The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
![\frac{140}{168}=\frac{130}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B140%7D%7B168%7D%3D%5Cfrac%7B130%7D%7Bx%7D)
Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
![\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20140%5Ccdot%20x%3D168%5Ccdot130%20%5C%5C%20140x%3D21840%20%5C%5C%20%5Cfrac%7B140x%7D%7B140%7D%3D%5Cfrac%7B21840%7D%7B140%7D%20%5C%5C%20x%3D156%20%5Cend%7Bgathered%7D)
Answer: 156 pounds of Organic Free Trade blend
Answer:
Center: (-3,-2)
Radius: √6
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
![(x -h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x%20-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
![(x +3)^{2}+(y+2)^{2}=6](https://tex.z-dn.net/?f=%28x%20%2B3%29%5E%7B2%7D%2B%28y%2B2%29%5E%7B2%7D%3D6)
Therefore:
h=-3
k=-2
The center is at (-3,-2)
And the radius is:
![r^2=6\\r=\sqrt{6}](https://tex.z-dn.net/?f=r%5E2%3D6%5C%5Cr%3D%5Csqrt%7B6%7D)
Then, you can graph it has you can see in the image attached.
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Answer:
3x2+5=11
Step-by-step explanation:
Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches