Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
1 answer:
Answer:
a) 378 foot
b) 3780¢
c)
Step-by-step explanation:
Given: Ribbon required to make 1 bow = 1.5 yards
We know that 1 yard = 3 foot
a) Number of bows Jeanne wants to make = 84
Foot of ribbon required to make 84 bows
= Number of bows Jeanne wants to make × Ribbon required to male 1 bow
= 84 × 1.5 yards
= 126 × 3 foot = 378 foot
Thus, Jeanne requires 378 foot of ribbon to make 84 bows.
b) Cost of ribbon = 10¢ per foot
Total money required to buy ribbon
= Cost of ribbon × Amount of ribbon required in foot
= 10 × 378
= 3780.00¢
c) Number of bows manufacture wants to make = 84 × 1000
= 84,000 bows
Amount of ribbon required to make bows
= 1000 × Amount of ribbon required to make 84 bows
= 1,000 × 378 = 378000 foot
To write it in exponential form:
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Answer: B
Step-by-step explanation:
Intersection of the 2 parts of the function is (0,0):
==> not A
the second part of the function is an half-line (and x =0)
Answer B
9514 1404 393
Answer:
(a) -(x+7)/y
(b) (x+7)/-y
Step-by-step explanation:
There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.
The given expression with -1 factored out is ...
Likewise, the expression of (b) with the minus sign factored out is ...
On the other hand, simplifying expression (c) gives something different.
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Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).
Given: (-x-7)/y = (-x/y) +(-7/y)
(a) -(x+7)/y = (-x/y) +(-7/y)
(b) (x+7)/(-y) = (-x/y) +(-7/y)
(c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.
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Of course, you need to know the use of the distributive property and the rules of signs.
a(b+c) = ab +ac
-a/b = a/(-b) = -(a/b)
-a/(-b) = a/b
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<u>Summary</u>: The given expression matches (a) and (b).
_____
<em>Additional comments</em>
Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...
Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.
The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.
(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given
(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given
(c) evaluates to (-1-7)/-2 = 4, different from given