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Morgarella [4.7K]
3 years ago
14

1/15.999=x/54.5 Does anyone know what to do? I keep getting the answer wrong.

Mathematics
2 answers:
kkurt [141]3 years ago
8 0
Hello!

First, let's write the problem.
\frac{1}{15.999}=\frac{x}{54.5}
Let's switch sides now, otherwise, we are going to end up doing it later.
\frac{x}{54.5}=\frac{1}{15.999}
Multiply both sides by 54.5.
\frac{x}{54.5} *54.5 =\frac{1}{15.999}*54.5
We could also rewrite that as,
\frac{54.5x}{54.5}=\frac{1\cdot \:54.5}{15.999}
Simplify.
\frac{54.5x}{54.5}=x
\frac{1\cdot \:54.5}{15.999}=\frac{54.5}{15.999}
x=3.40646\dots
That would be our final answer, we could round it to.
x ≈ 3.40

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish
Degger [83]3 years ago
3 0
Hi Ballentinesavannah I'm going to show u my work of how I got the answer.

0.062504 = x/54.5
0.062504 * 54.5 = x
3.406463 = x
switch it

Answer: x = 3.406463

In order to get the answer I will explain it to u step by step : simplify 1/15.999 to 0.062504, multiply both sides by 54.5, then multiply 0.062504 * 54.5 so it can equal 3.406463.
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To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

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3 years ago
Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde
zzz [600]
T=650mi(hr/50mi)=13 hr

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3 years ago
1) Which one of these four numbers has the greatest absolute value? (SELECT ONE answer)70-11-7
GalinKa [24]

Answer:

70

Step-by-step explanation:

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7 0
3 years ago
An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i
Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = \sqrt{(15-x)^2+1^2}

The total time, 't', is given as follows;

t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}

The minimum value of 't' is found by differentiating with an online tool, as follows;

\dfrac{dt}{dx}  = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} =  \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }

At the maximum/minimum point, we have;

\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89

Therefore, the distance to run, x ≈ 14.96 mile

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3 years ago
Complete the remainder of the table!!!! Please help
bonufazy [111]

Answer:

(From left to right) 2, 4, 6, 8.

Step-by-step explanation:

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3 years ago
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