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Alexxandr [17]
2 years ago
10

A veterinarian divided 4/5 of a bottle of medicine equally among 4 sick cats. How much did she give each sick cat?

Mathematics
1 answer:
boyakko [2]2 years ago
4 0
I think it’s 1/5 or 3 1/5
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A bus company took a tour bus on a ferry when there were 30 people aboard. The ferry charged the bus company $180. The following
OLEGan [10]
Problem: A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? How much does each person cost? Show this using y = mx + b form.

Solution:
Let x = the number of people on the bus
Let y = the total cost for the bus with its passengers to use the ferry.

Then, when there are 30 people on the bus (x = 30), the cost was $180 (y = 180). This means the point (x, y) = (30, 180).
Also, when there were 50 people on the bus, the cost was $220. So that is the point (50, 220).

You see - we have two points and so we can write the equation of a line that goes through those points. The first thing we have to do is find the slope.

The slope of the line joining two points is the rise divided by the run. That means

m = (y2 - y1) / (x2 - x1)

So we put in the values of (30, 180) and (50, 220):

m = (220 - 180) / (50 - 30)
m = 40 / 20
m = 2.

The slope is 2. Now we can write it in the form y = mx + b, using 2 for m:

y = 2x + b.

This equation connects both points, so that means it goes through those points. We want to know "b" next, so we can now substitute in either point for the x and the y. I will substitute in x = 50 and y = 220:

220 = 2(50) + b
220 = 100 + b
b + 100 = 220
b = 120.

Now I know the b and the m, so I can finally write the full y=mx + b form of the equation:

y = 2x + 120.

For the other questions, I can look at the equation I got. The y-intercept (b value) is $120. That means that we are adding $120 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

Here's an example: if you had just 10 people on the bus, you'd pay $120 for the empty bus and $2 for each person. That's $20 for the people and $120 for the bus. That total is $140. Let's see if (10, 140) works in the equation we got:

y = 2x + 120
140 ?=? 2(10) + 120
140 ?=? 20 + 120
yes. 140 = 140. It does work.

Now you try it with your question.
5 0
3 years ago
The tax rate is 6.8%. What is the tax on $9.95 rounded to the nearest hundredth?
Viktor [21]

Answer:

68 cents!

Step-by-step explanation:

9.95 * 0.068 = $0.6766.

Rounded to the nearest hundreth that is 0.68.

That means the tax rate rounds to 68 cents.

3 0
2 years ago
Read 2 more answers
What is the value of discontinuity of x^2+8x+4/x^2-x-6? Choices:
Morgarella [4.7K]

Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)

Now, let's see the numerator.

x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
A 42" diameter table needs a tablecloth that hangs off the edge 8". What is the radius of the tablecloth? 29" 21" 25" 50"
Blababa [14]
I think the answer is 50" because if the table is 42" and it needs to hang over 8" then it would have to be 50"
3 0
3 years ago
Read 2 more answers
The number of chocolates sold can be determined by the equation: P = $.63c, where P is the price and c is the number of chocolat
VikaD [51]

c

-

p

I believe

maybe im wrong so you might wanna check with someone else

8 0
3 years ago
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