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3 years ago

The quotient of the difference between 5 and a number n, and 2

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Alright, so I think what it means is the difference of t and n (5-n) and the division of (5-n) and 2, getting (5-n)/2

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A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil

bixtya [17]

9514 1404 393

Answer:

30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

20x +50y = 30×60

60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

2x +5y = 180

2x +3y = 132

Subtracting the second equation from the first gives ...

2y = 48

y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

2x +5(24) = 180

2x = 60 . . . . . . . . . . subtract 120

x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

4 0

3 years ago

There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

7 0

4 years ago

Lines g,h, and i are all parallel and m------->1 =55*

Hunter-Best [27]

It would be C:55,
hope this helps u out

7 0

3 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

6 0

3 years ago

What’s the value of x? and what’s the measure of angel JHK?

enot [183]

Answer:

x = 14

JHK = 21

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

3x-21 = x+7

Subtract x from each side

3x-x -21 = x+7-x

2x-21 = 7

Add 21 to each side

2x-21+21 = 7+21

2x = 28

Divide by 2

2x/2 =28/2

x = 14

JHK = 3x-21 = 3(14) -21 = 42-21 = 21

3 0

3 years ago

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