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OlgaM077 [116]
3 years ago
8

Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. How many feet will she travel in 3 minutes

Mathematics
2 answers:
pashok25 [27]3 years ago
6 0
Selena traveled 0.6 miles in 3 minutes which is a total amount of 3,168 feet since one mile is equal to 5,280 feet. 

umka21 [38]3 years ago
6 0
Ratio and proportion

distance:time
given that it takes 15 minutes for 3miles
3mi:15min is the ratio

should be the same as the other
3mi:15min=?mi:3min

convert to fraction
3mi/15min=?mi/3min
1mi/5min=?mi/3min
times both sides by 3min
3min mi/5min=?mi
3mi/5=?mi
3/5mi=?mi

she will travel 3/5mi in  3mins
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Which one should I choose?
Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

m\angle 1=90^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

90^\circ+65^\circ+m\angle 2=180^\circ

155^\circ+m\angle 2=180^\circ

m\angle 2=180^\circ-155^\circ

m\angle 2=25^\circ

Therefore, the correct option is C.

7 0
3 years ago
Question Help
Talja [164]
Length:12 cm
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My work is shown in the picture. I hope this helps!

8 0
3 years ago
Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%
BaLLatris [955]
We're looking for an integrating factor \mu(x,y)=x^py^q such that

\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0

is exact, which would require that

(\mu M)_y=(\mu N)_x
(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x
49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q
\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4

You can verify that (\mu M)_y=(\mu N)_x if you'd like. With the ODE now exact, we have a solution F(x,y)=C such that

F_x=\mu M
F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx
F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)

F_y=\mu N
50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4
f'(y)=0
\implies f(y)=C

and so the general solution is

F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C
8 0
3 years ago
Work out the following giving your answer in its simplest form . 2 1/3 divide 1/4
Nana76 [90]

Answer:

\frac{28}{3}

Step-by-step explanation:

2\frac{1}{3}=\frac{7}{3}

\frac{7}{3}*4=\frac{28}{3}

6 0
3 years ago
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Find the perimeter of a train of 100 equilateral triangles if the triangles are joined side to side. Each side is one inch long.
yarga [219]

Answer:

102

Step-by-step explanation:

Each triangle will have a perimeter of 3. When joined, the outside triangles will have 2 sides showing, or 2 inches. The middle 98 will only have one free side, or one inch. This means that 98*1 + 2*2 = 102

7 0
3 years ago
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