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.
Hello,
Question:
Jack popped some popcorn, but 3 of the 150 kernels did not pop.
Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.
We Know:
3 out of 150 did not pop
Solution:
3/150 = 3 to 150
Find ratios similar to this one,
4/200
2/100
1/50
So now we know for every kernel that dosent pop there are 50 that did.
Answers:
4 unpopped out of 200 kernels
1 unpopped out of 50 kernels
Answer:
8/55
Step-by-step explanation:
4/5 DIVIDED 5 1/2 = 8/55
Your answer is 199cm is not equal because of 10mm equal 1cm and 100cm equal 1 meter and 100,000cm equal 1 km. Hope this helps.
<span>The correct answer would be option C. Similar polygons
Similar polygons are polygons wherein the corresponding angles are congruent and the corresponding sides are proportional with each other. Thus, having a pair of similar polygons would mean that its corresponding angles would always be congruent.</span>
