What an expression for “8 times x”

Mathematics

1 answer:

kozerog [31]3 years ago

3 0

Answer:

Possible expressions are:

8 * x

8(x)

8 · x

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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

3(5+6) ??? its distributive property

kaheart [24]

Yes, we apply the distributive property to simplify this expression.

3*5 = 15
6*3 = 18

15 + 18 is the final answer.

4 0

3 years ago

Read 2 more answers

3.11 A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the nu

djverab [1.8K]

Answer:

Probability distribution for x:

$P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\$

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

So, we have this probabilty distribution for x:

$P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\$