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FromTheMoon [43]
3 years ago
14

How do you solve 45 = 3 (x + 1) using the distributive property?

Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer:

x=14

Step-by-step explanation:

45 = 3 (x + 1)

Distribute the 3 to both terms in the parentheses

45 = 3x +3

Subtract 3 from each side

45-3 = 3x+3-3

42 = 3x

Divide each side by 3

42/3 = 3x/3

14 =x

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Which set of side lengths is a pythagorean triple
Neko [114]
Several examples of side lengths that are Pythagorean triples are the following with the corresponding side lengths A, B, C:

(5, 12, 13), (7, 24, 25), (3, 4, 5)

-E :)


4 0
3 years ago
Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w
Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0
3 years ago
"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students
dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71

95% confidence interval would be

\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0
3 years ago
Please help me asap
Nitella [24]

Answer:

noestiendo

Step-by-step explanation:

3 0
2 years ago
Please help! I’ll give brainliest!:)
bearhunter [10]

Answer:

1467

Step-by-step explanation:

i know this because taking a negative number and a positive is like adding and then you subtract 144 and you get 1467

8 0
2 years ago
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