Answer:
Her speed is 0.05 miles per minute
Step-by-step explanation:
The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:
0.5 miles in 10 minutes. So
0.5/10 = 0.05 miles per minute
Her speed is 0.05 miles per minute
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Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
Answer:
kg.
Step-by-step explanation:
Let S be amount of strawberries picked in the afternoon.
We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are
kg.
To find the amount of strawberries picked by Sheldon in the afternoon we will add
and
:
Upon converting our given mixed fractions into improper fraction we will get,

Now let us have a common denominator.


Therefore, Sheldon picked
kg of strawberries in the afternoon.
Answer:
<u>114 laps</u>
Step-by-step explanation:
Multiply 200 x 57% :
- 200 x 57%
- 200 x 57/100
- 2 x 57
- <u>114 laps</u>