All categories

3 years ago

Solve the following equation for x

1 answer:

4 0

Hi there!

$5( - 3x - 2) - (x - 3) = - 4(4x + 5) + 13$

First we want to get rid of the parentheses.
$- 15x - 10 - x + 3 = - 16x - 20 + 13$

Now we collect terms on both sides of the equation
$- 16x - 7 = - 16x - 7$

Since both sides of the equation are the same, every number is a correct solution to this equation. (Whatever number you choose to fill in will be correct).

You might be interested in

A circle with radius 12 cm has a segment with a central angle of 60. What is the area of the segment?

slava [35]

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

=============================================================

Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

8 0

3 years ago

How do you know that 8 over 10 and 48 over 60 are equivalent

beks73 [17]

8/10 and 48/60 are equivalent because you can see the 48/60 can divide by 8/10 is 6, you just have to see if the larger fraction can divide the smaller one.

3 0

4 years ago

Read 2 more answers

WILL GIVE BRAINLIEST!! Why does 0.9999999... equal 1

weeeeeb [17]

Answer:

9, among other ways denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999, ...). This number is equal to 1.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What number is missing from this pattern1,5,13,25,_,61,85

katrin2010 [14]

First number is 5.
second is 5 + (4 * 2) = 5 + 8 = 13

third is 5 + (4 * 2) * (4 * 3) = 5 + 8 + 12 = 25

fourth is 5 + (4 * 2) * (4 * 3) + (4 * 4) = 5 + 8 + 12 + 16 = 41

fifth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) = 5 + 8 + 12 + 16 + 20 = 61

sixth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) + (4 * 6) = 5 + 8 + 12 + 16 + 20 + 24 = 85

So missing number is 41

4 0

3 years ago

A study of the properties of metal plate-connected trusses used for roof support† yielded observations on axial-stiffness index

Zigmanuir [339]

Answer and Step-by-step explanation:

a. Yes, since the highest standard deviation (s4 = 44.51) is significantly more than double the lowest (s3 = 20.83) is plausible.

hence, the second option is correct

(b) The testing of relevant hypothesis using the output is shown below:

As we see that

The 0.05 is more than the F test P-value i.e 0.0000

So ultimately P-value is less

Therefore we have to reject the null hypothesis

Since p-value is less than 0.05 so we reject the null hypothesis.

Therefore, the third option is correct

Since the sample size is the same so for Tuley's HSD it would also same i.e for each pair

Now Tuley's HSD is

$HSD=4.10\cdot \sqrt{\frac{1049}{7}}=50.19$

The table that reflects the difference in means in different level is as follows

Levels Difference in mean

4-6 34.85

4-8 41.92

4-10 74.15

4-12 103.96

6-8 7.07

6-10 39.3

6-12 69.11

8-10 32.23

8-12 62.04

10-12 29.81

Now the table of significant difference is

Levels Difference in mean

4-10 74.15

4-12 103.96

6-12 69.11

8-12 62.04

3 0

3 years ago