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3 years ago

Someone please solve x for me please

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

x = 40

Step-by-step explanation:

50 + 150 + 2x + x + x

200 + 4x

360 - 200 = 160

160 / 4 = 40

x = 40

50 + 80 + 40 + 150 + 40

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A jar of marbles contains 5 blue 12 red, and 8 yellow marbles. what is is probability that you you select a blue marble, keep it

Natali5045456 [20]

Answer:

Step-by-step explanation:

Add the number of marbles together then you but the number of blue ones first 5 to 25 chances

6 0

3 years ago

If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds

Elena L [17]

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

$x(t) = (v_0\cos{\alpha})t$

$y(t) = (v_0\sin{\alpha})t - 16t^2$

In which $v_0$ is the initial speed and $\alpha$ is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that $v_0 = 2048, \alpha = 30$ .

$x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t$

$y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2$

(a) After how many seconds will the bullet hit the ground?

It hits the ground when $y(t) = 0$ . So

$1024t - 16t^2 = 0$

$16t^2 - 1024t = 0$

$16t(t - 64) = 0$

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

$x(64) = 1773.62(64) = 113511.7$

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

$y^{\prime}(t) = 1024 - 32t$

$1024 - 32t = 0$

$32t = 1024$

$t = \frac{1024}{32} = 32$

At this instant, the height is:

$y(32) = 1024(32) - 16(32)^2 = 16384$

The maximum height attained by the bullet is of 16,384 feet.

7 0

3 years ago

Which of the following numbers can be expressed as repeating decimals? 3 over 7, 2 over 5, 3 over 4, 2 over 9

Maurinko [17]

Hello!

Let's think about the denominators we have. A seventh goes on forever in no specified order. A fifth an a fourth have set decimal values, 0.2 and 0.25, so they are not repeating decimals. A ninth is 0.111111..., it repeats like this forever in a specified order. Therefore, 2/9, or 0.222222...., would be a repeating decimal.

Therefore, our answer is $\boxed {\frac{2}{9}}$ .

I hope this helps!

6 0

3 years ago

Find three consecutive odd integers such that the sum of the smallest number and twice the largest number is equal to fifteen mo

inn [45]

Answer:

The three consecutive odd integers are: -11, -13 and -15.

Step-by-step explanation:

Let the smallest number be represented by x. then the three consecutive odd integers are: x, (x + 2) and (x = 4).

The sum of the smallest number and twice the larges number = x + 2(x + 4)

Fifteen more than four times the middle number = 4(x + 2) + 15

So that;

x + 2(x + 4) = 4(x + 2) + 15

x + 2x + 8 = 4x + 8 + 15

3x + 8 = 4x + 23

3x - 4x = 23 - 8

-1x = 15

⇒ x = -15

(x + 2) = (-15 + 2) = -13

(x + 4) = (-15 + 4) = -11

The three consecutive odd integers are: -11, -13 and -15.

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4 years ago

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. Which inequality represents the situ

-Dominant- [34]

Answer:

8 >= x + y

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

4 0

3 years ago

Read 2 more answers