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3 years ago

Solve the inequality 25x + 12y + 4 <= 130

Mathematics

1 answer:

hodyreva [135]3 years ago

6 0

31x is the answer ok

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This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

Liula [17]

Longer side in the figure = 6.3 cm

Scale Factor = 1 cm : 50 m

So, it would be: 6.3 * 50 = 315 m

In short, Your Answer would be: 315 meter

Hope this helps!

6 0

4 years ago

Read 2 more answers

If (8^2)p = 8^4, what is the value of p?

den301095 [7]

The answer is 2.
Explantation:
First, we simplify it to 64^p = 4096.
Then, take the log of both sides:
p = log (4096) / log (64)
p = 2

3 0

3 years ago

The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6). Which statement

vodomira [7]

Hey there! I'm happy to help!

First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.

LINE M

7-12/3-6=-5/-3= <u>5/3</u>

LINE N

1-6/-5+2=-5/-3=<u>5/3</u>

If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.

Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.

I hope that this helps! Have a wonderful day!

7 0

3 years ago

Word form for 607.409

ivann1987 [24]

Six hundred seven and four hundred nine one-thousandths.

6 0

4 years ago

Read 2 more answers