Answer:
94 children, 64 students, and 47 adults attended the movie theater.
Step-by-step explanation:
Let; a be for adults, s for students, and c for children.
Make a system to solve for the amount of people.
c/a = 2
a + 2a + s = 205
3a + s = 205
Simplify.
s = 205 - 3a
s = 205 - 3a
c = 2a
Plug it in.
5c + 7s + 12a = 1482
10a + 7(205 -3a) + 12a = 1482
10a + 1435 - 21a + 12a = 1482
a + 1435 = 1482
a = 47
Substitute.
c = 2(47)
c = 94
Solve.
s = 205 - 3(47)
s = 64
Answer:
The answer to your question is (3, 0)
Step-by-step explanation:
Data
4x + 2y = 12 Equation l
x - y = 3 Equation ll
Process
To solve this problem use the elimination method
1.- Multiply equation ll by 2
4x + 2y = 12
2x - 2y = 6
6x 0 = 18
2.- Solve for x
6x = 18
x = 18/6
x = 3
3.- Substitute x in equation ll to find y
3 - y = 3
-Solve for y
-y = 3 - 3
y = 0
4.- Write the solution
(3, 0)
By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
<h3>How to determine angle <XYZ?</h3>
By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
<h3>What is the theorem of
intersecting secants?</h3>
The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
Read more on intersecting secants here: brainly.com/question/1626547
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To find the slope use the formula
Y2-Y1
---------
X2-X1
(-1,-4) (1,4)
4- -4 = 8
-------------
1- -1 = 2
8/2=4 This will be your slope
Y=4x
Now we must figure out the y-intercept using the formula
Y-y1=slope(x-x1)
Y- -4= 4(x- -1)
Y+4= 4x + 4 The 4 distributes to the x and -1
Y=4x +4
-4
Y= 4x
This is your answer in slope intercept form.
P.S if you have a number minus a negative number it makes it a positive number
0.39,0.4. I got these answers because 0.39 has an extra digit the 0.3 so 0.3 becomes 0.30 and 0.39 is bigger than it. 0.4 is greater than 0.3 because the 4 in 0.4 is greater than 0.3. Hope This Helped :D
