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just olya [345]
3 years ago
11

Nolan is using substitution to determine if 23 is a solution to the equation. Complete the statements.

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Given the equation j – 16 = 7, If Nolan is using substitution to determine if 23 is a solution to the equation, then Nolan need to make j the subject of the formula from the equation. The following statements must therefore be made by Nolan.

First, Nolan must substitute for the value of j in the equation.

To simplify, Nolan must subtract the value of  7 from both sides to have;

j – 16 - 7= 7 - 7

j – 23 = 0

Then Nolan must add 23 to both sides of the equation to get the value of j as shown;

j – 23 + 23 = 0+23

j = 23

23 is therefore a solution to the equation

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Answer correctly and fast please.
Morgarella [4.7K]

Answer:

the answer is 7

Step-by-step explanation:

the right angle is 90°

90-55=35

35÷5=7

5 0
3 years ago
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In a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have
ladessa [460]

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent , Option B is the answer.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen. The range of probability is 0 to 1.

It is given that

In a certain city, 60% of the heads of household own the house in which they reside,

and 80% of the heads of the household have full-time employment.

percentage of heads of household both own their home and have a full-time job =?

As the probability of a person having both their own home and having full time employment are not independent , therefore

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent.

Therefore Option B is the correct answer.

To know more about Probability

brainly.com/question/11234923

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7 0
2 years ago
Write the standard form equation of a circle that passes through (8,7) with the center (3,-5)
Marysya12 [62]

The standard equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where r is the radius and the center is located at (h, k).

Since the center is at (3, -5), we have h = 3 and k = -5.

Now, to calculate the radius, let's use the point (8, 7) in the equation and solve it for r:

\begin{gathered} (8-3)^2+(7-(-5))^2=r^2\\ \\ 5^2+12^2=r^2\\ \\ r^2=25+144\\ \\ r^2=169\\ \\ r=13 \end{gathered}

Therefore the equation of the circle is:

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8 0
2 years ago
1a. Write the equation: You work during the summer mowing lawns. You charge 13
iragen [17]

Answer:

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Step-by-step explanation:

you divide 819 by 13 and you get 63

7 0
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ycow [4]

Answer:

They are independent

Step-by-step explanation:

We have the following events:

* 16% of students play basketball

* 70% of students live in Murfreesboro

They ask us if each of the events are independent of the other, the answer is yes. Since the probability in the first event would be 16/100 and the second event 70/100, and at no time are they affected by each other.

They mention another event that that depends on these two:

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(16/100) * (70/100) = 0.112, which is equal to 11.2%, which is approximate to the event they mention.

8 0
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