What is the distance between this two points (-8, 7) and (5, 7)

At the north campus of a performing arts school, 30% of the students are music majors. At the south campus, 70% of the stude

Ivenika [448]

Answer:

The north campus had 600 students (180 music majors)

The south campus had 400 students (280 music majors)

Step-by-step explanation:

x = number of students at the north campus before the merger

If the total of students for the two school is given as 1000, so:

(1000 - x) = number of students at the south campus before the merger.

The equation for music major is:

0,3x + 0,7(1000-x) = 0,46(1000)

0,3x + 700 - 0,7x = 460

0,3x - 0,7x = 460 - 700

- 0,4x = -240

x = -240/-0,4

x = 600 -----> total number of students at the north campus

600*(0,3) = 180 music majors at the north

100 - 600 = 400 ------> total number of students at the south campus

400*(0,7) = 280------>music majors at the south

4 0

3 years ago

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

kozerog [31]

The ratios of sin x° and cos y° are 15/8.

We have given that,

Use the image below to answer the following question.

We have to determine to find the value of sin x° and cos y°.

By applying Pythagoras theorem in the triangle given in the picture,

<h3>What is the Pythagoras theorem?</h3>

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying the sine rule in the given triangle,

sin(x°) = Opposie side/hypotenous

= 15/17

cos(y°) = Adjucent side/hypotenous

= 8/17

The relation between the ratio of sin(x) and cos(x) will be,

$\frac{sinx}{cosx} =\frac{\frac{15}{17} }{\frac{8}{17} }$

$=\frac{15}{8}$

Therefore the ratios of sin x° and cos y° are 15/8.

To learn more about the trigonometric function visit:

brainly.com/question/24349828

#SPJ2

5 0

2 years ago

Part 1: How's the weather? A. Investigate the weather forecast in your city. Record the high and low temperatures that are forec

victus00 [196]

Using the mean concept, it is found that:

1. The mean change in the forecasted high temperatures is of -0.33ºC.

2. The mean change in the forecasted low temperatures is of 0.5ºC.

-----------------------------

The mean of data-set is given by the <u>sum of all observations divided by the number of observations.</u>

Item 1:

The changes in the high temperature are: 2, 1, -1, -1, -1, -2

Thus:

$M = \frac{2 + 1 - 1 - 1 - 1 - 2}{6} = -0.33$

The mean change in the forecasted high temperatures is of -0.33ºC.

Item 2:

The changes in the low temperature are: 2, -2, 2, 1, 0, 0.

$M = \frac{2 - 2 + 2 + 1 + 0 + 0}{6} = 0.5$

The mean change in the forecasted low temperatures is of 0.5ºC.

A similar problem is given at brainly.com/question/24754716

3 0

2 years ago

Is 135 pages in 90 minutes faster that 180 pages in 120 minutes

ElenaW [278]

Answer:

they are the same

Step-by-step explanation:

7 0

4 years ago

10. What is the value of x in the solution to the system of equations?

RUDIKE [14]

Solve for x in first equation:

x-2y=7

Add “2y” to both sides

x=2y+7

Put this in to second equation:

3(2y+7)+2y=21

Solve for y:

Distribute the 3 into the ()

6y+21+2y=21

Combine the like y terms

8y+21=21

Subtract 21 from both sides

8y=0

Divide by 8 on both sides

y=0

Put this into the first solved equation:

x=2(0)+7

Solve for x:

Multiple 2(0)

x=0+7

Add 0 and 7

x=7

So the value of x is positive 7.

3 0

3 years ago