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ExtremeBDS [4]
3 years ago
15

Mr. Flynn had 32 markers in his classroom. He buys new boxes of markers that have 9 markers in each box. Now, he has 86 markers.

How many new boxes did he buy?
Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0
He bought 6 new boxes.

subtract 86 and 32 to see how many new markers he had gotten.

86-32=54

divide 54 by 9 since there are 9 markers in each box

54/9= 6 new boxes!
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A wagon is pulled horizontally by exerting a force of 42 pounds on the handle at an angle of 25° with the horizontal. How much w
xenn [34]

Answer:

The work done is 4386.6 J.

Step-by-step explanation:

The work is given by:

W = Fd

Where:

F: is the applied force = 42 pounds

d: is the displacement = 85 feet  

Since the force is applied at an angle (θ) of 25° with the horizontal we have:

W = Fcos(\theta)d

W = 42 lb*\frac{4.448 N}{1 lb}cos(25)*85 ft*\frac{0.3048 m}{1 ft} = 4386.6 J

                                 

Therefore, the work done is 4386.6 J.

I hope it helps you!

6 0
3 years ago
Consider the system of equations, y = f(x) and y= g(x), where
NARA [144]

Answer:

  (x, y) = (3, 26)

Step-by-step explanation:

I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.

  (x, y) = (3, 26)

__

As an alternative, here, the equations can be subtracted.

  y = f(x)

  y = g(x)

  0 = f(x) - g(x)  . . . .  subtract the second equation from the first

  0 = 11x -7 -(3x +17)

  0 = 8x -24 . . . . simplify

  0 = x -3 . . . . . . .divide by 8

  3 = x

Now, we can substitute into either equation:

  y = g(x) = 3(3) +17 = 26

The solution is (x, y) = (3, 26).

8 0
3 years ago
Solve the problem below<br> X-y=1 <br> X+y=3
torisob [31]
X = 2
Y= 1

2-1 = 1 ✔️
2+1 = 3 ✔️
3 0
3 years ago
Read 2 more answers
I really don't understand how roots work with these. Please help
zheka24 [161]

Answer: This is geometry. Put point C at (-4,-3). Distance from A to C = AC = 5. Distance from C to B = CB = 9. Then ACB is a right triangle with legs AC and CB, and hypotenuse AB, so

AC^2 + CB^2 = AB^2, so

AB = √(AC^2 + CB^2) = √(5^2+9^2) = √(25+81) = √106.


However, in vector algebra, A=(-4,3) and B=(5,-2), and (A-B)=(-9,5).

distance(A,B) = √((A-B) dot (A-B)),

where (x,y) dot (x,y) = x×x + y×y.

So the answer is √((-9,5)dot(-9,5)) = √((-9)^2+5^2) = √(81+25) = √106.


This works in 3D, (x,y,z) dot (x,y,z) = x×x + y×y + z×z. distance(A,B) gives √(x^2+y^2+z^2) for distances in 3 dimensions.


In 4D, distance is √(x^2+y^2+z^2+w^2)


And in infinite dimensional Hilbert space, (x,y,z,a,b,c,...) dot (x,y,z,a,b,c,...) = x×x + ... c×c + .... distance(A,B) gives

√(x^2+...+c^2+...).


And for real valued functions, f(x) dot g(x) is roughly the sum of f(x)×g(x) over uncountably many points x from -infinity to +infinity. It's the area under h(x)=f(x)g(x).



8 0
4 years ago
Choose the true statement about the graph of x &gt; -3.
bagirrra123 [75]

Answer:

yo enverdad nose lol

Step-by-step explanation:

3 0
4 years ago
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