Find the value of the variable (simplify your answer)

Answer:

2:3

Step-by-step explanation:

we have 4 green stars

and six red stars

as a ratio, it's

4:6

simplified

2:3

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:

-5 degrees fahrenheit

Answer:

a

Step-by-step explanation:

the green figure is the same as the blue figure.

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

Answer:

The correct answer would be D

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.

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.

Also, Learn more about proportionality constant from the link below:

https://brainly.com/question/17793140

#SPJ2

Answer:

62 Degrees

Step-by-step explanation:

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

51 1/10 + 10 9/10 = 62

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:

she would read 20 pages in 1 whole hour

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:

The magnitude of w is approximately 26.

The angle between w and u is approximately 32.2°.

Step-by-step explanation:

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.

Given :

a) The magnitude of 'w' is calculated using the below formula:

[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]

Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.

[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]

Simplify the above expression.

[tex]w =15.1[/tex]

b) The angle between w and u is calculated using the below formula:

[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]

Now, substitute the above values of u and v in the above expression.

[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]

Simplify the above expression in order to determine the value of [tex]\beta[/tex].

[tex]\beta = 62.67^\circ[/tex]

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.

For more information, refer to the link given below:

https://brainly.com/question/13188123

Answer:

-3

Step-by-step explanation:

136 = -8(1+6v)

136 = -8 - 48v

136 + 8 = -48v

144 = -48v

144/ -48 = v

-3 = v

Answer:

(4-1)x2=6

Step-by-step explanation:

(4-1)x2=6

(3)X2=6

6=6

Answer:

[4 - 1] x 2 = 6

Step-by-step explanation:

Test out each possible solution.

Problem: 4 - 1 x 2 = 6

#1: [4 - 1] x 2 = 6

4 - 1 is 3.

3 x 2 is 6.

6 = 6 ✅

#2: 4 [-1 x 2] = 6

-1 x 2 is -2.

-2 [tex]\neq[/tex] 6 ❎

Therefore, #1 is correct.

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

Answer:

orientation is preserved (stays the same)

Step-by-step explanation:

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:

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: It can have infinite

Step-by-step explanation:

because numbers never finish

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:

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:

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:

1) 1.267x10^9

2) 2

Step-by-step explanation: