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:
30 inches
Step-by-step explanation:
She takes 12 equal sized steps and they all add up to 10 yards.
The length of each step (in yards) is:
10 / 12 = 5/6 yards
The question requires the answer in inches, therefore, we must convert this to inches:
1 yard = 36 inches
5/6 yards = 5/6 * 36 = 30 inches
Each step is 30 inches long.
Answer:
$936.94
Step-by-step explanation:
Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- 
- 
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events
Calculating the size of |E n B|
<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|
<em>The size = 1 because it contains 1 possible outcome</em>
9514 1404 393
Answer:
cost for adults: 2×$12.50
cost for children: 3×$8.00
total cost: 2×$12.50 +3×$8.00
$49.00
Step-by-step explanation:
Assuming I, my brother, and my sister qualify for children's tickets, we have ...
cost for adults: 2×$12.50
cost for children: 3×$8.00
total cost: 2×$12.50 +3×$8.00
Evaluation:
$25.00 +24.00 = $49.00 . . . . . . . multiplication is performed first
