Answer:
Then the solution is (4, 6).
Step-by-step explanation:
Let's use the substitution method:
First multiply the second equation by 4, obtaining 4y = -2x + 32.
Now substitute (-2x + 32) for 4y in the first equation:
3x + (-2x + 32) = 36, or
3x - 2x + 32 = 36. or
x = 4.
If x = 4, then the second equation yields y = (-1/2)(4) + 8, or
y = -2 + 8, or y = 6
Then the solution is (4, 6).
Check, using the first equation:
Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES
Answer:
C
Step-by-step explanation:
You add both types of tomatoes together to get the total amount of tomatoes
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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We are required to find the total milligrams if medicine the hospital can get from the three companies.
The total quantity of medicine the hospital can get from the three companies is 2.75 milligrams
There are there companies:
Company A
Company B
Company C
Company A = 1.3 milligrams
Company A is 0.9 milligrams more than Company C's
A = 0.9 + C
1.3 = 0.9 + C
1.3 - 0.9 = C
0.4 = C
C = 0.4 milligrams
Company A is also twice the difference between the weight of
Company B's supply and Company C's
A = 2(B - C)
1.3 = 2(B - 0.4)
1.3 = 2B - 0.8
1.3 + 0.8 = 2B
2.1 = 2B
Divide both sides by 2
B = 2.1/2
B = 1.05 milligrams
Therefore,
A + B + C
= 1.3 + 1.05 + 0.4
= 2.75 milligrams
Read more:
brainly.com/question/24562139
Answer:
Obtuse
D)Triangle
D)An acute angle <90 degrees
Step-by-step explanation:
