x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
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C. $122.10
20 first hour
20+0.1*20 = 22 second hour
22+0.1*22 = 24.2 third hour
24.2+0.1*24.2 = 26.62 fourth hour
26.62+0.1*26.62 = 29.282 fifth hour
Total=$122.10
Given equation is
![\frac{x^2}{9}-\frac{y^2}{16}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B9%7D-%5Cfrac%7By%5E2%7D%7B16%7D%3D1)
It can be written as follows.
![\frac{x^2}{3^2}-\frac{y^2}{4^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B3%5E2%7D-%5Cfrac%7By%5E2%7D%7B4%5E2%7D%3D1)
Which is of the form
![\frac{x^2}{a^2}-\frac{y^2}{b^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D-%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%3D1)
where a=3 and b=4.
We know that the coordinates of the vertices are (a,0) and (-a,0)
Substitute a=3, we get
The vertices are (3,0) and (-3,0).
We know that the coordinates of the foci are (c,0) and (-c,0)
![c=\sqrt[]{a^2+b^2}](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D)
Substitute a=3 and b=4, we get
![c=\sqrt[]{3^2+4^2}=\sqrt[]{9+16}=\sqrt[]{25}=5](https://tex.z-dn.net/?f=c%3D%5Csqrt%5B%5D%7B3%5E2%2B4%5E2%7D%3D%5Csqrt%5B%5D%7B9%2B16%7D%3D%5Csqrt%5B%5D%7B25%7D%3D5)
Substitute c=5, we get
Hence the foci are (5,0) and (-5,0).
Answer:
-18
Step-by-step explanation:
Put -195 as y and solve
-195 = 9x - 33
Add 33 to both sides
-162 = 9x
Divide both sides by 9
-18 = x