10 quarters to 12 dimes, to 16 nickels
10(0.25) to 12(0.1), to 16(0.05)
2.5 to 1.2, to 0.8
2.083 to 0.8
1.6664
Answer:
These two lines are parallel and system of these equations have no solution
Step-by-step explanation:
Parallel Lines: Lines having same slope and different x and y intercept are parallel lines. System of such equations does not have any solution as these lines does not intersect at any finite points.
Standard form of line is
where
is slope and
is y-intercept.
First Line:
![-4x-4y=-5\\\\-4y=-5+4x\\\\Divide\ both\ sides\ by\ -4\\\\y=-x+\frac{5}{4}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{5}{4}](https://tex.z-dn.net/?f=-4x-4y%3D-5%5C%5C%5C%5C-4y%3D-5%2B4x%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%20-4%5C%5C%5C%5Cy%3D-x%2B%5Cfrac%7B5%7D%7B4%7D%5C%5C%5C%5Ccompare%5C%20with%5C%20y%3Dmx%2Bc%5C%5C%5C%5Cslope%3D-1%2C%5C%20c%3D%5Cfrac%7B5%7D%7B4%7D)
Second Line:
![12x+12y=112\\\\12y=112+-12x\\\\Divide\ both\ sides\ by\ 12\\\\y=-x+\frac{12}{112}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{12}{112}](https://tex.z-dn.net/?f=12x%2B12y%3D112%5C%5C%5C%5C12y%3D112%2B-12x%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%2012%5C%5C%5C%5Cy%3D-x%2B%5Cfrac%7B12%7D%7B112%7D%5C%5C%5C%5Ccompare%5C%20with%5C%20y%3Dmx%2Bc%5C%5C%5C%5Cslope%3D-1%2C%5C%20c%3D%5Cfrac%7B12%7D%7B112%7D)
Hence these two lines are parallel and system of these equations have no solution
The answer to your question is 3
Answer:
![\boxed{131}](https://tex.z-dn.net/?f=%5Cboxed%7B131%7D)
Step-by-step explanation:
→ We know that co-interior angles add up to 180°, so we can set up an equation
x + 17 + 4x + 3 = 180
→ Collect the x terms
5x + 17 + 3 = 180
→ Collect the integers
5x + 20 = 180
→ Minus 20 from both sides to isolate 5x
5x = 160
→ Divide both sides by 5 to isolate x
x = 32
⇒ Now we know the value of x, we can substitute it in back into m∠f because we know angles on a straight line add up to 180°
4x + 3 when x = 32 ⇔ 4 × 32 + 3 ⇔ 128 + 3 ⇔ 131
If Armon needs to buy 5 pounds of apples and 5 pounds of Bananas. He will need to pay a total of (5*0.8) + (5*1.4) = $11.
Which exceeds the 10 dollars that he was given to buy the fruits. So no, he was not given enough money.