Answer:
x=8
Step-by-step explanation:
2x-5=11
2x=16
x=16/2
x=8
<span>There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows:
x.10+(91-X).05=7.2
Solving through will yield X =53 which means 91 - 53 = 38.
53*.10 + 38*.05 = $7.20.
Other methods will also work, but this is the most straight forward.</span>
180 -20 = 160 so angle FHG equals 160
Answer:
3 beause when you dividend it -5.6+4(3) .
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
