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ycow [4]
3 years ago
7

Erica treated her sister to lunch while visiting her in Lowell. Their lunch cost $60, and the sales tax in Lowell is 5%. If Eric

a left a 20% tip on the $60, how much in total did she pay?
Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

Erica payed a total of $75

Step-by-step explanation:

Step 1: Determine total lunch cost

Total lunch cost=$60

Step 2: Calculate total sales tax

Total sales tax=tax rate×total lunch cost

where;

tax rate=5%

total lunch cost=$60

replacing;

Total sales tax=(5/100)×60=$3

Total sales tax=$3

Step 3: Cost of tip

Cost of tip=20% of 60=(20/100)×60=$12

Step 4: Total she payed

Total she payed=Cost of tip+total sales tax+total lunch cost

where;

Cost of tip=$12

total sales tax=$3

total lunch cost=$60

replacing;

Total she payed=(12+3+60)=$75

Erica payed a total of $75

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Jackie has a square wall that she covered using 130.5 square feet of fabric without any overlap . Whic measurement is closest to
dem82 [27]

Answer:

32.625

Step-by-step explanation:

a square has all equal side so u divieded the amount of she used by 4

5 0
3 years ago
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
3 years ago
2. Determine which form of a line the given equation is in. Then, determine the slope and y-intercept.
xxMikexx [17]

Answer:

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5 0
3 years ago
HELP PLEASE!!! I am doing my math and I need someone to help me with this problem. I am very confused and my family is gone on a
yanalaym [24]

Answer:

1) 250 meters= 0.25 km

2) 12 meters=  0.012km

3) 1 meter= 0.001 km

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4 0
3 years ago
Write 0.05 as a fraction. A) 1 12 B) 1 15 Eliminate C) 1 18 D) 1 9
zheka24 [161]

x=0.0\overline{5}\\\\x=0.0555...\qquad\text{multiply both sides by 10}\\\\10x=0.555...\qquad\text{multiply both sides by 10}\\\\100x=5.555...\\\\\text{Make the difference:}\\\\100x-10x=5.555...-0.555...\\\\90x=5\qquad\text{divide both sides by 90}\\\\x=\dfrac{5}{90}\\\\x=\dfrac{5:5}{90:5}\\\\x=\dfrac{1}{18}\\\\Answer:\ \boxed{0.0\overline{5}=\dfrac{1}{18}}\to\boxed{C)}

6 0
3 years ago
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