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2 years ago

Apply the distributive property to factor out the greatest common factor. 18d+12 =18d+12=18, d, plus, 12, equals

Mathematics

2 answers:

kobusy [5.1K]2 years ago

6 0

Answer:

$\huge\boxed{6 ( 3d + 2 )}$

Step-by-step explanation:

18d + 12

The greatest common factor is 6, So we need to factor out 6

=> 6 ( 3d + 2 ) [Distributive property has been applied and this is the simplest form]

mezya [45]2 years ago

5 0

Answer:

6(3d+2)

Step-by-step explanation:

6 is the gcd of the two terms.

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Please answer this, I’m a bit confused...

tatuchka [14]

Answer: The distance across a rectangular field is longer distance.

So, Perimeter of rectangle would be 120 yards.

Diagonal of square would be 56.56 yards.

3 0

2 years ago

The sum of two consecutive integers is 131. What are the integers?

Dahasolnce [82]

X, x+1
x+x+1=131
2x+1=131
2x=131-1=130
x=130÷2 = 65
the integers are 65 and 66

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3 years ago

1000 views=£2<br> how many views are required to make £31?

dedylja [7]

1000 = £2
10 x 1000 = 10,000 = £20
15,000 = £30
16,000 = £32
Not sure if you want specifically 31 but I’d say if you do it would be 15,000 views

8 0

3 years ago

TeeVee Electronics, Inc., makes console and wide-

Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

Cost Production Max.

Console screen (x) $600 450

Wide-screen (y) $900 200

$360,000

We have:

$600x+900y \leq 360,000$

Because they can't spend more than $360,000 in production.

$x\leq 450\\y\leq 200$

Because the number of television is restricted.

The profit function is

$P(x,y)=125x+200y$ (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

$P(300,200)=125(300)+200(200)=37,500+40,000=77,500$

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

$P(450,100)=125(450)+200(100)=56,250+20,000=76,250$

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>

4 0

3 years ago

Find the mean of each distribution.

Vanyuwa [196]

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

This set of data is presented as a <u>Dot Plot</u>.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

$\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}$

This set of data is presented as a <u>stem and leaf diagram</u>, where the units and tenths are split. The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

$\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}$

4 0

2 years ago

Read 2 more answers