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Svetllana [295]
2 years ago
3

The local school bought $1,464 worth of notebooks for it's $1,464 worth of notebooks for it's students. If the notebooks cost $1

.22 each how many notebooks did the $1,464 worth of notebooks for it students. If the notebooks cost $1.22 each how many notebooks did the school by?
A. 1,220

B. 1,250

C. 1,500

D. 2,500
Mathematics
1 answer:
zalisa [80]2 years ago
3 0
I would say A. 1,220 because if you divide 1,464 and 1.22 you would get 1,200, but it’s close to it so I would say A. Sorry if it’s wrong.
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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. Assume that the weights of boxes are
Sedaia [141]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock colle
Colt1911 [192]

Answer:

The correct options are (2, 3 and 6).

Step-by-step explanation:

It is provided that Daniel has a rock collection of 18 rocks.

He wants to organize these 8 rocks into equal groups.

The factors of 18 are:

Factor (18): {1, 2, 3, 6, 9, 18}

A group is a selection of more than 1 items. So, there cannot be 18 groups.

And there cannot be 1 group, since then Daniel would not be organizing the rocks.

So, the possible ways Daniel line up his rock collection are {2, 3, 6 and 9}.

Thus, the correct options are (2, 3 and 6).

6 0
2 years ago
Solve the system of inequalities: y + 2x > 3 and y 3.5x − 5 The first inequality, y + 2x > 3, is in slope-intercept form.
BabaBlast [244]
The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y  3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities. 
</span>
7 0
2 years ago
Read 2 more answers
louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0
2 years ago
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