Answer:
This system has one solution (x=2 and y=2), then the answer is A.
Step-by-step explanation:
The system of equations is:
(1)
(2)
Let's multiply the first equation by 2 and subtract it to the second equation
Using this value in (1) we can find y.
Therefore, this system has one solution (x=2 and y=2), the answer is A.
I hope it helps you!
Answer:
D) 40
Step-by-step explanation:
triangles equal to 180 degrees
2x+10+x+50=180
3x+60=180
3x=120
x=40
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Answer:53 dresses
Step-by-step explanation:
First of all..if one kid required 2 1/4m of cloth,what about 119 1/4m of cloth?
So u take 119 1/4m of cloth and divide it by 2 1/4m of cloth.
Then change the mixed numbers into improper fractions.
So the question will be 477/4 m divided by 9/4 m.
The second improper fraction (9/4)m will be reciprocated to be (4/9)m.
Afterwards,take 477/4 m and multiply it by 4/9 m.
The result will be 53 dresses.
