The equation would be y = 3x + 5
Hope this helps! :)
Answer: C. 
Step-by-step explanation:
When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.
Answer:
Step-by-step explanation:
Zinc:copper = 4:11
Amount of zinc = 4x
Amount of copper = 11x
11x = 418
x = 38 grams
Amount of zinc = 4x = 152 grams
Answer:
[1] Let's make the problem easier to start. Imagine that they had said to find the area of a sector bounded by a 360* arc (the whole circle). Could we have found the area then?
Sure we could! We know that A = pi*r^2, so that would just be:
A = pi*(6)^2 = 36*pi sq. miles.
Easy. But of course, we weren't so lucky... they want 135*... drat!
[2] Well, let's get a little closer, could we find the area if the angle was 180*? Sure! That's just half the circle. After all:
180*/360* = 1/2.
We know the whole circle is 36*pi sq. miles. So, the area bounded by a 180* arc would just be half of this: 18*pi sq. miles.
"But that's not the question," you scream!! Alright, alright, calm down... let's bring it all together.
[3] We know the area of the whole circle [1]. We also know that if we can figure out the fraction of the circle the problem is easy [2]. So, what fraction of a circle would match an arc of 135*?
Well, we can see that
135*/360* = 0.375 or 3/8
So the area is just 0.375 of the whole circle:
0.375* 36*pi sq. miles = 13.5*pi sq. miles
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Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
