Which of the following algebraic expressions represents the sum of 7 and one-fifth of x?
1 answer:
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Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...
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The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.
Answer:
804 feet
Step-by-step explanation:
Given: Dimension of a basketball court is 84 feet by 50 feet.
Considering the shape of basketball court is in rectangle shape.
∴ Finding the perimeter of rectangle to know total number of feet in one round.
Perimeter of rectangle=
where, l= length
w= width
∴ Perimeter of rectangular court=
⇒ Perimeter of rectangular court=
Opening parenthesis
⇒ Perimeter of rectangular court=
Hence, Brett run 268 feet in one round of warm up.
As given, Brett ran around the court 3 times.
∴ Total number of feet=
Hence, Brett jog for 804 feet.