All categories

3 years ago

Which graph represents the solution set for the inequality 1xs 18?

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

Multiplying the inequality by 2 will eliminate the fraction and give you ...

x ≤ 36

The "or equal to" part of the symbol means the end dot will be solid. The "less than" part of the symbol means the graph is shaded to the left of the end dot, which is at x=36. This description matches the graph shown below.

You might be interested in

The answer to this equation

12345 [234]

Answer:

x=3

Step-by-step explanation:

We are given the equation

$log5x=log(2x+9)$

This can be rewritten as

$log5x-log(2x+9)=0$

Now using the quotient rule for logarithms we can combine these two

$log(\frac{5x}{2x+9} )=0$

Next we can remove the log by using an inverse operation

$10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1$

Now we can solve for x

$\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3$

4 0

3 years ago

SA = 2tr2 + 2trh

julsineya [31]

Given:

Radius of the cylinder = 5 in

Height of the cylinder = 30 in.

To find:

The surface area of the cylinder.

Solution:

The surface area of the cylinder is:

$SA=2\pi r^2+2\pi rh$

Where, r is the radius and h is the height of the cylinder.

Putting $r=5,h=30,\pi=3.14$ in the above formula, we get

$SA=2(3.14)(5)^2+2(3.14)(5)(30)$

$SA=2(3.14)(25)+942$

$SA=157+942$

$SA=1099
$

Therefore, the surface area of the cylinder is 1099 square inches.

6 0

3 years ago

You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa

harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12 × [ 6 × [ 17

9 ] 4 ] 13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

Number of ways of selecting 25 item from 35 items;

⇒ [ 35

25 ]

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12 × [ 6 × [ 17

10 ] 3 ] 12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0

3 years ago

3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the

Alex787 [66]

Answer:

Step-by-step explanation:

So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20. Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.

<em>Hope I Helped You :)</em>

7 0

2 years ago

When pay rate is $14/hr and an employee has a 15 minutes added to an hour, how much?

hram777 [196]

Answer:

$3.50

Step-by-step explanation:

15 min is 1/4 hr.

Working an add'l 1/4 hr brings the employee additional pay:

($14/hr)(1/4 hr) = $7/2, or $3.50

6 0

3 years ago