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Viefleur [7K]
3 years ago
13

Janie has $3. She earns $1.20 for every chore she does and can do fractions of chores. She wants to earn enough money to buy a c

d for $13.50. Write an inequality to determine the number of chores,c, janie could do to have enough money to buy the cd
Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

$1.20c + $3 ≥ $13.50     or     $1.20c ≥ $10.50

Step-by-step explanation:

So Janie has $3, and earns $1.20 for each chore. The number of chores she does is c, and she needs $13.50 for the cd. The amount of money she has after doing c number of chores is $1.20c + $3. In order for her to have enough money to buy the cd, the amount of money she has after doing c chores must be greater than or equal to $13.50. This can be written as the inequality:

$1.20c + $3 ≥ $13.50

This will work, but we can simplify this inequality by subtracting $3 from both sides of the equation.

$1.20c ≥ $10.50

$1.20c + $3 ≥ $13.50     or     $1.20c ≥ $10.50

I hope this helps. :)

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Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

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t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
IVE BEEN ASKING FOR HOURS!!!!!! PLEASE HELP ME ANYONE!!!!! Juliet coaches softball and soccer. she coaches both sports for 15 ho
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Answer:

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Step-by-step explanation:

Let :

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Total practice time :

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3 0
2 years ago
Describe the sample space for each of these experiments (a) A coin is tossed and a single die is rolled. (b) A paper cup is toss
kondor19780726 [428]

Answer:

a) S={(head,1),(head,2),(head,3),(head,4),(head,5),(head,6),(tails,1),(tails,2),(tails,3),(tails,4),(tails,5),(tails,6)}

b) S={top,bottom,side}

c) S={(Ace of diamonds),(Two of diamonds),(Three of diamonds),(Four of diamonds),(Five of diamonds),(Six of diamonds),(Seven of diamonds), (Eight of diamonds),(Nine of diamonds),(Ten of diamonds), (Jack of diamonds), (Queen of diamonds), (King of diamonds), (Ace of hearts),(Two of hearts),(Three of hearts),(Four of hearts),(Five of hearts),(Six of hearts),(Seven of hearts), (Eight of hearts), (Nine of hearts),(Ten of hearts), (Jack of hearts), (Queen of hearts),(King of hearts),(Ace of clubs),(Two of clubs),(Three of clubs),(Four of clubs),(Five of clubs),(Six of clubs),(Seven of clubs), (Eight of clubs), (Nine of clubs),(Ten of clubs), (Jack of clubs),(Queen of clubs),(King of clubs),(Ace of spades),(Two of spades),(Three of spades),(Four of spades),(Five of spades),(Six of spades),(Seven of spades),(Eight of spades), (Nine of spades),(Ten of spades),(Jack of spades),(Queen of spades),(King of spades)}

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S={top,bottom,side}

c) The sample space is all the cards in the deck:

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3 0
3 years ago
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balu736 [363]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Answer:

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