Answer:
-5 or 5 depending on how you write the simplified form
Step-by-step explanation:
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
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Some folks like their simplified form to contain only positive exponents. Other folks avoid unnecessary fractions. Choose the form that satisfies your grader.
Answer:
How many items did Bob produce last week? 32 items.
Step-by-step explanation:
(1) Last week Bob was paid total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
a) Let's start with the simplest case: he produced 36 or less items this week.
In this case he produced less than 36 items last week too.
So he was paid the same amount of dollar per item.
Using (1) and (2) assumptions we have:
$480+2X=$510
⇒2X=$510-$480
⇒2X=$30
⇒2X=$30/2
⇒X=$15
He was paid $15 per item.
Last week he was paid $480.
480/15= 32 items.
This week he was paid $510.
510/15=34 items.
The other cases has no solutions.
Answer:
Twine needed to wrap 29 cartons = 51.55 yards
Explanation:
1 feet = 0.3333 yard
1 inch = 0.0277778 yard
Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches
= 1 + 2 x 0.3333 + 4 x 0.027778
= 1.777712 yards.
Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.
Twine needed to wrap 29 cartons = 51.55 yards
Answer:
Equation 1 has no solution. Equation 2 does. The correct answer would be D.
