All categories

3 years ago

On a factory floor, 30 out of every 140 toy robots is defective. What percent is defective?

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

$21.43\%$

Step-by-step explanation:

we know that

To find out the percent of robots which are defective, divided the number of defective robots by the total number of robots and multiply the result by 100

Let

x ----> the number of defective robots

y ----> the total number of robots

p ---> percentage of robots which are defective

$p=\frac{x}{y} (100)$

we have

$x=30\\y=140$

substitute

$p=\frac{30}{140}(100)$

$p=21.43\%$

You might be interested in

Which expression is equivalent to 108 - 58 + 8 + 69 +47

Furkat [3]

Answer:

5f+6g+12

Step-by-step explanation:

Combine like terms

10f-5f = 5f

8+4 = 12

5f+6g+12

8 0

2 years ago

Read 2 more answers

−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

$2x\geq -16$

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

$\huge \boxed{ \boxed{ \bf \: x\geq -8 }}$

The correct answer is ⇨ x greater than or equal to -8.

3 0

1 year ago

PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!During a 4-month-long drought, the water level in a lake changed

Dafna1 [17]

Answer:

-78

Step-by-step explanation:

4 Months is -312 so dividing by 4 will give the decrease of one month:

-312 ÷ 4 = -78

3 0

2 years ago

If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai

melomori [17]

Answer:

y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

dy/dx = v + x*dv/dx

- Combine the two equations:

v + x*dv/dx = 0.5*(1/v) + 2.5*v

x*dv/dx = 0.5*(1/v) + 1.5*v

x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

(2v.dv / (v^2 + 1) = dx / x

- Integrate both sides:

Ln (v^2 + 1) = Ln(x) + C

v^2 + 1 = Cx

v = sqrt(Cx - 1)

- Back substitution:

(y/x) = sqrt(Cx - 1)

y = x*sqrt(Cx - 1)

3 0

2 years ago

Find equation of a line through (1,4) and (1,6)

Elena L [17]

Notice the picture below

no matter what value "y" may have, "x" will always be 1

4 0

2 years ago