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3 years ago

6

José drove from New York to Florida. Resting for 1 hour for every 5 hours he drove. If he drove for 35 hours how many hours did

he rest.

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

7 hours

Step-by-step explanation:

He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.

The answer is that he rested for 7 hours.

You might be interested in

a committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer.

miss Akunina [59]

Answer:

$\frac{1}{990}$

Step-by-step explanation:

<u>The full question:</u>

<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?"</em>

<em />

<em />

The permutation of choosing 3 members from a group of 11 would be:

P(n,r) = $\frac{n!}{(n-r)!}$

Where n would be the total [in this case n is 11] & r would be 3

Which is:

P(11,3) = $\frac{11!}{(11-3)!}=\frac{11!}{8!}=11*10*9=990$

So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:

1/990

8 0

4 years ago

Solve the diﬀerential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Anna [14]

<span>Equation at the end of step 1 :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 </span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :

<span> 3.1 </span> Pull out like factors :

<span> -3x3y7 + x3y - 6y</span> = <span> -y • (3x3y6 - x3 + 6)</span>

Trying to factor a multi variable polynomial :

<span> 3.2 </span> Factoring <span> 3x3y6 - x3 + 6</span>

Try to factor this multi-variable trinomial using trial and error<span>

</span>Factorization fails

<span>Equation at the end of step 3 :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step 4 :</span>Theory - Roots of a product :

<span> 4.1 </span> A product of several terms equals zero.<span>

</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>

</span>We shall now solve each term = 0 separately<span>

</span>In other words, we are going to solve as many equations as there are terms in the product<span>

</span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 4.2 </span> Solve : -y = 0<span>

</span>Multiply both sides of the equation by (-1) : y = 0

3 0

3 years ago

Find the value of x to the nearest tenth

TEA [102]

Answer:

114

Step-by-step explanation:

You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.

4 0

3 years ago

Read 2 more answers

Need help with this work sheet

Lesechka [4]

Answer:

its alot to explain but i will try to make it as simple as possible

Step-by-step explanation:

your first goal is to make each problem into the form ax^2+bx+c=0

number 1, 2, 7 and 8 is already done for you

now all you have to do is plug in each number in the standard form into the quadtratic formula.

basically at this point you can just use your calculator to do the rest of the work. dont forget parentheses so it doesnt get confused...

or you can perform the algebraic work.. its all just a matter of plugging in the right numbers into the quadratic formula...

cant really do the work for you since im on my phone. but yeah all you need to do step one is transform each problem into ax^2+bx+c=0 form

then step 2, plug in each number in to the quadtratic formula. from there calculate using basic algebraic rules

5 0

4 years ago

Which statement correctly compares the mean number of students for the data in the plots?

satela [25.4K]

Answer:

<em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

Step-by-step explanation:

We need to compute the mean for each.

<u>Poplar Middle School:</u>

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

<u>Oak Middle School:</u>

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - <em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

7 0

4 years ago