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
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You can do this by completing the square
x^2 - 14x + y^2 + 8 = 16
(x - 7)^2 - 49 + (y + 4)^2 - 16 = 16
(x - 7)^2 + (y + 4)^2 = 16 + 16 + 49 = 81
so the center is at (7 , -4) and radius = sqrt81 = 9
Step-by-step explanation:
gradient = slope or several other words.
it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.
it is represented by the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
in our case, when going from A to B we have
x changes by -2k (from 3k to k).
y changes by -11 (from 8 to -3).
so, the gradient or slope is
-11/-2k = 3
11/2k = 3
11 = 3×2k = 6k
k = 11/6
A = (33/6, 8) = (11/2, 8)
B = (11/6, -3)
Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.
Step-by-step explanation:
- Step 1: Find equation for Thursday's sales.
Given b = price of a loaf of bread and m = price of one liter of milk
Total sales = €10.90
Equation ⇒ 4b + 5m = €10.90
- Step 2: Find the values of b and m.
3b + 2m = 6.25 ----- (1)
4b + 5m = 10.90 ---- (2)
Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.
15b + 10m = 31.25
8b + 10m = 21.8
Subtract eq(2) from eq(1)
⇒ 7b = 9.45
⇒ b = 9.45/7 = €1.35
Substitute for b and find m using eq(1).
⇒ 3 × 1.35 + 2m = 6.25
⇒ 4.05 + 2m = 6.25
⇒ 2m = 2.2
∴∴ m = 2.2/2 = €1.1
