Use Inverse Operations to solve.Check Your Answer 17 + k = 54

2 answers:

8 0

When you do the inverse operation which in this case would be subtraction you do 54-17 and then you do 17 minus 17 which leaves you with the variable 54-17=34 so k=34

jarptica [38.1K]3 years ago

7 0

To figure out k you have to take away 17 from both sides and then you will be left with only 37 because 54-17=37 so then on the other side you'd be left with k=37 which is therefore your answer

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Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756

horsena [70]

Answer:

Plane = 441 mi/h; wind = 63 mi/h

Step-by-step explanation:

distance = rate × time

Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

p - w = speed against wind

We have two conditions:

(1) 756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants (3) 756 = 2p - 2w

(4) 756 = 1.5p + 1.5 w

Multiply Equation (3) by 3 (5) 2268 = 6p - 6w

Multiply Equation (4) by 4 (6) 3024 = 6p + 6w

Add Equations (5) and (6) 5292 = 12p

Divide each side by 12 (7) p = 441 mi/h

Substitute (7) into Equation(3) 756 = 882 - 2w

Add 2w to each side 2w + 756 = 882

Subtract 756 from each side 2w = 126

Divide each side by 2 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5

756 = 378 × 2 756 = 504 × 1.5

756 = 756 756 = 756

8 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!

Diano4ka-milaya [45]

The right answer is B.

5 0

2 years ago

How to substitute x=-2 and x=5 into 2x^2+6-20=0 to check my work

Komok [63]

First answer (x=-2)
...
(2)[(-2)^2]+6-20
2(4)+6-20
8+6-20
14-20
-6 (answer)

Second answer (x=5)
...
(2)[(-5)^2]+6-20
2(25)+6-20
50+6-20
56-20
36 (answer)
Hope this helps!