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3 years ago

What should be the first step in solving 13 y − 14 = 42?

Mathematics

1 answer:

AveGali [126]3 years ago

8 0

Answer:

The first step should be adding 14 to both sides of the equation.

Step-by-step explanation:

14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.

Once 14 is added on both sides, you'll get:

13y = 56.

Then 13 would be divided from both sides.

y = 4.3

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The diagram shows two regular shapes

Bond [772]

Answer:

x = 144°

Step-by-step explanation:

In the figure given , two regular polygons are given to us. Since the polygon has five sides , it is a regular Pentagon. We know that each angle of a regular Pentagon is 108° .

So , here as per figure two regular Pentagons are attached base to base . Now , we know that,

Measure of complete angle is 360° .
Measure of regular polygon's angle is 108°.

According to Question ,

⇒ 108° + 108° + x = 360°

⇒ 216° + x = 360°

⇒ x = 360° - 216°

⇒ x = 144°

<h3>Hence the value of x is 144° </h3>

7 0

3 years ago

The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Su

katrin [286]

Answer:

3.566%

Step-by-step explanation:

The probability formula for a poisson distribution is:

$P( k )=\frac{\lambda^{k}e^{-\lambda}}{k!} \\$

λ is the average of events

e is the euler's number

k is the number of events you want to know the probability

For this :

λ = 8.9 (on average the number of tickets is 8.9 per day)

k = 4 (you need to find the probability that exactly 4 tickets are written per day)

$P( k=4 )=\frac{8.9^{4}e^{-8.9}}{4!}=0,03566 =3.566\%$

6 0

3 years ago

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l

inn [45]

We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0

3 years ago

Complete the statement. 469.1 mg = g

Goryan [66]

469.1 mg = .4691 g. Hope I helped. =)

7 0

3 years ago

Read 2 more answers

Find the measure of each angle in the triangle.

ValentinkaMS [17]

Answer:

x=26°