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motikmotik
3 years ago
13

A group of 28 students and 3 teachers goes to the theater. Each student pays $12. The school pays an additional $4 per student a

nd $16 per adult. Find the total cost of the trip.
Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

the total is 496

Step-by-step explanation:

you first multiply the number of students by what the each paid

then you find out how much the teachers paid

then how much extra the teachers paid for each student

then add it all together

and you get 496...

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In the formula Distance = Rate x Time, what relationship exists between rate and time in order to keep the distance value consta
Dafna11 [192]
Xy=k, whenever the product of two variables is a constant it is called inverse variation.  This is an inverse relationship, intuitively because, as the value of one variable increases, the other decreases and vice versa.

It is easy to spot as xy=k or y=k/x.
5 0
3 years ago
Let line A be the graph of 5x + 8y = -9. Line B is perpendicular to line A and passes through the point (10,10). If line B is th
frozen [14]
Find slope of line A:
Move into slope-intercept form y = mx+b

<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8

The slope of line A is -5/8.

If </span><span>Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6

So line B has equation </span>
<span>y = (8/5)x - 6

m = 8/5 and b = -6

so

m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5

So m+b = -22/5 or -4.4 in decimal form
</span>
6 0
3 years ago
On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______.
-BARSIC- [3]
The answer is 10
This is because both points have the same x value, which is 2, which means the distance between them is a straight line. That means that we can simply find the distance between the y values, and -4 to 0 is 4 units, and 0 to 6 is 6 units, so 4 + 6 = 10.

I hope this helps!
6 0
3 years ago
Read 2 more answers
consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?
3241004551 [841]

Given that the quadratic equation is y=-x^{2}-10 x+24

We need to determine the y - value of the vertex.

<u>The x - value of the vertex:</u>

The x - value of the vertex can be determined using the formula,

x=-\frac{b}{2 a}

where a=-1, b=-10, c=24

Substituting these values, we get;

x=-\frac{(-10)}{2(-1)}

Simplifying the terms, we get;

x=-\frac{-10}{-2}

x=-5

Thus, the x - value of the vertex is -5.

<u>The y - value of the vertex:</u>

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation y=-x^{2}-10 x+24

Thus, we get;

y=-(-5)^{2}-10(-5)+24

Simplifying the values, we have;

y=-25+50+24

y=49

Thus, the y - value of the vertex is 49.

8 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Alina [70]

Yo sup??

We can solve this problem by applying trigonometric ratios.

sin36=XY/WY

WY=5/sin36

=8.5

Hope this helps.

6 0
3 years ago
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