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dmitriy555 [2]
3 years ago
12

How to use the distrubtive property to multiply a number by a sum

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

The distributive property of multiplication over addition is used when we multiply a number by a sum.

For example:

Lets suppose we want to multiply 7 by the sum of (15+3). So, according to this property, we can add the numbers and then multiply by 7.

It can be written like this :

7(15+3)

7(18)

= 126

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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 sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Likurg_2 [28]

Answer:

B) Angle 5 and angle 4

Step-by-step explanation:

Given

See attachment for sketch

See comment for options

Required

The alternate interior angles

Interior angles are such that they are located between the given parallel lines.

In the attached sketch, the interior angles are: 3, 4, 5 and 6

Alternate angles are at the opposite sides of the transversal

Hence:

<em>4 and 5 are alternate interior</em>

<em>3 and 5 are also alternate interior</em>

5 0
3 years ago
A drinking glass has a height of 4 inch a length of 2 and a width of 2 inch while a baking pan has a width of 4 inch a length of
Alex Ar [27]
The answer would be two glasses
5 0
3 years ago
23 - x = 142 ggghhgfff
Dafna1 [17]

Answer:

x=-119

Step-by-step explanation:

23-x=142

-23       -23

-x=119

switch the signs

x=-119

5 0
3 years ago
The average swimming pool has a water capacity of 375,000 liters. Use dimensional analysis to show how many milliliters of water
Agata [3.3K]

Answer:

375,000,000 milliliters of water is in the pool.

Step-by-step explanation:

We know

1 liters = 1000 milliliters

hence to convert liter in to milliliter we have to multiply the liter unit  with 1000 to get the milliliter

we have to find value of 375,000 liters in milliliters

to get that we multiply both side by 375,000

1* 375,000 liters = 1000* 375,000 milliliters

thus,

375,000 liters = 375,000,000 milliliters

thus, there is 375,000,000 milliliters of water is in the pool.

3 0
3 years ago
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