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sasho [114]
3 years ago
7

PLEASE HELP

Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

v=2 s=5

Step-by-step explanation:

a) v=volleyball s=soccer

s × v = 7

" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v

b) substitute equation for soccer for s

(1 + 2v) + v = 7

solve for v

1 + 3v = 7   (2v + v = 3v; that's where the 3v comes from)

we subtract 1 from both sides

3v = 6

we divide 3 from both sides

v=2

solve for s

since we know what v equals, we substitute it in

s + 2 =7

subtract 2 from both sides

s = 5

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Morgarella [4.7K]

\text{mass of freight train} = 9.98 \times  {10}^{6} kg

\text{mass of aircraft carrier} = 7.3 \times  {10}^{7}  \: kg

\text{difference of masses of aircraft and train: } \\  \\ 7.3 \times  {10}^{7}  - 9.98 \times  {10}^{6}  \\  \\  = 73 \times  {10}^{6}  - 9.98 \times  {10}^{6}

= (73 - 9.98 )\times  {10}^{6}  \\  \\  = 63.02 \times  {10}^{6}  \\  \\  = 6.302 \times  {10}^{6}  \: kg \\  \\  \approx 6.3 \times  {10}^{6}  \: kg

Approximately, aircraft carrier is 6.3 × 10^6 kg heavier than the freight train.
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We're told (5,-2) is on the line, that's x=5, y=-2


First one y-5 = -7, (x+2)/3=7/3, not equal


Second one y+5=3, (x-2)/3=1, not equal


Third one y+2=0, (x-5)/3=0, TRUE, equal


Fourth one, y-2=-4 (5+5)/3=10/3, not equal



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