Answer:
5x - 8y = -48
Step-by-step explanation:
Move 5/8x to the y side to get (-5/8)x + y = 6. Multiply both sides by -8 to get 5x - 8y = -48.
Answer:
2,100 miles
Step-by-step explanation:
<u>Step 1-</u> Find the miles the car can travel per gallon
630 miles/ 15 gallons=42 miles per gallon
<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used
42x50=2,100 miles
Answer:
The area of Nancy's garden is ![16\frac{7}{8}\ yd^{2}](https://tex.z-dn.net/?f=16%5Cfrac%7B7%7D%7B8%7D%5C%20yd%5E%7B2%7D)
Step-by-step explanation:
I assume that the Nancy's garden is a rectangle shape
To find the area first convert mixed number to an improper fraction
![4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd](https://tex.z-dn.net/?f=4%5Cfrac%7B1%7D%7B2%7D%5C%20yd%3D%5Cfrac%7B4%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B2%7D%5C%20yd)
![3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B4%7D%5C%20yd%3D%5Cfrac%7B3%2A4%2B3%7D%7B4%7D%3D%5Cfrac%7B15%7D%7B4%7D%5C%20yd)
Therefore
The area is equal to
![A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B9%7D%7B2%7D%2A%5Cfrac%7B15%7D%7B4%7D%3D%5Cfrac%7B135%7D%7B8%7D%5C%20yd%5E%7B2%7D)
convert to mixed number
![\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B135%7D%7B8%7D%5C%20yd%5E%7B2%3D%5Cfrac%7B128%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B8%7D%3D16%5Cfrac%7B7%7D%7B8%7D%5C%20yd%5E%7B2%7D)
Answer:
2
Step-by-step explanation:
Answer:
y = 96°
Step-by-step explanation:
The measure of the inscribed angle y is half the measure of its intercepted arc.
The whole circle = 360°
the intercepted arc = 360° - 168° = 192°
Thus
y =
× 192° = 96°