Answer:
18 pounds
Step-by-step explanation:
Quantity of Rift valley blend mixed = 90 pounds
Quantity of Arabian Mocha blend = 27 pounds
Mixture proportion of Rift valley blend : Arabian Mocha blend
= 90 : 27
= 10 : 3
This implies that for every 10 pounds of Rift Valley blend, we mix 3 pounds of Arabian Mocha.
So since the proportion is constant for the secret blend the let the unknown quantity of Arabian Mocha be "x" while the Rift Valley quantity be 60 pounds
Using constant proportion
10 :3 is equivalent to 60: x
Using the law of ratio, we have
3/10 = x/60
Cross multiplying both sides, we have:
10x =180
Dividing both sides by 10, we have:
x = 180/10
x = 18 pounds
So the quantity of Arabia Mocha to be used is 18 pounds.
Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields
(2x+x)/2=489.....use inverse operations to yield
2x+x=978
Combine like terms to get
3x=978
Then divide by 3
To give you x=326
What does x tell you?
X= harry = 326
2x = Smith = 652
To check add them together and divide by 2 to get the average....489
The graph of vector v with an initial point at R (–19, 6) and terminal point at S (–35, 13). Option C; v = -16i + 7j represents the linear form of RS.
<h3>How to find the vector component?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
c
Given;
The graph of vector v with an initial point at R (–19, 6) and terminal point at S (–35, 13).
v = (-35 +19)i + (13 - 6)j
v = (-16)i + (7)j
v = -16i + 7j
Thus, Option C; v = -16i + 7j represents the linear form of RS.
Learn more about vectors;
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Answer:
y = -7/6 x + 55/6
Step-by-step explanation:
(1,8) and (7,1)
slope =(8-1)/(1-7) = 7/-6 = -7/6
Equation
y - 1 = -7/6(x - 7)
y - 1 = -7/6 x + 49/6
y = -7/6 x + 49/6 + 6/6
y = -7/6 x + 55/6