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cricket20 [7]
3 years ago
6

In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

ny brothers and how many sisters are there in this family?
Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1.  Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

x-1=y.

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

2(y-1)=x.

3. Solve the system of two equations:

\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.

Then

x=y+1=3+1=4.

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Answer:

36h+81m

Step-by-step explanation:

9*4h+9*9m=36h+81m

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3. A rocket is launched vertically from the ground with an initial velocity of 64 .
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If you cut that in half you would get 8. 64 is a square root.
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Prove that A is a subset of B if and only if B complement is a subset of A complement.
WITCHER [35]
Please read the attached file

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2 years ago
Need some help with this one please
Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

  • Choice A is something we'll come back to
  • Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
  • Choice C is false for similar reasons as choice B. The slope should be negative.
  • Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

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3 years ago
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Delvig [45]

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

7 0
3 years ago
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