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maksim [4K]
3 years ago
15

Twenty-five more than four times a number is equal to the difference between 109 and twice the number. Find the number.

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

14

Step-by-step explanation:

write the question down exactly how you read it.

the equation is, 25 + (4x) = 109 - (2x)

subtract 25 from 109 and you'll end up with

4x = 84 - 2x

add 2x to 4x and then you will have 6x =84

divide 84 by 6 and you'll end up with 14 = x

14 is the answer

SOLVING THE WITHOUT WORDS:

25 + (4x) = 109 - (2x)

-25. -25

4x = 84 - 2x

+2x. +2x

6x = 84

6/ 6/

x = 14

Len [333]3 years ago
7 0

Answer:

i dont understand

Step-by-step explanation:

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Which values are solutions to × > 7? A. × = 11 and × = 1 B. × = 0 and × = 8 C. × = 8 and × = 11 D. × = -8 and × = 0
ivanzaharov [21]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
2. Mark has scored 12, 14, 10, 8, and 5 points in the past 5 basketball games. Write and solve the inequality that
marusya05 [52]

Answer:

  Mark must score at least 11 points to have an average of 10 points per game.

Step-by-step explanation:

The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...

  (12 +14 +10 +8 +5 +p)/6 ≥ 10

  49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify

  p ≥ 11 . . . . . . . . . . . subtract 49

Mark must score at least 11 points in the next game to average at least 10 points per game.

_____

<em>Additional comment</em>

Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.

5 0
3 years ago
A basketball player made 77 out of 100 attempted free throws. What percentage of free throws was made?
Sloan [31]

Answer:

77%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 p
Harman [31]

According to the p-value, the correct option regarding the decision of the test hypothesis is:

v. No, because 0.283 > 0.05.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if the proportion is still of 0.53, that is:

H_0: p = 0.53

At the alternative hypothesis, we test if it has increased, that is:

H_1: p > 0.53.

<h3>What is the decision according to the p-value?</h3>

  • If p-value > significance level, we do not reject the null hypothesis.
  • If p-value < significance level, we reject the null hypothesis.

In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.

More can be learned about p-values at brainly.com/question/16313918

3 0
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