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Anna11 [10]
2 years ago
15

HELP!

Mathematics
1 answer:
Contact [7]2 years ago
3 0

This is about changing subject of formula.

<u><em>1) Option D</em></u>

<u><em>2) Option B</em></u>

<u><em>3) Option C</em></u>

<u><em>4) Option C</em></u>

<u><em>5) Option B</em></u>

  • 1) \frac{2}{3}x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by \frac{3}{2}.

Option D is correct

  • 2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

  • 3)  S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

  • 4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved  $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

  • 5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x \leq 250

11x \leq 250 - 35

11x \leq 215

x \leq 215/11

x \leq 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

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