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3 years ago

14

harper middle school has 125 fewer students than bridger junior high when the two schools merge there are 809 students. how many

students attend at each school?

1 answer:

LuckyWell [14K]3 years ago

7 0

There will be three hundred and forty two, and five hundred sixty seven at the other

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Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

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4 0

11 months ago

Question<br> What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =

vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

= RS / RT

= ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2 ) = ( 2 / √3 )

Divide by ( √3 / 2 ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

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5 0

7 months ago

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1

vredina [299]

Answer:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

The reason is because we assume that each week have the same weight and replacing we got:

$\bar X= \frac{190+163+327+205}{4}= 221.25$

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week 1 2 3 4

Minutes 190 163 327 205

For this case we can find the mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

The reason is because we assume that each week have the same weight and replacing we got:

$\bar X= \frac{190+163+327+205}{4}= 221.25$

And the best option would be:

D. 221.25

4 0

3 years ago

Why is this simplified by combining like terms <br> 3(4x+5) +2

Inga [223]

3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17

3 0

2 years ago

Is -100 rational or irational

pychu [463]

-100 is rational.

-100 can be turned into a fraction by doing the following...

Just put 1 underneath -100 and you get $\frac{-100}{1}$

So that means it is rational since it can be a fraction!

4 0

2 years ago