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Vadim26 [7]
3 years ago
9

Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea

ch puppet. What is the total cost to make 50 puppets? (PLEASE HELP THANKS)
Mathematics
2 answers:
Sliva [168]3 years ago
8 0
$7150 happy new year!!!!!!!!!!!!!!!!!!!!!!!!!!!
Alexus [3.1K]3 years ago
3 0

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025  \ dollar.

The total cost to make 50 puppets=$1025

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marusya05 [52]

Answer:

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(2) The sum of 5 and 12 is 7 if and only if 5 is a negative integer.

Step-by-step explanation:

(1)

The GCD (greatest common divisor) of two or more numbers, which are not all equal to zero, is the largest positive integer number which divides each of the numbers.

If the GCD of two numbers is 1, then the two numbers are known as coprime or relatively prime or mutually prime.

(2)

The sum of 5 and 12 is 7 if and only if, the number 5 is a negative integer, i.e.

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6 0
3 years ago
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motikmotik

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x= 70

Step-by-step explanation:

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3 years ago
Which of the following points is an equal distance (equidistant) from A(0, −4) and B(−2, 0)?
joja [24]

Answer:

Point N(3,0) is equidistant from A and B.

Step-by-step explanation:

In order to check whether the point is equidistant from A and B, it is required to measure the distance of A and B from each point. The formula for distance is:

d= √((x_2-x_(1))^2+(y_2-y_(1))^2 )

For J

AJ= √((-4-0)^2+(-5+4)^2 )

=√((-4)^2+(-1)^2 )

= √(16+1)

= √17  units

BJ=√((-4+2)^2+(-5-0)^2 )

=√((-2)^2+(-5)^2 )

= √(4+25)

= √29  units

Point J is not equidistant from A and B.

For K

AK= √((-3-0)^2+(0+4)^2 )

=√((-3)^2+(4)^2 )

= √(9+16)

= √25  units

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BK=√((-3+2)^2+(0-0)^2 )

=√((-1)^2+(0)^2 )

= √(1+0)

= √1  

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Point K is not equidistant from A and B.

For M

AM= √((0-0)^2+(0+4)^2 )

=√((0)^2+(4)^2 )

= √(0+16)

= √16

=4 units  

BM=√((0+2)^2+(0-0)^2 )

=√((2)^2+(0)^2 )

= √(4+0)

= √4  

=2 units

Point M is not equidistant from A and B.

For N

AN= √((3-0)^2+(0+4)^2 )

=√((3)^2+(4)^2 )

= √(9+16)

= √25

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BN=√((3+2)^2+(0-0)^2 )

=√((5)^2+(0)^2 )

= √(25+0)

= √25  

=5 units

As point N's distance is equal from A and B, Point N is equidistant from A and B.

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