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3 years ago

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A cell phone plan costs $200 to start. Then there is a $50 charge each month. Is there a proportional relationship between time

and the cost of the cell prone plan? Explain how you know?

1 answer:

xxMikexx [17]3 years ago

8 0

Answer:

.

Step-by-step explanation:

The equation is

y = 200+50x

This is not a proportional relationship because it does not go through the origin

If x=0, y does not equal 0

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A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

3 years ago

Can anyone check my answer?

MA_775_DIABLO [31]

I mean, it depends what type of math you're doing but I can try!

5 0

3 years ago

Use Place Value to Name Whole Numbers in the following exercises (4th,5th 6th questions below), name

Temka [501]

Naming each number in word with the use of place value to name whole numbers: we have;

<em>4. Five hundred and twenty-five thousand, Six hundred minutes.</em>

<em>4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.</em>

<em>4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.6. Eighteen thousand, five-hundred and fourty-nine thousand dollars.</em>

Using place value to name whole numbers involves orderly naming the numbers from right to left from unit, tens, hundreds, thousands, ten thousands and so on.

Ultimately, the naming of the numbers is as done above.

Read more:

brainly.com/question/18829057

8 0

3 years ago

A young child throw a ball upwards with an initial velocity of 20 feet/second. The height of the ball (in feets) after t seconds

Levart [38]

If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.

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3 years ago

How many 1-centimeter squares fit along the length of the rectangle

Damm [24]

It would depend on how large the rectangle is

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