Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer 1

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460


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which point is closer to the x-axis (0.7, 21) or (0.77, 10)

Answers

Answer:

As

[tex]d_A=21[/tex][tex]d_B=10[/tex]

Therefore, point B is closer to the x-axis.

Please check the attached graph.

Step-by-step explanation:

We know that:

x-coordinate of any point P(x, y) gives its distance of that point from the y-axisy-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Given the points

(0.7, 21)(0.77, 10)

Let us say

A(0.7, 21)B(0.77, 10)

FOR POINT A(0, 7)

As the y-coordinate of point A(0.7, 21) ⇒ y = 21

We know that the y-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point A(0.7, 21) from the y-axis is 21 units.

i.e.

[tex]d_A=21[/tex]

FOR POINT B(0.77, 10)

As the y-coordinate of point A(0.77, 10) ⇒ y = 10

We know that the y-coordinate of  any point P(x, y) gives its distance of that point from the x-axis

Thus, the distance of point B(0, 7) from the y-axis is 10 units.

i.e.

[tex]d_B=10[/tex]

As

[tex]d_A=21[/tex][tex]d_B=10[/tex]

Therefore, point B is closer to the x-axis.

Please check the attached graph.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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(i)

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

y

=

10

x

(subtracting

x

from both sides)

Replacing the value of

y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

x

)

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3

x

=

20

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

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x

+

y

=

10

substituting

x

with

4

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4

+

y

=

10

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4

from both sides.

y

=

6

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Step-by-step explanation;

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

of 4 inches = 3 feet

so

1 inch = 3/4 feet

Given that the poster's length:

[tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex] inch

We need to determine the actual height if quarterback Matthew Stafford is 8 1/2 inches tall on the poster.

As 1 inch = 3/4 feet

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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