Answer:
C is your answer.
Step-by-step explanation:
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<h3>The value of x is 4.10</h3>
<em><u>Solution:</u></em>
Given that,
The angle Johnny holds his pen on paper creates a linear pair
Angles in a linear pair are supplementary angles
Two angles are supplementary, when they add up to 180 degrees
The measure of one angle is 13x + 7
The measure of the second angle is one less than twice the first angle
Therefore,
Measure of second angle = twice the first angle - 1
Measure of second angle = 2(13x + 7) - 1
Measure of second angle = 26x + 14 - 1
Measure of second angle = 26x + 13
Therefore,
Measure of first angle + measure of second angle = 180
13x + 7 + 26x + 13 = 180
39x + 20 = 180
39x = 180 - 20
39x = 160
x = 4.1
Thus value of x is 4.10
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
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