help me with this??​

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

[tex]Ratio_1=\dfrac{7}{50}[/tex]

[tex]Ratio_2=\dfrac{x}{750}[/tex]

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

[tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex]

Multiply both sides by 750.

[tex]\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750[/tex]

[tex]x=7\times 15[/tex]

[tex]x=105[/tex]

Therefore, the required equation is [tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex] and the number of students who have red hair is 105.

The required equation of the line is given as y =1/4x -17/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

C

Because 17 divided by two is 8.5

6+9=69 ok so this is simple beacause you take six then add nine with it to get 69

Answer:

First base goes with first height, second base with third height and third base with second height

Step-by-step explanation:

Answer:

Illogical

Step-by-step explanation:

Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads

Answer:

84

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.

Answer:3:5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

had that answer

Answer:

x=11 qqqqgugug

Step-by-step explanation:

I'm nerdy

Answer:

37 degrees

Step-by-step explanation:

All insides of triangles = 180 degrees, so...

67 degrees + 76 degrees + (x + 48) degrees = 180

67 + 76 + (x + 48) = 180

143 + x + 48 = 180

191 + x = 180

x = -11

x + 48

-11 + 48

37 degrees

Answer:

ywes

Step-by-step explanation:

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

Answer:

6x12

Step-by-step explanation:

Answer:

6 multiplied by 12

Step-by-step explanation:

you have 6 bags, each bag contains 12 flyers

Answer:

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

Answer:

-2/1

Step-by-step explanation:

-2/1 starting point -1

Answer:

No Solution

Step-by-step explanation:

I think this will help you

Infinitely many, because if you subtract 5x from both sides, 4 = 4, and that is true at all times, no matter what x is.

Answer:

The answer is A.

Step-by-step explanation:

2x2x2= 8 but one of them fell off.

Answer:

.2 lbs

Step-by-step explanation:

4.5/22.5

0.2 pounds as 4.5 / 22.5 = 0.2

Answer:

Length = 20

Breadth = 12

Step-by-step explanation:

Answer:

Vfgfvhgf

Step-by-step explanation:

Vb vgbbgbv gybgyh

Answer:

3n + 4q

Step-by-step explanation

Answer:

m<5 is 105

Step-by-step explanation:

<5 and <4 are alternate interior angles meaning they are congruent to each other.

Answer:

4.25c+2.75b_<40

Step-by-step explanation:

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

[tex]3x - 4y = 6[/tex]

Subtract sides -3x

[tex] - 3x + 3x - 4y = - 3x + 6[/tex]

[tex] - 4y = - 3x + 6[/tex]

Divided sides by -4

[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]

[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

[tex]slope = \frac{3}{4} \\ [/tex]

_________________________________

We have following equation to find the point-slope form of the linear functions.

[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]

Now just need to put the slope and the given point in the above equation.

[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]

Multiply sides by 4

[tex]4(y - 6) = 3(x - 4)[/tex]

[tex]4y - 24 = 3x - 12[/tex]

Plus sides 24

[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]

[tex]4y = 3x + 12[/tex]

Subtract sides -3x

[tex]4y - 3x = 3x - 3x + 12[/tex]

[tex]4y - 3x = 12[/tex]

And we're done....♥️♥️♥️♥️♥️

Answer: i think it would be 5

[tex]\sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \\[/tex]

17,400 - 3000 = 14,400

Let x be the number of months.

300x = 14,400

Divide by 300.

x = 48

12 months = 1 year

4 years is the answer.

Answer:

4 years

Step-by-step explanation:

Equation: 300x + 3000 = 17400

Subtract 3000 from both sides;

300x = 14400

Divide both sides by 300;

x = 48 months

48 months = 4 years

Answer:

x = 18

y = 5

Step-by-step explanation:

From the figure attached,

'l' and 'm' are the parallel lines and two transversal lines are intersecting these  parallel lines at points A, B and C.

Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]

m∠ABC = 180° - (7x - 23)°

m∠BCA = (11y - 1)° [Vertical angles]

m∠BAC = 49°

In ΔABC,

m∠ABC + m∠BAC + m∠CAB = 180°

180° - (7x - 23)° + 49° + (11y - 1) = 180°

-7x + 11y = -71

7x - 11y = 71 ------(1)

Since, sum of consecutive angles is 180°

Therefore, m(∠ABC) + (3x + 49)° = 180°

180° - (7x - 23)° + (3x + 49)° = 180°

-4x = -72

x = 18

From equation (1),

7(18) - 11y = 71

11y = 55

y = 5

Answer:

number 10

k= 36

number 11

k=33

Answer:

The Answer would be C, i think

Step-by-step explanation:

Answer:

1/4 or 0.25

Step-by-step explanation:

Lets plug x and y into the equation. We now have 3/12, which would be equal to 1/4 or 0.25