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dalvyx [7]
1 year ago
11

Bob and joe have a class together at Kensington college. They leave the class at the same time. Bob goes to the library at 4 mil

es per hour, joe heads to the exact opposite direction at 2 miles per hour. How long will it be before the classmates are 2 miles apart .
Mathematics
1 answer:
galben [10]1 year ago
5 0

Solution

For this case we can create the following schema

We can use the definition of distance:

x= vt

We can find the relative velocity:

V_{\text{rel}}=4-2=2\frac{mi}{hr}

And the distance between both is required to be 2 mi so then we can find the time like this:

t=\frac{x}{v_{\text{rel}}}=\frac{2mi}{\frac{2mi}{hr}}=1hr

Then the answer is:

1 hr

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HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c
Anna71 [15]

Answer:

n=241

Step-by-step explanation:

We are given

5x^2+nx+48

Let's assume it can be factored as

5x^2+nx+48=(5x-s)(x-r)

now, we can multiply right side

and then we can compare it

5x^2+nx+48=5x^2-5rx-sx+rs

5x^2+nx+48=5x^2-(5r+s)x+rs

now, we can compare coefficients

rs=48

5r+s=-n

n=-(5r+s)

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

48=-+(1\times 48)

48=-+(2\times 24)

48=-+(3\times 16)

48=-+(4\times 12)

48=-+(6\times 8)

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

n=-(5\times -48-1)

n=241


7 0
3 years ago
Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
kotykmax [81]

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

Each bucket of ice cream costs $7.28

Each bucket of frozen yogurt costs $8.21.

To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

7.28i+8.21y\geq 100

8.21y\geq 100-7.28i

Divide both sides by 8.21.

y\geq \dfrac{100-7.28i}{8.21}

Therefore, the required inequality is y\geq \dfrac{100-7.28i}{8.21}.

8 0
3 years ago
What is 56,276 rounded to the nearest 10t
weeeeeb [17]
<h2>im pretty sure it is... 56,280?</h2>
3 0
3 years ago
How to solve 45=6n+3n
Naddik [55]
<em>45 = 6n + 3n 
45 = 9 n
dividing 9 on other side
45 / 9 = n
5 = n 
or 
n = 5 answer..
</em>
5 0
3 years ago
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Every repair bill at Chuckie’s Service Spot includes a fixed charge for an estimate of the repairs plus an hourly fee for labor.
lakkis [162]

Answer:

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