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I am Lyosha [343]

2 years ago

9

Gene has a gasoline budget of $225 per month. He uses an average of $6 of gasoline each day he drives. Which of the following eq

uations represents how much money is left in his gasoline budget after x days of driving?

1 answer:

worty [1.4K]2 years ago

5 0

225 - 6x I'm not quite sure but I hop this helps

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cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

<u>We know that,</u> $Time = \frac{Distance}{Speed}$

So, <u>the time of driving in clear weather</u> $=\frac{50}{x}$ hours

and <u>the time of driving in thunderstorm</u> $=\frac{16}{x-18}$ hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

<em>We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

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Tobie Invest $25 in a bank account where the interest is compounded at 4% every year. He makes no withdrawals or deposits. the f

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The principal is $25 and the rate is 4%.

So after t years: A(t) = 25(1.04)^t

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Read 2 more answers

Based on the figure, select all true equations

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Answer:

a) no

b) true

c) true

d) no

e) true

f) true

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2 years ago

Julia sells subs for $6 each. How many subs will she need to sell to break even each month based on the costs listed below?

andrey2020 [161]

Answer:

2777.7777... subs

Step-by-step explanation:

11000+400+1300+300=13000

6-1.32=4.68

13,000/4.68

=2777.777777...

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1 year ago

What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3

il63 [147K]

Answer:

y + 7 = - $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - $\frac{2}{3}$ and (a, b) = (1, - 7), thus

y - (- 7) = - $\frac{2}{3}$ (x - 1), that is

y + 7 = - $\frac{2}{3}$ (x - 1) ← in point- slope form

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