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muminat
2 years ago
14

Solve 6/10 times 1.7 =

Mathematics
1 answer:
Natasha2012 [34]2 years ago
4 0

Answer:

1.02 or 51/50

Step-by-step explanation:

First we convert the fraction 6/10, as a decimal

6/10 = 0.6

Then we simply multiply

1.7 × 0.6 = 1.02

Lastly we reduce

1.02 = 1 2/100 or 51/50

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If x+y=z and z=x+4,then x+y=x+4
lidiya [134]
That is true because as you can see in the other 2 equations, they both have z on one of the sides meaning that the sides that don't have z are equal to each other

Hope this helps :)
3 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

6 0
2 years ago
I would like to know what the axis of symmetry is for this question
scZoUnD [109]

Answer:

x = –4

Step-by-step explanation:

x = –koef x / (2•koef x²)

8 0
3 years ago
Find the value of x. Then the measure of each angle
Shtirlitz [24]
The interior angles of a triangle must add to 180 degrees.

110+5x+2x=180
110+7x=180
7x=70
x=10

Then plug in the x value into each angle expression
5(10)=50 degrees
2(10)=20 degrees
4 0
3 years ago
Can someone solve this equation -101=7+3(-4t4n)
alex41 [277]
The answer should be n=-8
5 0
3 years ago
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