What ratio is equivalient to 10/55

Susan rides her bicycle 5 miles in 2/5 of an hour .at this rate how many miles could she ride in 2 hours

Oksi-84 [34.3K]

Divide 5 by 2 = 2.5 per 1/5 an hour
there are 10 of 1/5 an hour in 2 hours
so 10 X 2.5 = 25 miles in 2 hours

6 0

3 years ago

Read 2 more answers

2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B

inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

2. BC= 5x+2 where x is 5

5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

6 0

3 years ago

PQ is parallel to RS. The length of RP is 4cm; the length of PT is 16cm; the length of QT is 20cm. What is the length of SQ?

Step2247 [10]

Hello,

Using the theorem of Thalès,
PR/TP=QS/TQ==>QS=4*20/16=5

Answer A

3 0

2 years ago

Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the

LenKa [72]

Answer:

3x - y = 1

Step-by-step explanation:

This will be the same equation written in a different way'

The original equation is:

y = 3x - 1

0 = 3x - y - 1

3x - y = 1.

3 0

3 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago