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3 years ago

Six plus four times a number plus four times four minus four times the number no

Mathematics

1 answer:

zalisa [80]3 years ago

5 0

Answer:

The resultant expression would be 22 - 12x

Step-by-step explanation:

Let x be the unknown number,

Six plus four times a number = 6 + 4x

Four times four minus four times the number number = 4(4 - 4x)

Thus, Six plus four times the number plus four times four minus four times the number number = 6 + 4x + 4(4 - 4x)

Using distributive property,

6 + 4x + 16 - 16x

Combining like terms,

22 - 12x

You might be interested in

A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount

kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount : $160 $4400 $145000

Probability : 0.146 0.024 0.0007

We need to find the expected payout of the game.

The formula for expected payout is

$\text{Expected payout}=\sum n_iP(x_i)$

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

$\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007$

$\text{Expected payout}=23.36+105.6+101.5$

$\text{Expected payout}=230.46$

Therefore the expected payout of the game is $230.46.

6 0

3 years ago

If the sum of three consecutive integers is 36, what is the smallest of these integers?

DedPeter [7]

Let the three consecutive equals:
x, x+1, x+2

sum:
x+(x+1)+(x+2) = 36
3x + 3 = 36
x+1 = 36/3
x+1 = 12
x=12-1
x=11

5 0

3 years ago

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Area of a rectangle = 16 cm * 12 cm
Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

Area of a triangle = (8 cm * 8 cm) / 2
Area of a triangle = (64 cm^2) / 2
Area of a triangle = 32 cm^2

We subtract to the found area:

Area of the picture = 192 cm^2 - 32 cm^2
Area of the picture = 160 cm^2

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem: