46.6 is what percent of 67?

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

Travel time = distance ÷ speed

Second half of the trip :

Time taken for second half of trip :

Time taken = 15 / s

First half of the trip :

Time taken for first half of trip :

Time taken = 15 / (s+2)

Total time taken :

First half + second half

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

Substitute s = 12 into the expression :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

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Problem 1

I'm assuming your teacher means "list all the possible rational roots".

If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.

If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:

1/1, 1/3, 5/1, 5/3

That list simplifies to

1, 1/3, 5, 5/3

That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well

-1, -1/3, -5, -5/3

Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.

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Problem 2

We'll follow the same idea as the previous problem

Factors of 36:  1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4:  1, 2, 4

To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.

For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.

As the second table shows, we have a few repeats. The unique items here are:

1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4

We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.

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Problem 3

Divide the factors of 15 over the factors of 5 to get

1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5

That list reduces to

1, 1/5, 3, 3/5, 5, 1, 15, 3

we can then toss out the duplicates to get

1, 3, 5, 15, 1/5, 3/5

Don't forget to include the negative values as well

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Problem 4

The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.

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Problem 5

There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Don't forget the negative values as well

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

Answer:

13.125 meters

Step-by-step explanation:

7/8 times 15

Answer:

I don't know ::{

Step-by-step explanation:

Answer:

(p = 2)     = -2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I think ;- ; sorry

Answer:

0.0032

Step-by-step explanation:

start with [4(30-5)]/10/2

simplify to get:

[4(25)]/10/2

simplify to get:

0.16/10/2

simplify to get:

0.016/5

simplify to get your answer:

0.0032

Answer:

2.5 x [tex]10^{15}[/tex] miles

Answer:

265.2 and 5970.8

Step-by-step explanation:

27

if 90 is 100% and we have to find 30% we have to do this:

(90 * 30) / 100 = 27

two toned cars are 27

Answer:

download Gauthnath and see answer

Answer:

you may

2x+15+4x+21=90 simplified is 6x+36=90

m<a=33º

m<b=90º

m<c=57º

Step-by-step explanation:

6x+36=90

6x=54

x=9

2(9)+15=33

4(9)+21=57

Answer:

Most likely a B.

Step-by-step explanation:

This depends on how much the test was of your grade.

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

Up 8 Units, Hope this helps :)

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

Answer:

D) 2x^2 + 6x - 4

Step-by-step explanation:

I took the quiz and got a 100%

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[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle ABC

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]

We know,

Sum of all interior angles of a triangle is supplementary.

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]

On adding equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]

On substituting the value in equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]

Also, from equation (2), we get

[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]

Hence,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]

Answer:

angle A=30°

angle B=95°

angle C=55°

Answer: 0.00034

Step-by-step explanation: 10^-4 would move the decimal left four times.

Answer:

the number is -2/7

Step-by-step explanation:

let the number be x

2x ×4= 7x-2/7

8x = 7x-2/7

collect like terms

8x-7x = -2/7

X= -2/7

Answer:

c

Step-by-step explanation:

Answer:

56 adults and 35 children

Step-by-step explanation:

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91

Answer:

x² - 14x + 49

Step-by-step explanation:

Simplifying (x-7)²:

(x-7)²

= (x-7)(x-7)

= x(x-7) - 7(x-7)

= x² - 7x - 7x + 49

= x² - 14x + 49

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

1/8 x 1/4=18

Step-by-step explanation:

I think it times