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andre [41]
3 years ago
5

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many

miles can Katie travel without exceeding her limit?
Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

11 miles

Step-by-step explanation:

10-1.75=8.25

8.25÷.75=11

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there are 3 times as many adults as children at a book fair what is the ratio of people at the book fair​
kakasveta [241]

Answer:

1:3

Step-by-step explanation:

There are 3 adults per 1 child at the book fair. I think this is right but im not 100% sure :)

3 0
2 years ago
Factor completely. (3.2² - 12x)(x2 – 2x + 1) =​
pychu [463]

Answer:

3x • (x - 4) • (x - 1)2

Step-by-step explanation:

5 0
2 years ago
A sailboat rental company charges a fee of $78.75 plus $80.25 per hour to rent a sailboat. A second rental company charges custo
Varvara68 [4.7K]

Answer:

3.69 hours

Step-by-step explanation:

y = 80.25x + 78.75

y = 95.75 + 40

85.25x + 78.75 = 95.75 + 40

-85.25x   -40        -85.25x  -40

38.75/10.5 = 10.5x/10.5

3.690476190..... = x

rounding

3.69 = x

4 0
3 years ago
Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake
stiks02 [169]

Answer:

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = \frac{1}{9}

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = \frac{1}{6}

They can do a part of work together in 1 hour =  \frac{1}{9}+\frac{1}{6}

                                                                           =  \frac{5}{18}  

Now they can do \frac{5}{18}  part of work in hour = 1

So, they can do whole work in hours =  \frac{1}{\frac{5}{18}}

                                                             =  3.6

Hence it will take 3.6 hours to paint the room if they work together.

6 0
2 years ago
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) pe
erastova [34]

Answer:

The correct option is D) f'(t)-g'(t) > 0

Step-by-step explanation:

Consider the provided information.

People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,

The change of number of people in building is:

h(x)=f(t)-g(t)

Where f(t) is people entering in building and g(t) is exiting from the building.

It is given that "The functions f and g are non negative and differentiable for all times t."

We need to find the the rate of change of the number of people in the building.

Differentiate the above function with respect to time:

h'(x)=\frac{d}{dt}[f(t)-g(t)]

h'(x)=f'(t)-g'(t)

It is given that the rate of change of the number of people in the building is increasing at time t.

That means h'(x)>0

Therefore, f'(t)-g'(t)>0

Hence, the correct option is D) f'(t)-g'(t) > 0

4 0
2 years ago
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