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mash [69]
3 years ago
15

Moving Company A charges a flat fee of $1200 plus $18 and hour. Company B charges $900 plus $23 an hour. After how many hours wo

uld the price be the same regard-less of which company was chosen?
Mathematics
1 answer:
sesenic [268]3 years ago
6 0

We need to create two expressions, then equate them in order to find the numbers of hours.


Let X = Number of hours

Let 1200+18x = Company A (Flat Fee + Hourly Rate*Hours)

Let 900+23x = Company B


1200+18x=900+23x\\300+18x=23x\\300=5x\\60=x


After 60 hours, the prices will be the same

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In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?
Masteriza [31]

Answer:

6 Chickens

Step-by-step explanation:

Let  H represent the number of horses and  C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C  +  4 H  =  32     (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C  +  H  =  11    (Eq. 2)

From Eq. 2, solve for the number of chickens:

C  +  H  =  11

C   =  11  - H    (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C  +  4 H  =  32

2 ( 11  −  H )  +  4 H  =  32

22   −  2 H  +  4 H  =  32

2H  =  32  − 22

2 H  = 10

H = 5               Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 =  32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

8 0
2 years ago
Which number is irrational?<br><br> Did I get it correct plz help....
Diano4ka-milaya [45]

Answer:

Yes, I believe that is correct. I may be wrong.

Step-by-step explanation:

4 0
2 years ago
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superstore and cheap store are two supermarkets that sell boxes of the same type of cereal each supermarket has a special offer
Lena [83]

Answer:

Step-by-step explanation:

Cheapstore:

500p÷10=50p×2=100p or £1  

£4=600g

Superstore:

600g÷10=60g×3=180g+600g

£5=780g

600÷4=150g per pound

780÷5=156g per pound

The box from Superstore is best value

8 0
3 years ago
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jeyben [28]
Well, zero is between negative and positive numbers. Negative number are less than zero and positive numbers. Positive number are greater than negative number and zero. And, zero is greater than negative number but smaller than positive number.

Negative number < Zero < Positive number
7 0
2 years ago
The set of ordered pairs below represents a relation that is a function.
Allushta [10]

Answer:

B (4,2)

Step-by-step explanation:

This coordinate pair would make the relation not a function because there would be two X values that are the same.

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