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2 years ago

Th sum of three numbers is 64. The second number is 3 more than the first. The third number is

1 answer:

8 0

<span>Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.</span>

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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

Elenna [48]

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.

5 0

2 years ago

M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?

borishaifa [10]

Answer:

B = (5, 1).

Step-by-step explanation:

From the formula for the midpoint of a line :-

(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.

so (-1 + x)/2 = 6/2

-1 + x = 6

x = 5.

and (5 + y)/2 = 6/2

5 + y = 6

y = 1.

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1 year ago

What is the fourth term of the binomial expansion for (3x-2y)6

Thepotemich [5.8K]

One way is to just expand it by using binomial theorem
or to use pascal's triangle

ok so

to find the nth term of a binomial, (a-b). where the binomial is to the r power you do
n-1=k

rCk times $(a)^{r-k}(-b)^k$
and rCk= $\frac{r!}{k!(r-k)!}$

so

4th term
4-1=3
6 is exponent

6C3 $(3x)^{6-3}(-2y)^3$ =
$( \frac{6!}{3!(6-3)!} )((3x)^3(-8y^3)$ =
$( \frac{6*5*4}{1*2*3} )(27x^3)(-8y^3)$ =
$(20)(27)(-8)(x^3)(y^3)=-4320x^3y^3$

the 4th term is $-4320x^3y^3$

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3 years ago

Geometry question plz help

saw5 [17]

Answer:

I think it would be 85 degrees.

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2 years ago

When Michael was 10 years old, Sam was 14. Sam is now 28 and Michael is 24.

SpyIntel [72]

Answer:

4 years difference

Step-by-step explanation:

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2 years ago