X = t - 3 is also -t = -x - 3 or t=x+3
Substitute it in
y=2/t+5
y=2/(x+3)+5
Let y=0 to solve for x
0=2/(x+3)+5
-5= 2/(x+3)
-10=x+3
-7=x
Now solve for t
t = x+3
t = (-7)+3
t = -4
Now we can solve for y
y = 2/(-4)+5
y = -0.5+5
y = 4.5
To check
4.5 = 2/(-4) + 5
4.5 = -0.5 + 5
4.5 = 4.5
-7 = -4 - 3
-7 = -7
Therefore
x = -7
y = 4.5
t = -4
Answer:
b
Step-by-step explanation:
Answer:
Metallic Balloons = 74
Bunches of Helium Balloons = 38
Step-by-step explanation:
The question basically asks for the number of "metallic balloons" sold and the number of bunches of "helium balloons" sold.
We will do it in our way. Let B be number o metallic balloons and H be number of bunches of Helium balloons.
Since Metallics cost 2 each and Heliums cost 3.5 per bunch and totaled sales is 281, we can write and equation as:
2B + 3.5H = 281
and, since they sold 36 MORE metallic than helium ,we can write an equation as:
B - 36 = H
We can put 2nd equation in 1st one and solve for B first:

B = 74
Now, we find H:
H = B - 36
H = 74 - 36 = 38
H = 38
Answer:
x = 8
Step-by-step explanation:
The angles 75° and (5x + 35)° are vertical angles and congruent, thus
5x + 35 = 75 ( subtract 35 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8