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natima [27]
3 years ago
10

Which expression is equal to 13/14 14−13 13−14​ 14 ÷ 13 13 ÷ 14

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

Answer: 13÷14 is equal to 13/14

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A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴   s = \frac{42}{14}

I,e s = 3 miles per hour

So, The speed of biker = S_2 = s = 3 miles per hour

And The speed of cyclist = S_1= 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

4 0
3 years ago
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
natulia [17]

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
1 year ago
Someone please help or i’ll be failing geometry this year
Vlad [161]

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

4 0
2 years ago
How do you solve 5x + y=9
satela [25.4K]

Answer:

Are you graphing?

Step-by-step explanation:


3 0
3 years ago
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generat
Scorpion4ik [409]

Answer:

I would divide 50 by 4 (Because there are usually 4 weather conditions in game) and whichever the number is closest to it would pick that weather condition

8 0
2 years ago
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