All categories

3 years ago

-15 = 10x - 40x please helpp

Mathematics

1 answer:

torisob [31]3 years ago

7 0

Answer:

$\large\boxed{x=\dfrac{1}{2}}$

Step-by-step explanation:

$10x-40x=-15\\\\-30x=-15\qquad\text{divide both sides by (-30)}\\\\\dfrac{-30x}{-30}=\dfrac{-15}{-30}\\\\x=\dfrac{1}{2}$

You might be interested in

The volume of a cylinder is given by the formula y = ²h, where r is the radius of the cylinder and h is the height.

Anna11 [10]

Option 3 is the best answer

4 0

2 years ago

Have Retirement Benefits

charle [14.2K]

Answer:

(a) The probability of the intersection of events "man" and "yes" is 0.55.

(b) The probability of the intersection of events "no" and "man" is 0.10.

Step-by-step explanation:

The information provided is:

Yes No Total

Men 275 50 325

Women 150 25 175

Total 425 75 500

(a)

Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

$P(M\cap Y)=\frac{n(M\cap Y)}{N}=\frac{275}{500}=0.55$

Thus, the probability of the intersection of events "man" and "yes" is 0.55.

(b)

Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

$P(N\cap M)=\frac{n(N\cap M)}{N}=\frac{50}{500}=0.10$

Thus, the probability of the intersection of events "no" and "man" is 0.10.

(c)

Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

$P(W\cup N)=P(W)+P(N)-P(W\cap N)=\frac{175}{500}+\frac{75}{500}-\frac{25}{500}=0.45$

Thus, the probability of the union of events "woman" or "no" is 0.45.

5 0

3 years ago

Is it possible for two equations to have more than one solution? what would that look like?

goblinko [34]

Its a little complicated, so I cant rlly explain it on here. But yes, 2 questions can have more than one solution. Like how theres a problem in a story, but theres plenty of solutions to solve it.

5 0

3 years ago

Graph the solutions of the inequality.<br> X-3> 11<br> How do I know if the hole is open or close

34kurt

Answer:

x>14

Step-by-step explanation:

X-3> 11

Add 3 to each side

X-3+3> 11+3

x > 14

The hole is open at 14 since it is greater than

( it would be closed if it were ≥) The line goes to the right since it is greater than

3 0

3 years ago

if we increased one side of a square by 5 units and decreased the other by 3 units the area of the resulting rectangle would be

zvonat [6]

Answer:

18 units

Step-by-step explanation:

So let's list out the sides.

for the first square let's just call them x

for the second square then they would be x+5 and x-3

So let's write out their areas we will cal the area of the first one z

x*x = z

(x+5)*(x-3) = z+21

since z = x^2 we can set up the second equation as a quadratic.

(x+5)*(x-3) = x^2 + 21

x^2 - 3x + 5x - 15 = x^2 + 21

But look, the x^2s cancel out

2x - 15 = 21

2x = 36

x = 18

Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.

3 0

3 years ago