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Mademuasel [1]
3 years ago
11

the length of a rectangle is 4 units less than 3 times the width. The perimeter is 22 units more than twice of the width. Find t

he Length and the width of the rectangle.
Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
L=Length  W=Width P=Perimeter

L=3w-4
P=2w+22
P=2L+2w=2w+22                 Answer: W=5
2L=22                                                   L=11
L=11
11=3w-4
3w=15
W=5

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monitta
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4 0
2 years ago
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Jaden learns to perform 2 vocal pieces during each week of lessons . How many weeks of lessons will Jaden need before he will be
storchak [24]

Answer:

12 weeks

Step-by-step explanation:

To solve this, all you need to do is divided 24 pieces by the two he learns per week. You'll then find it will take him 12 weeks

6 0
3 years ago
A line passes through the point (-3,-3) and has a slope of 1/2 what is the equation of the line ?
Bezzdna [24]

Answer:

y = 1/2x -1.5

Step-by-step explanation:

The equation of a line is typically written as y = mx + b.

m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.

Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.

y = 1/2x + b

In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.

-3 = 1/2(-3) + b

One half of -3 is -1.5.

-3 = -1.5 + b

Add -1.5 to both sides of the equation.

-3 = -1.5 + b

+1.5  +1.5

-1.5 = b

Since we found the y-intercept, we can now place it into our equation.

y = 1/2x -1.5 and that's the answer!

7 0
3 years ago
Which of the following estimates at a 95% confidence level most likely comes from a small sample
Nikitich [7]

Answer:

Answer is c

Step-by-step explanation:

In hypothesis testing whether to accept or reject null hypothesis, normally we find one method as using confidence interval.  If the test statistic lies within confidence interval, we accept otherwise we reject.

For arriving confidence intervals we add and subtract margin of error from the mean we use in null hypothesis.

Margin of error = std error * critical value of test (Z or t etc)

For the same std deviation, std error = std dev/sq rt of sample size

Thus std error is inversely proportional to the square root of sample size.

If n becomes larger, std error becomes smaller and vice versa.

So margin of error increases for smaller sample size.

Since we have to select confidence level from a small sample, we have to select one which has the greatest margin of error=18

Hence answer is

c)  71%(+/-18%)

5 0
3 years ago
Which term of the arthemetic sequence (1, 3, 5, 7) is equal to 141
Dmitry_Shevchenko [17]

Answer:

71th term is 141

Step-by-step explanation:

a_{1}=1\\\\common \ difference = d = second \ term - first \ term\\\\ = 3 - 1 = 2\\\\a_{n} = 141\\\\a + (n -1)*d = a_{n}

1 + (n - 1)*2 = 141         {Use distributive property}

1 + 2n - 2 = 141    

2n - 1 = 141

2n = 141 + 1

2n = 142

n = 142/2

n = 71

6 0
2 years ago
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