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il63 [147K]
3 years ago
6

Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

1\ nickel=\$0.05

1\ quarter=\$0.25

we know that

Mary has 15 coins

so

x+y=15 -----> equation A

The total value of the coins is $1.75

so

0.05x+0.25y=1.75 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

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Jim G.

Jun 11, 2018

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and  

(

x

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3

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m

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3

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is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

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=

−

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y

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←

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