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4 years ago

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

Mathematics

1 answer:

yaroslaw [1]4 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

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

$p=21.43\%$

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What is 37+8x=4(7-x)

nadezda [96]

Simplifying
37 + 8x = 4(7 + -1x)
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37 + 8x = (28 + -4x)

Solving
37 + 8x = 28 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
37 + 8x + 4x = 28 + -4x + 4x

Combine like terms: 8x + 4x = 12x
37 + 12x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
37 + 12x = 28 + 0
37 + 12x = 28

Add '-37' to each side of the equation.
37 + -37 + 12x = 28 + -37

Combine like terms: 37 + -37 = 0
0 + 12x = 28 + -37
12x = 28 + -37

Combine like terms: 28 + -37 = -9
12x = -9

Divide each side by '12'.
x = -0.75

Simplifying
x = -0.75

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3 years ago

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Answer:

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Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x + 6.

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If x + 1 is a factor then f(-1) will = zero.

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Read 2 more answers

Question 3 (5 points)

Vedmedyk [2.9K]

A quadrilateral that has all congruent sides and all right angles is known as a square.

Given is a quadrilateral with all right angles and congruent sides.

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A four-sided polygon having four sides and four corners is referred to as a quadrilateral in geometry .

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Congruent sides refers to a figure's sides being equal to one another.

We know that,

A square is a quadrilateral with angles that are each 90 degrees.

Additionally, a square has four equal sides, making it a quadrilateral having all sides congruent.

As a result, a square is a quadrilateral with congruent sides and all right angles.

Learn more about quadrilateral here:

brainly.com/question/16691874

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1 year ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .