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andrew11 [14]
2 years ago
9

Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far?

You may use a bar model or double number line.
Mathematics
2 answers:
Nataliya [291]2 years ago
4 0

Answer:

The answer is 120 feet of fabric

Sever21 [200]2 years ago
4 0

Answer:

30 feet.

Step-by-step explanation:

<u>Steps</u>

First, convert the percentage discount to a decimal. 20 percent of 150 is 0.20 in decimal format.

Secondly, multiply the decimal discount by the price of the item to determine the savings in dollars.

In this case, the original fabric needed equals 150 feet, you would multiply 0.2 by 150 to get the answer.

<u>Solution</u>

20 percent *150 =

(20:100)*150 =

(20*150):100 =

3000:100 = 30

Therefore, she used 30 feet for her project so far.

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For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12
sleet_krkn [62]

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



--------------------------------------


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

 p = 6


for the value of p = 6 , the equations will have infinitely many solutions





5 0
3 years ago
A lawyer charges for her services based on the number of hours worked. The expression gives the total cost for h hours is 200h+2
zhannawk [14.2K]
H is the number of hours worked. So the expression 200h+250 is 200 times the number of hours plus 250.

Here's a few computations using different values for h

1 hour --> (200)(1)+250 = 450
2 hours --> (200)(2) + 250 = 650
3 hours --> (200)(3)+250 = 850
10 hours --> (200)(10)+250 = 2250

As you can see the 250 is fixed. It gets added to the cost no matter how many hours the lawyer works. This is most likely a flat fee. Just to meet the lawyer you pay $250.

The 200 gets multiplied by the hours worked. So the 200 is an hourly rate. The more hours the lawyer works, the more he gets paid because this part of the expression depends on the hours worked.

Thus, an interpretation of the expression 200h + 250 is that the lawyer charges a fee of $250 per consultation and an additional $200 per hour on top of that.
4 0
3 years ago
Draw the shape described below and find its total surface area.
iogann1982 [59]

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

3 0
3 years ago
Can y’all answer the question for me please thank you
Bingel [31]

Answer: 544 ft²

Step-by-step explanation: 17*32=544 and ft*ft=ft² so it is 544 ft²

6 0
3 years ago
The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal
Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2)       x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8)  x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)   we can find the distance by substituting the given point coordinates

d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0
3 years ago
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