The ratio of boys and girls are 2:5. If the total number of students in school are 350, find the number of girls.

Answer:

[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]

Answer:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\displaystyle\frac{1}{2} x+5[/tex]

From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:

[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

I hope this helps!

a) x²+6x

b)5x²-x

c)12x²+15x

d)8x²-12xy

Answer:

[tex]\huge\boxed{y-4=8(x+6)}[/tex]

Step-by-step explanation:

The equation of a line in the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]

We have:

[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]

Substitute:

[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]

Answer:

yshannmm

Step-by-step explanation:

yes

Answer:

  3

Step-by-step explanation:

5(9/12 -1/4) +0.5

= 5(9/12 -3/12) +1/2 . . . . . . express the fractions using a common denominator

= 5(6/12) +1/2 . . . . . . . add the fractions

= 5(1/2) +1/2 . . . . . . reduce the result

= (5 +1)(1/2) . . . . factor out 1/2 (easier than adding mixed numbers)

= 6/2 = 3

_____

A calculator can be a useful tool for evaluating numerical expressions.

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

Answer: The answer is 9/8 = 27/24

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)

Let find percentage of 5/9

[tex]\\ \sf\longmapsto 5/9(100)[/tex]

[tex]\\ \sf\longmapsto 500/9[/tex]

[tex]\\ \sf\longmapsto 55.5\%[/tex]

More students are in chorus

Given

Percentage of students in Chorus.

Fraction of students in band

To find

Which has more students.

Let's start.

We need to find the Percentage of students in band.

[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]

[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]

[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]

[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]

In Percentage:-

[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]

[tex]\sf \longmapsto \: 55.55\%[/tex]

[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

Answer:

To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.

1. add all numbers

46+37+34+31+29+24 = 201

2. divide the sum (201) by the amount of numbers you added (6)

201/6 = 33.5

3. and you're done! the mean (which is basically the average) of the given numbers is 33.5

Answer:

Step-by-step explanation:

ur answer I have the link

Answer:

Total weekly earning = 11x + 9y

Step-by-step explanation:

(a) 11x + 9y = Total weekly earning

The required objective function is 11x + 9y which describes the total weekly earnings.

A linear function is defined as an equation in which the highest exponent of the variable is always one.

We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.

Let's assume that x represents the number of hours each week spent tutoring and

y represents the number of hours each week spent as a teacher's aide.

According to the given information, we can write the linear function would be as:

⇒ 11x + 9y

Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.

Learn more about the Linear functions here:

https://brainly.com/question/13738061

#SPJ2

Answer:

D

Step-by-step explanation:

Please mark brainliest

hope it helps

Answer:

D

Step-by-step explanation:

I just know

Answer:

  72 hectares

Step-by-step explanation:

The dimensions of the rectangle on the ground will be 20,000 times the dimensions shown in the drawing:

  20,000×3 cm = 60,000 cm = 600 m

  20,000×6 cm = 120,000 cm = 1200 m

The area of the land is ...

  A = LW = (1200 m)(600 m) = 720,000 m²

1 hectare is 10,000 m², so this is ...

  720,000 m² × (1 ha)/(10,000 m²) = 72 ha

The area of the plot is 72 hectares.

Answer:

Your GPA would be 1.5 If you have 6 periods.

Step-by-step explanation:

A = 4 GPA Points

B = 3 GPA points

C = 2 GPA Points

D = 1 GPA Points

F = 0 GPA Points

With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F)  + 0 (F) assuming you have 6 periods which adds up to 9. You divide  by the number of periods (6) totaling to 1.5 GPA Points.

Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear

Step-by-step explanation:

Answer:

√10/2

Step-by-step explanation:

I took le test

Answer:

238.888888889

Step-by-step explanation:

Divide 43 by 18, then multiply by 100

Answer: the answer is in the attachment.

Answer:

Hope this helps :)

Step-by-step explanation:

Answer:

There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.

Step-by-step explanation:

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

Answer:

-12.13

Step-by-step explanation:

To add two negative numbers, drop the negative signs and add the two positive numbers. Then make the answer negative.

-9.24 + (-2.89) =

We are adding two negative numbers, -9.24 and -2.89.

Step 1: ignore the negative signs and add the number 9.24 + 2.89

9.24 + 2.89 = 12.13

Step 2: the answer is negative, so add a negative sign to the sum above.

-9.24 + (-2.89) = -12.13

Answer:

x = 2

Step-by-step explanation:

The given point is (-2, 2).  A horizontal line passing through this point is x = 2.

Answer:

Step-by-step explanation:

Set a ratio:

Find  the value of x by cross-multiplication:

Answer:

82.5 miles in 1 1/2 hours

Step-by-step explanation:

Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.

55 miles = one hour

2 hours = 110 miles

1 1/2 hours = 55 ÷ 2 = 27.5

55 + 27.5 = 82.5 miles

82.5 miles

Hope this helps

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.

Answer:

First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

4/60

Divide the top and bottom by 4

4/4 =1

60/4= 15

1/15