Mike and Lilly are working together on a science project. They agreed to

meet halfway between their houses and ride their bikes to the library

together. Approximately how far will Mike and Lilly ride to the library once

they meet each other at the halfway point?

Answer:

280 men; 80 women.

Step-by-step explanation:

this task can be solved used system of two equation (note, it is not the only and shortest way):

1) if number of men is 'm', women is 'w' and ratio is 7:2, then it is possible to write the first equation: m/w=7/2;

if together there are 360, then it is possible to write the second equation of the system: m+w=360.

2) after item 1 it is possible to make up and solve the system:

[tex]\left \{ {{m/w=7/2} \atop {m+w=360}} \right. \ => \ \left \{ {{7w=2m} \atop {m+w=360}} \right. \ => \ \left \{ {{m=280} \atop {w=80}} \right.[/tex]

Answer:

35

Step-by-step explanation:

Its 34.85685 but simplifies to 35.

Answer:

[tex]99\sqrt{15} \thickapprox \:383.42535[/tex]

Step-by-step explanation:

[tex]11\sqrt{1215}[/tex]

Factor [tex]1215[/tex] [tex]=9^{2} \times 15[/tex]. Rewrite the square root of the product [tex]\sqrt{9^{2} } \sqrt{15}[/tex], than take the square root of [tex]9^{2}[/tex].

[tex]11\times 9\sqrt{15}[/tex]

Multiply 11 and 9 which will give you 99.

[tex]99\sqrt{15}[/tex]

_________________________

Answer:

         -4

3 × 10

Step-by-step explanation:

Answer:601.85

Step-by-step explanation:

-3/4 is the slope.

Good luck!

Answer:

M=3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] - 23x(x + 3) \\ { - 23x}^{2} - 69x \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: nd \:and \: happy[/tex]

Answer:

[tex]-23x^{2} -69x[/tex]

Step-by-step explanation:

Using the distributive property:

[tex]-23x(x+3)[/tex]

You will multiply both the x and the 3 inside the parantheses by the -23x outside.

[tex]-23x[/tex] · [tex]x = -23x^{2}[/tex]

Then:

[tex]-23x[/tex] · [tex]3 = -69x[/tex]

If you combine both you will recieve:

[tex]-23x^{2} -69x[/tex]

Answer:

15 minutos or

⁵/¹⁰ hour......

Step-by-step explanation:

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Answer:

1/2 hour

2/5=4

x=5

Then cross-multiply

4x=2

x=1/2

Answer:

50.75 x 25 = 1268.75 pounds

Answer:

B) 1,268.75 pounds

Step-by-step explanation:

Multiply the numbers: 50.75 * 25 = 1,268.75

Answer:

I really like helping people so can you take this app more seriously ..?

Step-by-step explanation:

Answer:

The answer is 47.

Step-by-step explanation:

You multiply 5×14 which is 70, and then you take 23 from 70 which is 47

Answer:

0.4 or 4/10

Step-by-step explanation:

3. 2 5 4

-- x -- = -- = --

5 3 8 10

Answer:

The 2nd answer is the correct

Step-by-step explanation:

Hope this helps:)

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

Let assume that

[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

We know,

[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]

Now, we use Method of Substitution, So we substitute

[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]

So, above expression can be rewritten as

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]

[tex]\rm\implies \:y = 2z[/tex]

[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]

So,

[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]

Thus,

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

[tex]\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2}{1 + {x}^{2} } [/tex]

Hence,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]

Hence, Option (d) is correct.

Answer:

Step-by-step explanation:

Answer:

m = 1/4

Step-by-step explanation:

Remember to use y = mx + b

No, they are not relatively prime.

Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

Answer:

150

Step-by-step explanation:

60 minutes = 1 full rotation,

In 25 minutes, we have 25/60 rotation,

25/60 *360

150

Answer:

c

Step-by-step explanation:

Answer:

distributive property says x(a+b)

= xa+xb

so 5(n-3)

= 5n-15

Answer: 5n-15

Step-by-step explanation: 5(n-3). multiply n by 5 and -3 by 5 to get 5n-15

2/25

Step-by-step explanation:

[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]

San ine to you bhai account and I will

Answer:2 and 10

Step-by-step explanation:

Answer:

∠3 = 95°

∠4 = 85°

Step-by-step explanation:

Angle 3 and the angle that is already given are Corresponding angles meaning they will be equal.

Angle 3 and Angle 4 are Supplementary angles so their degrees add up to 180°.

Hope this helps!

Answer:

•26 cm to S1

Step-by-step explanation:

I KNOW IT THAT ANSWER