Answer:
Answer is 79 and 28
Step-by-step explanation:
Let two numbers be x and y.
x + y = 107. --> 1
x - y = 51 -->2
solving above equations,
2x = 158
x =79
y = 28
Please equate 2x^2 -8x -90 to zero: <span>2x^2 -8x -90=0
Next, reduce </span>2x^2 -8x -90=0 by div. all terms by 2: x^2 -4x -45=0
Next, factor the poly: (x-9)(x+5) = 0
Set each factor = to 0 and solve for x:
x-9=0 => x=9
x+5=0 => x= -5
she can read a total of 0.83 pages a minute if she reads at the pace she was reading at because if you take the amount of pages she read (7.5) and you divide by the amout of minutes read (9) then you can see if she read at a constant rate she would read 0.83 pages a minute
Answer:
t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Step-by-step explanation:
Solve for t:
4.9 t^2 - 2.78 t - 1.15 = 0
4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:
(49 t^2)/10 - (139 t)/50 - 23/20 = 0
Multiply both sides by 10/49:
t^2 - (139 t)/245 - 23/98 = 0
Add 23/98 to both sides:
t^2 - (139 t)/245 = 23/98
Add 19321/240100 to both sides:
t^2 - (139 t)/245 + 19321/240100 = 75671/240100
Write the left hand side as a square:
(t - 139/490)^2 = 75671/240100
Take the square root of both sides:
t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Answer:
Step 1: Combine like terms
Step 2: Distributive Property
Step 3: Addition Property Of Equality
Step 4: Multiplication property of equality
Step 5: Division property of equality
Step-by-step explanation:
