Answer:
20 pounds of Gummyballs and 5 pounds of caramel was ordered
Step-by-step explanation:
Let :
Gummyball = a
Caramel = b
a + b = 25 - - - (1)
5a + 8b = 140 - - - (2)
From (1)
a = 25 - b
Put into (2)
5(25 - b) + 8b = 140
125 - 5b + 8b = 140
125 + 3b = 140
3b = 15
b = 5
From a = 25 - b
a = 25 - 5
a = 20
Hence,
20 pounds of Gummyballs and 5 pounds of caramel was ordered
Answer: 80 feet.
Step-by-step explanation:
You can calculate the width using two equations and solving for the side lengths.
You can then substitute the L in the first equation for the L in the second equation:
Now, you can factor this equation to solve it:
Your solutions for W are -100 and 80. Considering the width of a rectangle cannot be negative, the only possible solution is 80 feet, which makes your length 100 feet.
<span>let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet</span><span>
</span>
If you would like to solve the following system, you can calculate this using the following steps:
y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20 /5
x = -4
y = 6 * x = 6 * (-4) = -24
If you would like to solve the following system, you can calculate this using the following steps:
y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20 /5
x = 4
y = 6 * x = 6 * 4 = 24
Can you show/tell us the problem please?
