x is the number of adults and y is the number of children.
x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246
Answer:
y=-x-3
Step-by-step explanation:
Slope intercept form is y=, and so we had to get the x to the other side. To do that you would subtract x from each side and then you get your answer.
(hope this helps!!)
158, 164, 170, 176, 182, 188
Answer:
<h2>
</h2>
Step-by-step explanation:
Since the sequence above is a geometric sequence
For an nth term in a geometric sequence
<h3>
</h3>
where
a is the first term
r is the common ratio
n is the nth term
To find the common ratio divide the previous term by the next term
That's
<h3>
</h3>
So the common ratio / r = 7
the first term is - 1
Substitute the values into the above formula
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
