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Degger [83]
2 years ago
10

Since the school was opened the number of students has increased 60%. There are 240 students. Calculate the number of the studen

ts when the school was opened
Mathematics
1 answer:
Alja [10]2 years ago
7 0

Answer:

150 students

Step-by-step explanation:

60% = 0.6

x + 0.6x = 240

1.6x = 240

x = 240/1.6

x = 150

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Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

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6 0
3 years ago
Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

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3 years ago
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alukav5142 [94]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Answer:

67.50 inches


Step-by-step explanation:


5 0
3 years ago
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