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vfiekz [6]
2 years ago
5

Here's a riddle

Mathematics
2 answers:
iogann1982 [59]2 years ago
7 0

Answer: the horse does more work on one of the pairs so they went a different distance.

SVEN [57.7K]2 years ago
5 0

Answer:

The horse operates a mill and travels in a circular clockwise direction. The two outside legs will travel a greater distance than the two inside legs.

Step-by-step explanation:

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Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the
polet [3.4K]

Answer:

The first equation must be multiplied by -5 to eliminate x variable by addition

Step-by-step explanation:

4 x - 3 y = 1 (1)

5 x + 4 y = 9 (2)

If the second equation is multiplied by 4

5x+4y=9. ×4

We have,

20x+16y=36 (3)

The first equation should be multiplied by -5 to eliminate x variable by addition

4x-3y=1 × -5

We have

-20x+15y=-5 (4)

Add equation (3) and (4) to eliminate x variable

20x+16y=36

-20x+15y=-5

31y=31

Divide both sides by 31

y=1

Substitute y=1 into equation (1)

4 x - 3 y = 1

4x-3(1)=1

4x-3=1

4x=1+3

4x=4

Divide both sides by 4

x=1

4 0
3 years ago
Read 2 more answers
A deck of cards with four suits; hearts, diamonds, spades, and clubs. you pick one card, put it back and thennpick another card.
Llana [10]

1. First, let us find the probability that the first card is a diamond.

Now, since we are given that there are four suits and there are, assumably, an equal number of cards in each suit, we can say that the probability of choosing a diamond card is 1/4. We can also write this out as such, where D = Diamond:

Pr(D) = no. of diamond cards / total number of cards

There are 52 cards in a deck, and 13 cards of each suit, thus:

Pr(D) = 13/52 = 1/4

2. Now we need to calculate the probability of not choosing a diamond as the second card.

In many cases, when given a problem that requires you to find the probability of something not happening, it may be easier to set it out as such:

Pr(A') = 1 - Pr(A)

ie. Pr(A not happening, or not A) = 1 - Pr(A happening, or A)

This works because the total probability is always 1 (100%), and it makes sense that to find the probability of A not happening, we take the total probability and subtract the probability of A actually happening.

Thus, given that we have already calculated that the probability of choosing a Diamond is 1/4, we can now set this out as such:

Pr(D') = 1 - Pr(D)

Pr(D') = 1 - 1/4

Pr(D') = 3/4

3. Now we come to the final step. To find the probability of something and then something else happening, we must multiply the two probabilities together. Thus, given that Pr(D) = 1/4 and Pr(D') = 3/4, we get:

Pr(D)*Pr(D') = (1/4)*(3/4)

= 3/16

Thus, the probability of choosing a diamond as the first card and then not choosing a diamond as the second card is 3/16.

7 0
3 years ago
An automatics air freshener releases droplets into the air to improve the smell of a living room. At 30 minutes, the canister ha
Dovator [93]

Answer:

The equation is;

y = -1/4x + 607.5

Step-by-step explanation:

Let us have the number of drops as y axis while the number of minutes is x axis

The points to use are;

(30,600) and (130,575)

The slope can be calculated using;

m = (y2-y1)/(x2-x1)

= (575-600)/(130-30) = -25/100 = -1/4

So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)

y = -1/4x + c

To get c, we simply substitute one point

Let us use (30,600)

We have

600 = -1/4(30) + c

600 + 7.5 = c

c = 607.5

So the equation is ;

y = -1/4x + 607.5

4 0
2 years ago
For year y, the population of massachusetts was approximately what percent of the population of vermont?
kifflom [539]

Answer: 50%

Step-by-step explanation:  50%

5 0
2 years ago
Differentiate f(x)=x^2sin(x)
yanalaym [24]

x^2 cos(x)+2x sin (x)

Hope this helps!

6 0
3 years ago
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