Answer:
16+5w
Step-by-step explanation:
2(5 + w) + 3(w + 2)
5+w evaluates to 5+w
Multiply 2 by 5+w
we multiply 2 by each term in 5+w term by term.
This is the distributive property of multiplication.
Multiply 2 and 5
1
2 × 5 = 10
Multiply 2 and w
Multiply 1 and w
The w just gets copied along.
w
2 × w = 2w
2*(5+w) evaluates to 10+2w
w+2 evaluates to w+2
Multiply 3 by w+2
we multiply 3 by each term in w+2 term by term.
This is the distributive property of multiplication.
Multiply 3 and w
Multiply 1 and w
The w just gets copied along.
w
3 × w = 3w
Multiply 3 and 2
1
3 × 2 = 6
3*(w+2) evaluates to 3w+6
To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
10 + 6 = 16
2w + 3w = 5w
The answer is 16+5w
2*(5+w)+3*(w+2) evaluates to 16+5w
The final answer is
16+5w
Answer:
The scale factor of this dilation is 1/2
Step-by-step explanation:
Answer:
Both flights approach each other at a speed of 624.70 Knots. The FAA minimum separation is not violated as both airplanes are 7.26 Nautical miles away from each other at the time when one of the flights( flight AA) passes through Frada Heights.
Step-by-step explanation:
To solve this kind of problem, the knowledge of concept of relative velocity is needed as the first question requested how fast the flights were approaching each other. To find the minimum distance between both flights, the closest point of approach between both flights should be taken into consideration which was Frada heights. Flight AA passes through Frada Heights in a shorter time of 0.079 hours. This is the time at which both flights approach each other the closest and so the minimum distance (separation) between them. This was calculated to be 7.26NM which is greater than the FAA's minimum this requirement for flight was not violated.
Detailed calculation steps can be found in the attachment below.
131 3/4 ⇒ 115 5/8 ⇒ 5 2/3
Subtract 131 3/4 by 115 5/8.
131 3/4 ⇒ 131 6/8
131 6/8 - 115 5/8 = 16 1/8
Now add 16 1/8 + 5 2/3 and this will give you how much weight she lost in all.
16 1/8 ⇒ 16 3/24
5 2/3 ⇒ 5 16/24
16 3/24 + 5 16/24 = 21 19/24
Felice lost 21 19/24 pounds in all.
Answer:
90
Step-by-step explanation:
10! / (10 - 2)!
=10!/8!
=10 * 9 * 8! /8!
=90 * 8!/8!
90
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