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Ilia_Sergeevich [38]
2 years ago
13

Is my answer correct? If not please help.

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0
I think you are correct
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Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
2 years ago
WILL GIVE BRANLIEST!!!!!!!!!!!!!
Lunna [17]

Answer:

D is the answer

Step-by-step explanation:

6 0
2 years ago
What is the slope of line on the graph help pwease
Rus_ich [418]

Answer: is where that one dot is at home n the y-axis

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A circle is inscribed in a square is 10 inch sides what is the circumference of the circle use 3.14 as an approximation for pie
MissTica

Answer:

31.4 inches

Step-by-step explanation:

If a circle is inscribed in a square then diameter of circle inscribed is same as  side as of square.

In the given problem it is given that side of square is 10 inches.

So diameter of  circle inscribed is 10 inches

we know radius of circle is half of  diameter of  circle

Thus, radius of circle inscribed = diameter of  circle/2 = 10/2 = 5inches.

Expression to calculate circumference of circle is given by 2\pi r

where r is the radius of circle.

Thus circumference of  circle inscribed is

2*\pi *5\\=> 10*3.14 \\=> 31.4

Thus, circumference of  circle inscribed is  31.4 inches

6 0
3 years ago
Determine whether the points (–3,–2) and (3,2) are in the solution set of the system of inequalities below. y ≤ ½x + 2 y &lt; –2
lana [24]

Given:

The system of inequalities:

y\leq \dfrac{1}{2}x+2

y

To find:

Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.

Solution:

A point is in the solution set of the given system of inequalities if it satisfies both inequalities.

Check for the point (-3,-2).

-2\leq \dfrac{1}{2}(-3)+2

-2\leq -1.5+2

-2\leq 0.5

This statement is true.

-2

-2

-2

This statement is also true.

Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.

Now, check for the point (3,2).

2

2

2

This statement is false because 2>-9.

Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.

7 0
3 years ago
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