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3 years ago

Ten less than three times the sum of a number and five is equal to twenty-nine. What is the number ?

1 answer:

3 0

Hello!
So the following would be your equation.
3(x+5)-10= 29
Your first step would be to use the Distributive Property based upon PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Since we have Parenthesis, we distribute first.
3(x+5)-10=29
^ ^
——————
So, your new equation would be—
3x+15-10=29
Now, you need to combine like terms—
15-10=29
3x+5=29
——————
Therefore your new equation is—
3x+5=29.
Now you need to move the constants (5,29) to one side of the equal sign. To do this, you would use the Subtraction Property of Equality and rid the 5–
3x+5=29
-5 -5
——————
Your equation is now—
3x=24.
Finally, you need to remove the 3 from x. This means you must use the Division Property of Equality, and rid the 3.
3x=24
— —
3 3
Your solved equation is—
X=8

Hope this helped!
~KayEmQue

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Answer:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the weights and highway fuel consumption amounts of seven types of automobile.

P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.

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A badminton club has 330 members. 240 are adults and the rest are children. Two thirds of the children are boys and the rest are

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Answer:

The number of boys last year will be 50 boys

Step-by-step explanation:

330 members with 240 adults

The number of children will be;

330-240 = 90

2/3 of 90 are boys

= 2/3 * 90 = 60 boys

Number of girls is 90-60 = 30

Ratio of adults:boys:girls

= 240:60:30

divide through by 30

= 8:2:1

b) A year ago, there were 200 adults but the ratio still remains same

Let the number of girls be x, the number of boys will be 2x

Thus, total number is 200 + x + 2x = 200 + 3x

Total ratio is 8 + 2 + 1 = 11

mathematically;

8/11 * (200 + 3x) = 200

8(200 + 3x) = 11(200)

1600 + 24x = 2200

24x = 2200-1600

24x = 600

x = 600/24

x = 25

So the number of boys will be 25 * 2 = 50

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What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?

AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

$6, 7, 13, 20, ...$

It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

$d = 7-6=1$ , $d = 13-7=6$

As d is not same. Hence, it cannot be an arithmetic sequence.

It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

$r = 7-6=1$ , $r = 13-7=6$

$r = \frac{7}{6}$ , $r = \frac{13}{7}$

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

${\displaystyle F_{1}=1$

and

$F_{n}=F_{n-1}+F_{n-2}$

for n > 1.

Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence

Learn more about sequence from brainly.com/question/10986621

#learnwithBrainly

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