Answer:
The solution is x=1,y=2,z=3
Step-by-step explanation:
The given system of equations is ;\
2x−3y+4z=8...(1)
3x+4y−5z=−4...(2)
4x−5y+6z=12...(3)
Make x the subject in equation (1)
Put equation (4) into equation (2) and (3)
Multiply through by;
Expand;
Simplify;
Equation (4) in (3)
Put equation (6) into equation (5)
z=3
Put z=3 into equation (6)
y=2(3)-4=2
Put y=2 and z=3 into equation 4
The solution is x=1,y=2,z=3
Answer:
a = 5
b = 1.3
c = 6.3
Step-by-step explanation:
To find the values of a, b and C respectively, let's find a first by recalling that the diagonals of a rhombus are perpendicular to each other.
Therefore, the angle given as (14a + 20) = 90°
Solve for a
14a + 20 = 90
14a = 90 - 20
14a = 70
a = 70/14
a = 5
==>To find b, also recall that all sides of a rhombus are equal.
Therefore 3b + 4 = 13b - 9
Solve for b
4 + 9 = 13b - 3b
13 = 10b
13/10 = b
b = 1.3
==>Find value of c
c = a + b
c = 5 + 1.3
c = 6.3
Answer:
$7.58/lb
Step-by-step explanation:
raw roast: $5.99 per lb
deli roast: $2.99 for 100g
We know the price per lb of the raw roast.
Let's find the price per lb of the deli roast.
1 lb = 454 grams
454 grams / 100 grams = 4.54
1 lb is 4.54 times 100 g
If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.
$2.99/lb * 4.54 = $13.57/lb
raw roast: $5.99/lb
deli roast: $13.57/lb
difference in price of 1 lb: $13.57 - $5.99 = $7.58
Answer: $7.58/lb
This would be modeled by a translation 1 unit down and a 270° clockwise rotation.
Each of these points has the x and y values switched, with the y value one less than that of the preimage and negated. Taking one off the y-value is a translation 1 down; negating the y and switching it and x is a 270° clockwise rotation.
Answer:
750
Step-by-step explanation: