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Alexxx [7]
4 years ago
10

A cat and dog stumble across a sleeping skunk. They run away from it in opposite directions- the dog at a speed of 6 feet per se

cond and the cat at a speed of 9 feet per second. How long will it be until the pets are 165 yards apart?
Mathematics
1 answer:
dimulka [17.4K]4 years ago
5 0
Speed = Distance/Time

Cat's Speed 9ft/s

Dog's Speed 6ft/s

Let x be the distance travelled by the Cat,
the distance travelled by te dog =165 -x,
and t, the time spend

Cat's Speed 9ft/s =x/t

Dog's Speed 6ft/s =(165 - x)/t
Solving for t you will get t= 11 seconds

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Solve the system of equations by using substitution.<br> y = 2x – 3<br> y = x+4
Marina CMI [18]

Answer:

point form=7,11     x= 7,y =11

Step-by-step explanation:

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a woman had 75 to give away she gave the first person 1/3 of it then the second person 1/5 of the balance hiw much money did she
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75 divided by 3 is 25, so she gave the first person 25. 75 divided by 5 is 13 for the second person. 13 + 25 is 38, and 75 - 38 is 37, so she had $37 left. Hope this helps!
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Snowcat [4.5K]

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b

Step-by-step explanation:

6 0
3 years ago
A concession stand at a sports stadium sells 600 bags of peanuts (each game) if the price of each bag is $4.00. For each $0.25 i
grin007 [14]

Answer:

Price = $4.50

Maximum revenue = $2,430

Step-by-step explanation:

The concession stand sells 600 bags of peanut at $4.00 (600, $4.00).

If there is a $1 increase in price, the number of bags old will decrease by 120, which mens that 480 bags of peanuts will be sold at $5.00 (480, $5.00).

Tracing a linear relationship between price and quantity sold with the two given points:

m = \frac{5-4}{480-600}\\ m=-\frac{1}{120}

P - P_0=m*(Q-Q_0)\\P-4.00=-\frac{1}{120} (Q-600)\\P= -\frac{1}{120}Q +9

The revenue function is given by the price multiplied by the quantity sold:

R=Q*P= (-\frac{1}{120}Q +9)*Q\\R=-\frac{1}{120}Q^2 +9Q

The value of 'Q' for which the derivate of the revenue function is zero, is the output level for which revenue is maximum:

R'=0=-\frac{2}{120}Q+9\\Q_{max} = 540\\P_{max} = -\frac{540}{120} +9\\P_{max} =\$4.50

The total revenue of 540 units at $4.50 per unit is:

R = \$4.50*540\\R=\$2,430

6 0
3 years ago
What is the center of the circle and the radius of 2x^2 - 12x +2y^2 +8y = 10
DedPeter [7]

Answer:

the center of the circle, (h, k), is (3, -2),

and the radius is √18, or 3√2.  

Step-by-step explanation:

This problem becomes much easier if you divide it through by 2:

x^2 - 6x +y^2 +4y = 5

Next, regroup this equation so that the x terms are together and the y terms are also together, separately:

x^2 - 6x + y^2 + 4y = 5

Next, complete the square of x^2 - 6x:

x^2 - 6x → x^2 - 6x + 9 - 9 →  (x - 3)^2 - 9.

Then complete the square of y^2 + 4y:

y^2 + 4y + 4  -  4  →  (y + 2)^2 - 4

Now rewrite x^2 - 6x + y^2 + 4y = 5 as

                       (x - 3)^2 - 9 + (y + 2)^2 - 4 = 5

Next, group the constants together on the right side:

     (x - 3)^2 - 9 + (y + 2)^2 - 4 = 5    →   (x - 3)^2 + (y + 2)^2  = 18  

Comparing this result to the standard equation of a circle:

                                                        (x - h)^2 + (y - k)^2 = r^2,

we see that h = 3, y = -2 and r^2 = 18.

Thus, the center of the circle, (h, k), is (3, -2),

and the radius is √18, or 3√2.        

6 0
3 years ago
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