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Neporo4naja [7]
3 years ago
5

bus driver drove from Philadelphia to Washington D.C. He drove the first 100 km in 2 hours, the next 55 km in 1 hour, and the fi

nal 75 km in 2 hours. What is the average speed of the bus throughout the trip?
Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer: I think it’s 46

Step-by-step explanation: Because you add up the miles he drove them divide them by how long he drove

Ex 55+75+100=230 then you divide that by 5 hours = 46 per hour

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Determine whether 2, 5, 9, 14, . . . is an arithmetic sequence
guapka [62]

Answer:

no because they do not go up by the same number  plz mark brainiest

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by
faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 in^3.

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

                                         =[(23-2x)(13-2x)x] in^3

                                         =(299x-72x² +4x^3) in^3

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here a=12, b=-144 , c=299

\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}

\Rightarrow x= 9.33, 2.67

If  we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

V''|_{x=2.67}=-144+(24\times 2.67)=-79.92

Therefore  at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

                                    =17.66 in

The width of the box =[13-(2×2.67)] in

                                  =7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) in^3

                                                            =361.19 in^3

8 0
3 years ago
1. Solve for w in the equation W/5 = 25<br> A.W = 5<br> B.W = 125<br> C. W = 30<br> D.W = 20
vekshin1

Answer: <em>w = 125</em>

Explanation: Since <em>w</em> is being divided by 5, to solve for <em>w</em>,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So <em>w = 125</em>.

<u />

<u>Please do not do this problem in your head.</u>

Show the work that it takes to get <em>w</em> by itself.

3 0
3 years ago
As a fringe benefit, Dennis Taylor receives a $31,000 life insurance policy from his employer. The probability that Dennis will
Paha777 [63]
In order to  see the probaability of this we need to do an easy calculation here:
If  X<span> is the price for the policy, then we proceed like this: 

</span>0.982x = 0.0275*<span>31,000
</span><span>
x = 0.0275*</span><span>31,000</span><span>/0.982 

Minimum ammount he can expect to pay = $868.12 </span>
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%20HELP%21" id="TexFormula1" title="\sf HELP!" alt="\sf HELP!" align="absmiddle" class="l
ehidna [41]

Answer:

x=13

Step-by-step explanation:

Switch sides:

2x−9=17

Add 9 to both sides:

2x−9+9=17+9

Simplify

2x=26

Divide both sides by 2:

2x/2 =26/2

Simplify to get the result.

x=13

8 0
3 years ago
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