An equation and the steps to solve it are shown below: 3x-1/5(10x+5)=6

1 answer:

8 0

$3x-\dfrac{1}{5}(10x+5)=6\qquad\text{use distributive property}\\\\3x-\left(\dfrac{1}{5}\right)(10x)-\left(\dfrac{1}{5}\right)(5)=6\\\\3x-2x-1=6\qquad\text{add 1 to both sides}\\\\\boxed{x=7}$

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Kailey exercises for 45 minutes three days a week and 30 minutes two days a week. How many minutes will she need to exercise on

GuDViN [60]

Answer:

150 minutes

Step-by-step explanation:

7 0

2 years ago

If m∠CED = 56° and m∠AEB = (7x – 8)° then what is m∠BEC?

fredd [130]

Using the definition of angles on a straight line, the measure of angle BEC is: 62°.

<h3>What are Angles on a Straight Line?</h3>

Angles that lie on a straight line add up to 180 degrees.

Thus, given that EB bisects ∠AEC, therefore:

m∠BEC = 1/2(180 - m∠CED)

Plug in the values

m∠BEC = 1/2(180 - 56)

m∠BEC = 1/2(124)

m∠BEC = 62°

Thus, using the definition of angles on a straight line, the measure of angle BEC is: 62°.

Learn more about angles on a straight line on:

brainly.com/question/24024505

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1 year ago

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$