Answer:
Explanation:
1. x represent the copybook while y represent the pen that is bought.
2. 2x + 3y = 9000 means that in order to buy 2 copybooks and 3 pen you have to pay 9000 LL.
3. Solve for the price of x and y
2x + 3y = 9000 (1)
4x + 2y = 8000 (2)
Multiply (1) by -2:
-2(2x + 3y = 9000)
4x + 2y = 8000
——————————
-4x - 6y = -18000
4x + 2y = 8000
—————————
-4y = -10000
y = -10000/-4
y = 2500
Substitute y value into (2):
4x + 2(2500) = 8000
4x + 5000 = 8000
4x = 3000
x = 3000/4
x = 750
Therefore, 1 copy book = 750LL and 1 pen = 2500 LL
Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2
Answer:
Hi There!
Your answer is :
He ran 43.75% so far.
Step-by-step explanation:
16 laps = GOAL
350* 16 to determine goal yards
16laps = 5,600yrds
1 lap= 350 yrds
xlaps = 2450 yrds
2450/350 to determine x laps.
7 laps = 2450 yards
He is 2450 yards into his 5,600 yard goal.
IF 5,600 = 100%
/5600
1 yard = 1/56th %
* 2450
2450yards = 43.75%
Hope this helps
X^2 -6x +1 = 0
a=1
b = -6
c = 1
Use the quadratic formula
x = [-b +- sq root (b^2 -4ac)] / 2a
x = [--6 +- sq root (36 - 4)] / 2
x = [ 6 +- sq root (32)] / 2
sq root (32) = 5.657
x1 = [ 6 + 5.657] / 2
x1 = 11.657 / 2
x1 =
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5.8285
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x1 = 5.82 (to nearest tenth)
x2 = [ 6 - 5.657] / 2
x2 = .343 / 2
x2 = .1715
x2 = .2 (to nearest tenth)