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Illusion [34]
2 years ago
4

Cari owns a horse farm…

Mathematics
1 answer:
AlladinOne [14]2 years ago
3 0

Answer:

6240 + 5t <= 8000

8000 - 6240 >= 5t

Step-by-step explanation:

weight of horses + weight of tack <= allowable weight of the trailer

weight of horses + weight of tack <= 8000

weight of horses = 6240 lb

6240 + weight of tack <= 8000

The weight of the tack is an average of t per horse, so for the tack for the 5 horses, it weight 5t.

6240 + <em>weight of tack</em> <= 8000

<em>weight of tack = 5t</em>

6240 + <em>5t</em> <= 8000

One answer is: 6240 + 5t <= 8000

Subtract 6240 from both sides.

5t <= 8000 - 6240

Switch sides (remember to flip the inequality sign.)

8000 - 6240 >= 5t

Another answer is: 8000 - 6240 >= 5t

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point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
2 years ago
A study was conducted to determine the mean birth weight of a certain breed of kittens. Consider the birth weights of kittens to
kipiarov [429]
3.56 +/- 0.011 = ( 3.549, 3.571). This is the answer.
7 0
2 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds
svetlana [45]

Answer:

Yes, but it is not linear. It is exponential :  f(x) = 5\cdot 2^{x-1}

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

                                                f(x) = 5\cdot 2^{x-1},

where x is a number of days and f(x) gives us the number of bacteria.

4 0
2 years ago
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the
amid [387]
I = p*r*t
$3000=p*.06*5=?
Multiply and you would have yor answer(rounded to nearsest cent)!
6 0
2 years ago
Read 2 more answers
Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20
Aleksandr-060686 [28]

Answer:

A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.

Step-by-step explanation:

we have

-3x-7

Solve for x

Adds 7 both sides

-3x

-3x

Divide by -3 both sides

Remember that

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

x> 27/(-3)\\x>-9

The solution is the interval (-9,∞)

therefore

A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.

6 0
2 years ago
Read 2 more answers
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