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2 years ago

Which is a solution for the equation 3x + 13 = 73?

Mathematics

2 answers:

sweet [91]2 years ago

7 0

Answer:

x=20

Step-by-step explanation:

73-13=60

60÷3=20

viktelen [127]2 years ago

3 0

Answer:

x = 20

Step-by-step explanation:

3x + 13 = 73

3x = 73 - 13

3x = 60

x = 60 : 3

x = 20

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3 years ago

Graph the solution of y - 4 < 2 on a number line.

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Answer:

y<6

Step-by-step explanation:

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3 years ago

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2 years ago

A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is

Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=0)=\dfrac{1}{4} = 0.25$

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=1)=\dfrac{2}{4} = 0.25$

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability=\dfrac{1}{4} = 0.25$

Now, if we draw the table of the data and the probability we will get the following table,

x P(X)

0 0.25

1 0.50

2 0.25

Hence, the table that is correct is table A, which is A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

8 0

2 years ago

A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio

Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

= 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

$x^{2}$ + 12x + 28 = 60

$x^{2}$ + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

4 0

2 years ago