Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone

Yes, the given table shows a proportional relation with constant of proportionality  1/3.

Two variables x and y are in proportional relation if the relation between  then is in the form y = k x, where k is the constant of proportionality.

Or we can say for all pairs ( x, y ) , y/x = k , k is constant then the table containing (x, y) values shows a proportional relationship.

From given table

When x= 5 , y =[tex]1\frac{2}{3}[/tex] =5/3

Then, y/x = (5/3)/5 = 1/3 =k

When x =6 , y =2

Then, y/x = 2/6 = 1/3 =k

When  x =  7 , y = [tex]2\frac{1}{3}[/tex] = 7/3

Then, y/x = (7/3) /7 = 1/3 =k

When x=8 , y =[tex]2\frac{2}{3}[/tex] = 8/3

Then , y/x = (8/3) / 8  = 1/3 =k

Thus for each pair (x, y) given in the table the ratio y/x is same , this ratio is say k = 1/3

Therefore, for the given table y/ x = k or y =k x with k = 1/3 , and the table  shows a proportional relation with constant of proportionality  1/3.

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Answer:

[tex]x = - \frac{7}{3} [/tex]

step by step:

3x+5=-2

move constant to the right-hand side and change it's sign

3x=-2-5

Calculate the difference

3x=-7

Divided both sides of the equation by 3

Answer:

b = 1/4

Step-by-step explanation:

We will use 4 as a common denominator.

3 × 2 = 6        2 × 2 = 4

Now we have the equation 6/4 + b = 7/4

Answer:

Blue eyes = 36

green eyes= 24

brown eyes = 84

Step-by-step explanation:

144 divided by 4 is 36

144 divided by 6 is 24

144 divided by 12 is 12 and then multiplied by 7 is 84

hope this helps

Total amount, T = $100 million.

Cost of wheat per ton, C = $300 .

Price per fighter plane, c = $15 million.

Now,

Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.

Amount left = $( 100 - 75 ) = $25 million.

So,

Number of tons of wheat government can buy is :

[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]

Therefore, number of tons of wheat the government can afford is 83333.33 tons.

Hence, this is the required solution.

Answer:

215 mm

Step-by-step explanation:

1 cm = 10 mm

21.5 cm * (10 mm)/(1 cm) = 215 mm

Answer: 215 mm

Answer:

[tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given length of purple line = [tex]\frac{1}{2}\ inch[/tex]

Given length of green line = [tex]\frac{1}{6}\ inch[/tex]

To find:

How much longer is the purple line than the green line ?

Solution:

To find the required length, we have to subtract the length of green line from the length of purple line.

i.e.

The required answer =

[tex]\frac{1}{2}-\frac{1}{6}\\\text{Taking LCM of 2 and 6, we get 6}\\\Rightarrow \dfrac{3-1}{6}\\\Rightarrow \dfrac{2}{6}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]

Therefore, the answer is:

Purple line is [tex]\frac{1}{3}[/tex] of an inch longer than the green line.

Answer:

13f is equation

which is floors times height

Step-by-step explanation:

26*13=338

338 feet tall

Brainliest appreciated!

Answer:

(H)=13f and  the height is 338ft

Step-by-step explanation:

height of skyscraper=h

f=floors

height per floor is 13ft...

(H)=13f

(H)=13*f, if f is 26, then to find height multiply 13 by 26

doing this you get 13*26=338ft

Answer:

Slope: 8 Y-intercept: -1

Step-by-step explanation:

This equation follows the format of y = mx + b. M would be the slope, b would be the y-intercept.

Answer:

11x^2+2x+9

Step-by-step explanation:

2+(2+6)⋅x^2+2x+3x^2+7

2+(8)⋅x^2+2x+3x^2+7

2+8x^2+2x+3x^2+7

9+8x^2+2x+3x^2

9+8x^2+2x+3x^2

11x^2+2x+9

Answer:

The correct answer would be D

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

9514 1404 393

Answer:

  A(n) = 5 +3(n -1)

Step-by-step explanation:

The first term is ...

  A(1) = 5

The common difference is ...

  d = 8 - 5 = 3

Then the desired formula is ...

  A(n) = A(1) +d(n -1)

  A(n) = 5 +3(n -1)

Answer: The number of cups of flour needed for 9 cups of sugar = 12.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Let x=  the number of cups of flour needed for 9 cups of sugar.

Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]

[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]

Hence, the number of cups of flour needed for 9 cups of sugar = 12.

Answer:

no solution both

Step-by-step explanation:

Answer:

the bottom one

Step-by-step explanation:

They are both the same ab and bc but im not entirely  sure

Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.

On the graph, we can see a line that contains points A, B, and C.

Now we want to see which statement is false.

Now, because A, B, and C are on the same line, is trivial that:

AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.

Then we can conclude that the incorrect statement is the last one.

If you want to learn more about lines:

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Answer:

48 days

Step-by-step explanation:

Given that :

Sumiko runs bleachers every 6 days

Jandella runs bleachera every 16 days

The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16

Multiples of

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...

16 : 16, 32, 48, 64,...

Lowest common multiple of 6 and 16 = 48

Hence, the soonest they'll see each other again is in 48 days

Step-by-step explanation:

There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.

For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

or plugging our numbers in,

[tex]8^{2} + {6}^{2} = 100[/tex]

The answer is the radical of the answer, in this case 10.

So if this makes sense, go ahead and try to work the next three out on your own, and if you still need help let me know <:

Hope this helps Bucke!

Answer:

1) 1.267x10^9

2) 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the quadratic equation x^2-19x+9=0 re arranging we have;

x^2-19x+9 - 9=0 -9

x^2-19x = - 9

In order to complete the square we would add  a number to both sides and the number will be the square of the half of coefficient of x in the expression as shown.

Coefficient of x = -19

half of coefficient of x = -19/2

square of the half of coefficient of x = (-19/2)²

square of the half of coefficient of x = 361/4

square of the half of coefficient of x = 90.25

Hence the number that would have to be added to "complete the square" is 90.25

Answer: It can have infinite

Step-by-step explanation:

because numbers never finish

Answer:

-3

Step-by-step explanation:

136 = -8(1+6v)

136 = -8 - 48v

136 + 8 = -48v

144 = -48v

144/ -48 = v

-3 = v

Answer:

62 Degrees

Step-by-step explanation:

65 8/10 - 14 7/10 = 51 1/10

51 1/10 + 10 9/10 = 62

Answer:

The number is 24.

Step-by-step explanation:

-1+7=6

6*4=24

I believe the answer is 96

x/4 - 7 = 17

x/4 = 24

x = 96______is the number