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Igoryamba
3 years ago
11

Emily is entering a bicycle race for charity. Her mother pledges $1.50 for every mile. If Emily bikes 14 miles, how much will he

r mother donate?
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

22.50

Step-by-step explanation:

if one mile is 1.50 then just do 1.50*14 which gives you 22.50

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A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
nasty-shy [4]

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

string vibrates form =  8 loops

in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = \rho

case (1)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

so here

l = \frac{8 \lambda _1}{2}      ..............1

l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}

and we know velocity is express as

velocity = frequency × wavelength   .....................2

\sqrt{\frac{Tension}{mass\ per\ unit \length }}   =   f × \lambda_1

here tension = mg

so

\sqrt{\frac{mg}{\mu}}   =   f × \lambda_1     ..........................3

and

case (2)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

l = \frac{10 \lambda _1}{2}      ..............4

l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}

when block is immersed

equilibrium  eq will be

Tenion + force of buoyancy = mg

T + v × \rho × g = mg

and

T = v × \rho - v × \rho × g    

from equation 2

f × \lambda_2 = f  × \frac{1}{5}  

\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}     .......................5

now we divide eq 5 by the eq 3

\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}

solve irt we get

1 - \frac{\rho _{stone}}{\rho _{water}}  = \frac{16}{25}

so

relative density \frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

3 0
4 years ago
4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!
Hunter-Best [27]
To find the answer:
4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x =  - 5.8 + 3.2 \\ 0.2x =  - 2.6 \\ x =   - \frac{ 2.6}{0.2}  \\ x =  - 13

Therefore, x=-13.

Hope it helps!
5 0
3 years ago
Read 2 more answers
PLZZZZZZZzzz help i dont get it
Anna71 [15]
4/5-3/7. First they need the same denominater: 4/5(7)=28/35, 3/7(5)=15/35. 28/35-15/35. Now subtract numerators: 28-15=13. So your answer H. 13/35 :)
6 0
4 years ago
Read 2 more answers
A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is
Digiron [165]
5*0.6=3
3*0.6=1.8
1.8*0.6=1.08

5+(3*2)+(1.8*2)+(1.08*2)=16.76 ft
8 0
3 years ago
Read 2 more answers
n the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increas
aleksley [76]

Answer:

12.5%

Step-by-step explanation:

900 - 800 = 100

Gotta pay $100 more

100 / 800 = 0.125

4 0
2 years ago
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