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3 years ago

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Please help me with this math problem.

1 answer:

devlian [24]3 years ago

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12 gallons of gas to travel 144 miles. Six gallons in the tank how much more will she need to travel 240

ira [324]

Solution:
Here:
On 12 gallons of gas 144 miles is travelled.
So, for 1 mile :
$\frac{12}{144} \: gallons \: of \: gas$
$= \frac{1}{12} \: gallons \: of \: gas$
is required.
Now,
for 240 miles:
$\frac{1}{12} \times 240$
$= 20 \: gallons \: of \: gas$
is required.
But, according to question, the tank only contains 6 gallons of gas. So, see needs more (20 - 6) gallons of gas [i.e. 14 gallons of gas].

5 0

3 years ago

Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at ne

quester [9]

Answer:

$y =log_e(x+3)$

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function $y$ has a natural log (Log with base $e$ ) of some terms of x.

It is given that asymptote of given curve is at $x= -3$ . i.e. when we put value

$x= -3$ , the function will have a value $y \rightarrow \infty$ .

We know that natural log of 0 is not defined.

So, we can say the following:

$log_e(x+a)$ is not defined at $x= -3$

$\Rightarrow x+a =0\\\Rightarrow x = -a$

i.e. $x =-a$ is the point where $y \rightarrow \infty$

a = 3

Hence, the function becomes:

$y =log_e(x+3)$

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

$y =log_e(-2+3) = log_e(1) = 0$

And y axis at 1.

Put x = 0, we should get y = 1

$y =log_e(0+3) = log_e(3) \approx 1$

So, the function is: $y =log_e(x+3)$

4 0

4 years ago

What is a equation for two-thirds a number plus 4 is 7

chubhunter [2.5K]

The equation is:
2/3n + 4 = 7

4 0

3 years ago

Read 2 more answers

Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of ga

Ivahew [28]

Answer:

400 x 0.3 = 120 miles

120 miles would be your answer

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

You are ordering planks of

Hoochie [10]

you need 10 8' planks of wood because 15x3= 45+9x4= 77, then 77÷8= 9.625, but you can't get .625 of a plank, so 10. hope you get a good grade!

7 0

3 years ago