Let the weights of the cashews and peanuts be c and p respectively. Then:
c + p = 10 lb.
The related cost equation is 5.80c + 2.20p = 3.64(c+p).
Because c + p = 10 lb, the previous equation is equivalent to:
5.80c + 2.20p = 3.64(10) = 36.40
Solving c + p for c, we get c = 10 - p. Then, the last equation becomes:
5.80(10-p) + 2.20p = 36.40, or 58 - 5.8p = 36.4. Solving for p:
-5.8p = 36.4 - 58, or -5.8p = -21.6. Finally, p = 3.72 lb.
Since c + p = 10 (lb), c = 10-3.72 (lb), or c = 6.28 lb.
He must make this 10-lb mixture as follows: 6.28 lb of cashews and 3.72 lb of peanuts.
Your answer is roughly 4.92 units, or √24.25 .
To find the length of line PQ, we need the coordinates of P and Q, and then we can use Pythagoras's theorem to find the distance between them. Because we know that PQ is a midsegment of triangle ABC, and also that it's parallel to BC, the coordinates of P and Q must be the midpoints of the lines AB and AC in the triangle.
To find a midpoint of a line, you add up the x coordinates and then half the result, and then add up the y coordinates and half the result. This means the midpoint of line AB is ( (8+1)/2, (6+1)/2 )= (4.5, 3.5). We can then label this point Q.
The midpoint of line AC is therefore ( (8+10)/2, (6-3)/2) = (9, 1.5). We can label this point Q.
Now to find the length of PQ, we can use Pythagoras's theorem. First we need to find the difference between the x coordinates and y coordinates of P and Q to be the legs of the right-angled triangle. These will be (9 - 4.5) = 4.5 for the base, and (3.5 - 1.5) = 2 for the height.
Thus, the length of PQ is √(2² + 4.5²) = √(4 + 20.25) = √24.25 . This is roughly equal to 4.92.
I hope this helps! Let me know if you have any questions :)
Answer:
Car A ⇔ 50 mph
Car B ⇔ 60 mph
Car C ⇔ 55 mph
Step-by-step explanation:
The equation of the proportionality is y = m x, where m is the constant of proportionality we can find it by using the initial values os x and y or by the rule of the slope of a line m = 
Let us find the constant of proportionality of each car
Car A
∵ The line in the figure passes through points (0, 0) and (1, 50)
∴ x1 = 0 and y1 = 0
∴ x2 = 1, y2 = 50
→ By using the rule of the slope above
∵ m = 
= 
∴ m = 50
∴ The constant of proportionality of car A is 50 mph
Car B
∵ The equation of proportionality is y = m x
∵ From the given table at x = 1, y = 60
→ Substitute them in the equation to find m
∴ 60 = m (1)
∴ 60 = m
∴ m = 60
∴ The constant of proportionality of car B is 60 mph
Car C
∵ The equation is y = 55x
→ Compare it with the form of the equation of the proportionality
∵ y = m x
∴ m = 55
∴ The constant of proportionality of car C is 55 mph
Answer:
Step-by-step explanation:
7+5b²-2a²+7b²+66-20a-3
first collect like terms
5b²+7b²-2a²-20a+7-3
12b²-2a²-20a+4
hope it's helpful
THANK YOU.
Answer:
42°(C)
Step-by-step explanation:
That is a right angle which means the sum of angles is 90°
So,we have x+48°=90°
x=90°-48°
x=42°
