Answer:
x=14
y=140
Step-by-step explanation:
Using (9x+14) + (3x-2) = 180, we can solve this equation.
First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.
Then divide both sides by 12 giving you x=14.
Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y
Hope this helped
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Answer: 350
Step-by-step explanation:
Let the cheeseburger be represented by a.
Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:
= a + 51.
Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:
a + a + 51 = 649
2a + 51 = 649
2a = 649 - 51
2a = 598
a = 598/2
a = 299
299 cheeseburger were sold
Therefore, the number of hamburger sold will be:
= 649 - 299
= 350
Answer:
80 and 40 are the other angles
Step-by-step explanation:
Answer: 3/20
Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20