Answer:
5
Step-by-step explanation:
............................
For problems like these, it's very helpful for looking at key words. 'How many more' suggests that one value is greater than the other by a certain amount, which means subtraction. Let's do the same for this equation.
If 165 is m greater than 130, then this means .
This will also mean that m is 130 less than 165. To solve this, isolate the variable and subtract 130 from both sides:
We will end up with m = $35. To prove this, plug 35 into the m value as shown below:
, so the answer is $35 more is needed.
Answer:
Step-by-step explanation:
(a)
For the quadratic equation of the form ,
The discriminant is given as:
Simplifying the given quadratic equation:
[(x-7)^2] - 62 = 19
∴ (x^2) - 14x + 49 = 81
∴ (x^2) - 14x - 32 = 0
Comparing with the standard form of quadratic equation:
a = 1; b = -14; c = -32
∴ Discriminant = (b^2) - 4ac = 196 + 128 = 324
Since Discriminant > 0,
The roots will be real and distinct.
(b)
This equation can be factored as:
(x - 16)(x + 2) = 0;
∴ x = 16 ; x = -2, are the two roots of the equation.
t - time, d - distance, v - speed
Let x be Jaime's normal rowing speed.
The wind adds 2 miles per hour to her speed when she is rowing with the wind - so her speed is x+2, and she can row 60 miles at that speed in time t.
The wind subtracts 2 miles per hour from her speed when she is rowing against the wind - so her speed is x-2, and she can row 48 miles at that speed in the same time t.
Set the expressions for t equal to each other:
Jaime's normal rowing speed is 18 miles per hour.
You look at the decimal place next to the hundredth one. In this case, it’s 4 so you round down
18.19 is the answer