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Paha777 [63]
3 years ago
10

Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the sa

me as each other. Adam has half as much money as Ben.
What are the coins they each have?
Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

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xxTIMURxx [149]

Answer:

ET = 80/A^2

Step-by-step explanation:

First, isolate the variables that you need, which is E and T, using the two equations you were given.

EA = 8

E = 8/A (divide A on both sides to isolate E)

AT = 10

T = 10/A (divide A on both sides to isolate T)

Now, substitute.

ET --> (8/A) x (10/A) = 80/A^2

4 0
2 years ago
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growt
Mazyrski [523]

Answer:

hello, This can be solved using your standard rise over run slope calculation.  Think of the number of years after 1990 as your input variable.  2007 would be 17 years after 1990, so the "y" variable would be 17.  This is your "run", and it goes in the denominator of your slope calculation.  Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500.  Dividing, you will get 5441.17.  Since we're talking about humans, we can't have a decimal, so let's round up to 5442.

 

Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000.  Do you know why we add the 123000?  It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.

 

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Step-by-step explanation:

6 0
3 years ago
BEST ANSWER GETS BRAINLIEST!! PLEASE HELP
Natasha_Volkova [10]
4 units wide........................
7 0
3 years ago
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Solve the system 3x+y=2 5x-y=8
Citrus2011 [14]

Answer:

x= 5/4 ; y= -7/4

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=2;5x−y=8

Step: Solve3x+y=2for y:

3x+y+−3x=2+−3x(Add -3x to both sides)

y=−3x+2

Step: Substitute−3x+2foryin5x−y=8:

5x−y=8

5x−(−3x+2)=8

8x−2=8(Simplify both sides of the equation)

8x−2+2=8+2(Add 2 to both sides)

8x=10

8x

8

=

10

8

(Divide both sides by 8)

x=

5

4

Step: Substitute

5

4

forxiny=−3x+2:

y=−3x+2

y=−3(

5

4

)+2

y=

−7

4

(Simplify both sides of the equation)

Answer:

x=

5

4

and y=

−7

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3 0
3 years ago
write and solve a real- world problem involving the multiplication of a fraction and a whole number whose product is between 10
Tomtit [17]

Answer:

Real word Problem:- Jean is working in a pizza shop. She has 60 kg of flour. She has used one-fifth of it for making pizzas. How much flour she used for making pizzas?

Solution:- Quantity of flour she has= 60 kg

The quantity she used in making pizzas=\frac{1}{5}\ of\ 60

=\frac{1}{5}\times60=12\ kg

hence, she used 12 kg of flour for making pizzas.

Here the multiplication of a fraction and a whole number =\frac{1}{5}\times60 and its answer is between 10 and 15, since 10<12<15.

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2 years ago
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