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Eduardwww [97]
4 years ago
15

0.28 + 0.2x = 1.5 ÷ 3 · 6.2 − 1.3

Mathematics
1 answer:
torisob [31]4 years ago
7 0
0.28 + 0.2x = 1.5/3 • 6.2 - 1.3
Calculate the expression
0.28 + 0.2x = 3.1 -1.3
Subtract the numbers
0.28 + 0.2x = 1.8
Move constant to right hand side and change it’s sign
0.2x = 1.8 - 0.28
Subtract the numbers
0.2x = 1.52
Divide both sides by 0.2 because we want the x alone
X = 7.6

(Different answers)
X = 38/5
X = 7 3/5
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Consider the system of linear equations 2x + 3y = 8 and 3x + y = –2. Which statement is correct?
Ipatiy [6.2K]

Answer:

<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>

Step-by-step explanation:

<u>System of Equations</u>

Consider the following system of equations

2x + 3y = 8      [1]

3x + y = -2       [2]

And the point (1,2). Substituting in both equations:

For equation [1]:

2*1 + 3*2 = 8

2 + 6 = 8

8 = 8

Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8

Now for equation [2]:

3*1 + 2 = -2

3 + 2 = -2

5 = -2

Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2

Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.

8 0
3 years ago
Read 2 more answers
You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player
Sedaia [141]

Answer:

C = 75 in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.

This means that \mu = 69, \sigma = 2.9

Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 69}{2.9}

X - 69 = 1.96*2.9

X = 74.7

Rounded to the nearest inch,

C = 75 in

3 0
3 years ago
The first inverse operation you would use to solve the equation 2+5x= -8 for x is subtraction. true or false?
jok3333 [9.3K]

Answer:

It would be True

Step-by-step explanation:

2+5x = -8

SUBTACT 2 on both sides and it would look like this:

5x = -8 - (2)

5X= -10

then DIVIDE 5 both side to get "X" ALONE,

x= -10/5

then divide -10 with 5

equal to:

x = -2

4 0
3 years ago
Y/6 - 7=4 plz answer
Vikentia [17]

Answer:

=66

Step-by-step :

y/6 -7=4

y/6+6(-7)/6 =4

6*y-42/6=6*4

y-42=6 * 4

y-42=24

y-42+42 -24+42

=66

7 0
3 years ago
Find largest three consecutive even integers with a sum is at most 126
Leona [35]

x + x + 2 + x + 4 <=  126     (where x is the first of the numbers)

3x <= 120

x <=  40  

So the numbers are 40 , 42 and 44.

5 0
3 years ago
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