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3 years ago

If one letter is chosen at random from the word assists, what is the probability that the letter chosen will be an "s"?

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

4/7 or 57%

There are 7 letters in the word "assists" and 4 of them are "s"

4 divided by 7 will give you the percentage

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Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85

Sergio039 [100]

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150

5 0

3 years ago

Help pleaseee

Morgarella [4.7K]

Answer:

Step-by-step explanation:

(x + 2)² = (x - 1)(x + 14)

x² + 4x + 4 = x² + 13x - 14

-9x = -18

x = 2

5 0

3 years ago

3) determine the value of (-6) x (-3)

Serhud [2]

-6 × -3
- × - = +
6×3 = 18

= 18

8 0

3 years ago

Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

Consider a civilization broadcasting a signal with a power of 2.0×104 watts. The Arecibo radio telescope, which is about 300 met

Vitek1552 [10]

For light: Inverse Square Law

The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference.

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.

2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.
The new telescope needs 246462.60 times that area to have enough sensitivity

(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10

What is the diameter of a circle with that area?

1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293

3. Multiply by 2 to find the diameter = 148971.886

7 0

3 years ago