Let m be the distance (in miles) she runs in a month
and w be the distance (in miles) she runs in a week
since the total distance she run in a week is one third of what she run in a month, in equation form
w = m/3
to calculate the distance she run in a month,
m = 3w
m = 3(6 miles)
m = 18 miles in a month
Answer:
4 in. wide
Step-by-step explanation:
20/5=4
4x=16
4x/4=16/4
x=4
Answer:
(2x+3)(x - 1)
Step-by-step explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)
Answer:
$5.40
Step-by-step explanation:
The word <em>percent</em> literally means "for each 100," and we can use this vocab fact to help us answer a question like "what is 1.8 <em>percent </em>of $300?" We have 1.8 <em>for each 100</em> in 300, and since there are 3 hundreds in 300, that means we're going to be counting 3 1.8s, which gets us 1.8 × 3 = 5.4. Since our unit is <em>dollars</em> this comes out to $5.40.
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