Answer:
$1.75
Step-by-step explanation:
Honestly, you don't really have to pay attention to the other numbers or ratios on the graph until you think you found your answer. Pay attention to whichever ratio you choose and follow these steps:
1. Identify which number is the cost and which is the amount of pens bought
2. Set it up as a division problem by using the cost and the dividend and the amount of pens as the divisor
3. After you have your answer, plot your ratio of 1:(your product) and if the line that was graphed is straight, you are correct.
PS. I used the ratio (2:3.5) to solve this problem
Answer:
Step-by-step explanation:
P = perimeter = 114
P =2 * length +2* width
P = 2(2x - 3) + 2(x)
114 = 4x-6 + 2x
114 = 6x -6
19 = x -1
20 = x
check it
2( 2x -3)+2x = ?
4x -6 +2x=?
6x -6 = ?
6(20)-6 =?
120-6 = 114
yep this is correct
Answer:
1
Step-by-step explanation:
f(x)=x^3+2x^2-x-1
f(1)=1^3+2(1)^2-1-1
f(1)=1+2*1-1-1
f(1)=1+2-1-1=3-1-1=2-1=1
Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
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Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
=====================================
Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
These are chords of a circle, and the equation to solve for any unknowns is to multiply the 2 sections of one chord and set it equal to the mutiplied 2 sections of the other chord. In our case that will look like this: x * 15 = 6 * 5. That's 15x=30. x = 2
