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2 years ago

Answer this problem. 3⁄14 ÷ 2⁄7 = ?

Mathematics

2 answers:

vladimir2022 [97]2 years ago

8 0

Answer:

3/4

Step-by-step explanation:

3/14 ÷ 2⁄7

Copy dot flip

3/14 * 7/2

We rewrite

3/2 * 7/14

Canceling a 7 from 7 and 14

3/2 * 1/2

Multiplying straight across

3*1 =3

2*2=4

3/4

Darya [45]2 years ago

3 0

For this case we must solve the following expression:

$\frac {\frac {3} {14}} {\frac {2} {7}} =$

Applying double C we have:

$\frac {3 * 7} {14 * 2} =\\\frac {21} {28} =$

for simplify we divide the numerator and denominator by 7, then we have:

$\frac {\frac {21} {7}} {\frac {28} {7}} =\\\frac {3} {4}$

In decimal form we have to:

$\frac {3} {4} = 0.75$

Answer:

$\frac {3} {4} = 0.75$

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An airplane flies with a constant speed of 620 miles per hour. How long will it take to

LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0

2 years ago

In (225/210)=10k. what is k

Alex

The answer you want is k = 0.107

6 0

3 years ago

What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mashutka [201]

The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.

4 0

3 years ago

Can someone help me? I need question #23

weqwewe [10]

Answer:

x = 3; y = 11

Step-by-step explanation:

A parallelogram has two pairs of congruent opposite sides. For quadrilateral ABCD to be a parallelogram, sides AB and CD must be congruent, and sides AD and BC must be congruent.

AB = CD

2y + 2 = 3y - 9

-y = -11

y = 11

AD = BC

3x + 6 = y + 4

We already know y = 11, so we substitute 11 for y.

3x + 6 = 11 + 4

3x + 6 = 15

3x = 9

x = 3

Answer: x = 3; y = 11

8 0

3 years ago

The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr

-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the y-intercept (s-intercept) in this case is 6. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is no x-intercept (t-intercept). It means that there is not a single year when the number of shirts sold is 0.

(PART B): As you can see in the graph (attached with the question) that the f(t) is increasing (exponentially) with the increase in t. Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."

(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = $\frac{y_2 - y_1}{x_2 - x_1}$ --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = $\frac{22-12.5}{7-5} = 4.75$

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).

(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in hundreds. It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

$g(t) = f(t) + 10$ --- (Y)

Why did I add f(t)? Because in the question, the word "and" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

$g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15$

Hence, g(t) is $(1.5)^t + 15$

8 0

3 years ago

Read 2 more answers