by-step explanation:
Since x = 2 is a root then (x - 2) is a factor
2x³ - 3x² - 23x + 42 ÷ (x - 2)
= (x - 2)(2x² + x - 21)
solve 2x² + x - 21 = 0 for remaining roots
(2x + 7)(x - 3) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 7 = 0 ⇒ x = - 