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Ilia_Sergeevich [38]
3 years ago
13

on the opening day at a toy store, every third customer gets a ball and every fourth customer gets a stuffed animal . sixty peop

le come to the store how many get both a ball and a stuffed animal
Mathematics
1 answer:
BigorU [14]3 years ago
5 0
x-\ all\ customers\\\\x=60\\\\
\frac{1}{3}x+\frac{1}{4}x=\frac{1}{3}*60+\frac{1}{4}*60=\frac{60}{3}+\frac{60}{4}=\\
20+15=35\\\\
35\ customers\ got\ both\ ball \ and\ stuffed\ animial.
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The point (-3/5,y) in the third quadrant corresponds to angle θ on the unit circle.
romanna [79]
Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate

hypotenuse = 1 (because it is the radius of the unit circle)

sec (theta) = 1 / (-3/5) = - 5/3

cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate

cot (theta) = -3/5 / y

y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5

Third quadrant => y = -4/5

=> cot (theta) = (-3/5) / (-4/5) = 3/4
7 0
3 years ago
Step 4: Make a prediction with your data.
Keith_Richards [23]

Answer:

estimated gpa:  2.85

Step-by-step explanation:

Evaluate y=0.14x+0.75 at x = 15 (hours):

y = 0.14(15 hours) + 0.75

  = 2.1 + 0.75

y  =  2.85  =  estimated gpa corresponding to 15 houirs of study

3 0
1 year ago
Examine the equation.<br><br> –2(–x + 9) = 2(x – 9)<br> 2x – 18 = 2x – 18<br> This equation has
kolezko [41]

Answer:

infinite solutions

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In the year 1995, there were 1200 students at pine elementary school. In the year 2010 there were 1500 students. Find the rate o
AnnZ [28]

The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be: y=20x-38700

<em><u>Explanation</u></em>

In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.

If x represents the year and y represents the number of students, then two points in form of (x,y) will be: (1995, 1200) and (2010, 1500)

So, the rate of change or slope = (change in value of y / change in value of x) =\frac{1500-1200}{2010-1995}= \frac{300}{15}=20

Now, plugging  slope(m) = 20 and first point (x_{1}, y_{1}) =(1995,1200)  into <u>point slope form of linear equation</u> y-y_{1} =m(x-x_{1}) , we will get.....

y-1200=20(x-1995)\\ \\ y-1200=20x-39900\\ \\ y= 20x-39900+1200\\ \\ y= 20x-38700



4 0
3 years ago
HOW PLEASE HELP SORRYYYYY FOR ASKING
MrMuchimi

Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

4 0
3 years ago
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