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IrinaK [193]
3 years ago
9

What is the value of the 3 in 46.132 is blank times the value of the 3 in 8.553

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

10

Step-by-step explanation:

0.03 in 46.132

0.003 in 8.553

0.03 = 0.003 × 10

0.03 is 10 times 0.003

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Suppose that a factory manufactures only tables and chairs and that the profit on one chair is $15 and on the table is $20. Each
Leya [2.2K]

Answer:

The data we have is:

Profit per chair = $15

Profit per table = $20

Chair needs: 1 large pice, 2 small pieces.

Table needs: 2 large pieces, 2 small pieces.

You have 6 large pieces and 8 small pieces, and you want to maximize the profit.

Let's define:

T = # of tables

C = # of chairs.

Total profit:

P = C*$15 + M*$20

The number of chairs that you can make is given by:

0 ≤ C ≤ 4

If you make 4 chairs, the profit is:

P = 4*$15 = $60

And there will be 2 large pieces left.

Now for the tables.

0 ≤ T ≤ 3

If you make 4 tables, the profit will be:

P = 3*$20 = $60 (same as before)

And there will be two small pieces left.

Then we want to use a medium number of tables and chairs, we can not use the maximum for any of those, the first thing we should try is:

we ideally would want to use all the pieces that we have.

8 small, 6 large:

Then we can make:

2 tables: we use 4 large pieces and 4 small pieces.

T = 2

And we have left 2 large pieces and 4 small pieces.

The leftover is enough to make two chairs.

C = 2.

In this case, where we used all our materials, the profit will be:

P = 2*$15 + 2*$20 = $30 + $40 = $70

The profit is maximized when we make 2 tables and two chairs.

5 0
3 years ago
The equation for the line g can be written as x-y=9. Line h is parallel to line g and passes through (4,5). What is the equation
Gnoma [55]

Answer:

y = x+1

Step-by-step explanation

The equation in slope intercept form is expressed as y = MX+c

m a the slope

Get the slope of the line

Given the line x-y =9

-y = -x+9

y = x-9

Slope of the line is 1

Since it is parallel to the given line, the slope o the required line is also 1

Substitute m = 1 adnd (4,5) into the point slope form

y-y0 =m(x-x0)

y - 5 = 1(x-4)

y-5 = x-4

y= x-4+5

y = x+1

Hence the required equation is y = x+1

8 0
3 years ago
What is the inverse of the function f(x) = 4x + 8
Y_Kistochka [10]

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

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