Answer:
The fraction 7/8 is really close to 1 , so Yvonne could estimate that she needs approximately 6 yards of fabric per dress. So, to make 5 dresses, she would need approximately 30 yards.
Step-by-step explanation:
I'm not entirely sure, but 7/8 is very close to a whole, so this is what I would assume.
Answer:
B
Step-by-step explanation:
Make a proportion.
x is the number of balloons sold each day.
![x=\frac{846}{18} \\ \\ x=47](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B846%7D%7B18%7D%20%5C%5C%20%5C%5C%20x%3D47)
Greetings!
The formula for the area of any triangle is as followed:
![A_{triangle}=\frac{bh}{2}](https://tex.z-dn.net/?f=%20A_%7Btriangle%7D%3D%5Cfrac%7Bbh%7D%7B2%7D%20%20%20)
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<u>Let Statements:</u>
Let the variable...
→
represent the length of the base of the triangle
→
represent the length of the height of the triangle
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Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:
![10=\frac{(4)(x+3)}{2}](https://tex.z-dn.net/?f=10%3D%5Cfrac%7B%284%29%28x%2B3%29%7D%7B2%7D%20%20%20)
Distribute the parenthesis<em> (The Distributive Property) </em>:
![10=\frac{((4)(x)+(4)(3))}{2}](https://tex.z-dn.net/?f=10%3D%5Cfrac%7B%28%284%29%28x%29%2B%284%29%283%29%29%7D%7B2%7D%20%20%20)
![10=\frac{4x+12}{2}](https://tex.z-dn.net/?f=10%3D%5Cfrac%7B4x%2B12%7D%7B2%7D%20%20%20)
Reduce the fraction to lowest terms:
![10=2x+6](https://tex.z-dn.net/?f=10%3D2x%2B6)
Add -6 to both sides of the equation:
![(10)+(-6)=(2x+6)+(-6)](https://tex.z-dn.net/?f=%2810%29%2B%28-6%29%3D%282x%2B6%29%2B%28-6%29)
![4=2x](https://tex.z-dn.net/?f=4%3D2x)
Divide both sides of the equation by 2:
![\frac{4}{2}=\frac{2x}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B2%7D%3D%5Cfrac%7B2x%7D%7B2%7D%20%20)
![2=x](https://tex.z-dn.net/?f=2%3Dx)
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The Answer to this Problem is:
![\boxed{x=2}](https://tex.z-dn.net/?f=%20%5Cboxed%7Bx%3D2%7D%20)
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I hope this helped!
-Benjamin
LINE A
y-intercept : 3
x-intercept: 3
Rate of change: x (because 3/3 equals 1 and 1 times x is the same as x by itself)
Line B
y-intercept: 2
x intercept: -2
rate of change : x (because 1/1 is 1 and 1 times x is the same as x by itself)
Line C
y-intercept: -4
x intercept: 2
rate of change: 2
Line A: Equation F
Line B: Equation D
Line C: Equation E
Extra Notes:
y=mx + b is the slope intercept equation.
M is the slope
B is the y intercept
X and Y are the coordinates
To find slope, you can always use y2-y1/x2-x1 or even determine the slope on the graph by using rise over run and simplifying when possible.
(Please check my method to see if the answers are correct)