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nydimaria [60]
2 years ago
9

Liam's bookstore sold 4 0 4040 notebooks and 2 0 2020 newspapers for a total of $ 1 3 0 $130dollar sign, 130. A day later, the b

ookstore sold 8 88 notebooks and 4 44 newspapers at the same prices, for a total of $ 2 8 $28dollar sign, 28.
Mathematics
1 answer:
EleoNora [17]2 years ago
8 0
Lets say that:
X = price of each notebook
Y = price of each newspaper
 
So from the problem statement we can create the following equations:
40 X + 20 Y = 130                               --> eqtn 1
8 X + 4 Y = 28                                      --> eqtn 2
 
Divide both equations by the lowest coefficient to simplify:
Divide eqtn 1 by 20 =>   2 X + Y = 6.5
Divide eqtn 2 by 4=>       2 X + Y = 7
 
So we can see that although both equations has equal left side, the right side do not match. Hence this problem is impossible to solve.
 
so the given information describes an impossible situation.
 
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Basile [38]

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

2L+ L=48

3L=48

L=16

Now putting the value of L in equation(2)

R= 2L

R = 2*16

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.

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2 years ago
(40pts) Mr. Green had 200 dollars and Mrs.Green had 180 dollars. After they each bought the same t-shirt, the ratio of the numbe
yanalaym [24]

Answer:

The t-shirt cost $23.33.

Step-by-step explanation:

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Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36
Kamila [148]

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6+72=79 which is less than 90

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Shelly bought a house five years ago for $150,000 and obtained an 80% loan. Now the home is worth $140,000 and her loan balance
LiRa [457]

Answer:

The current equity is $32,000

Step-by-step explanation:

Here, we are to calculate the current equity of the House

Value of house initially is $150,000

loan borrowed is 80% of this

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Now the house value is 140,000 and the loan amount is reduced to 12,000

The outstanding loan amount to pay would be 120,000-12,000 = 108,000

The current equity is thus = Assets - liability = 140,000-108,000 = $32,000

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Answer:

The distance the fish pulled the fishing line is <u>401.92 cm.</u>

Step-by-step explanation:

Given:

Radius of fishing spool = 4 cm.

Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.

Now, to find the distance the fish pulled the fishing line.

So, to get the circumference of the spool first we put formula:

Radius(r) = 4 cm.

Value of π = 3.14.

Circumference = 2\pi r

Circumference=2\times 3.14\times 4

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Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

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Therefore, the distance the fish pulled the fishing line is 401.92 cm.

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