there are 3 cans that store 9 tennis balls consider the number of balls per can find the constant of proportionality for the situation

Answers

Answer 1

Answer: The equation is:. Balls = (K) (Cans). The constant of proportionality is ' K' . It's Value is exactly 3 balls/can.

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Ben has a cell phone plan that provides 200 free minutes each month for aflat rate of $39. For any minutes over 200, Ben is charged $0.35 per minute.
Which of the following piecewise functions accurately represents charges
based on Ben's cell phone plan?
A. f (x) =
39, x> 200
39+. 35, x < 200
B. f (x) =
39, x 200
35(x-200), x > 200
C. f(x) =
39,
x200
35x, x > 200
D. f (x) =
39.x200
39+. 35(x-200), x > 2001

Answers

Answer:

The piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\nf(x)=39 + 0.35(x - 200), x > 200}$

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

So, $f(x)= 39, x \leq 200$

We are also given that For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

$f(x)=39 + 0.35(x - 200), x > 200}$

Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\nf(x)=39 + 0.35(x - 200), x > 200}$

9 1/2 gal = ? qt?

Im so bad at math!!!

Answers

-In US 1 gal= 4qts.
-In order to find out how much 9 1/2 gal equals in quarts, you need to multiply 9 1/2 by 4.
-To make it easier you can turn 9 1/2 to 9.5
- So the ANSWER is 38 quarts!!!!
- 9 1/2= 38 qt
-HOPE THAT HELPED!!!!

Hey there! 9 1/2 in decimal form is 9.5 because 1/2=0.5 and then you add 9 to 0.5 (9+0.5=9.5). So, 9 1/2 gallons equals 38 quarts.

Convert 7qt/min into gallons per hour

Answers

we first need to turn every thing into the same unit of measure ment

1 gallon=4 quarts
60 minutes=1hour

7*60=420 420 is how many quarts per hour but we want gallons so we want to divide by 4
420/4=105
105 gallons per hour

so
qt=quart
4 quart=1 gallon
1 quart=1/4 gallon
min=minute
60 minutes in 1 hour
1 minute=1/60 hour

so 7 quarts=7 times 1/4 gallons=7/4 gallons
1 minute=1 times 1/60 hours=1/60 minutes

7/4 gallons per 1/60 minutes
(7/4gal)/(1/60h)
we don't really need to divide so multiply the whole thing by (1/60)/(1/60) to clear bottom fraction
(7/4 times 60/1)/(1/60 times 60/1)=(420/4)/(60/60)=(420/4)/(1) =420/4=210/2=105/1=105 gallons per hour

the asnwer is 105 gallons per hour

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. Explain your answer. 7.81 units
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10.4 units