Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
Answer:5
Step-by-step explanation:there are 6 boxes between the top of the 3rd box and the bottom of the 10th box.
Since each box is 10 inches tall, the length of the 6 boxes sum up to 60 inches.
and since 12 inches =1 feet,
Then 60 inches = 5 feet
How to solve
Let "y" = the unknown number of feet's
12 inches = 1 feet
60 inches = y
Cross multiply
> 12×y =60×1
> 12y =60
Divide both sides by 12 since you want the value of "y".
> 12y÷12=60÷12
So 12 cancels out leaving the final answer to be:
> y=5
Answer:
1/4 ( p - 1/4 q^2).
Step-by-step explanation:
p/4 - q2/16
The greatest common factor is 1/4 so we have the answer:
1/4 ( p - 1/4 q^2).
a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9
