All categories

2 years ago

Solve the equation showing each inverse operation step:

Mathematics

1 answer:

valina [46]2 years ago

5 0

Answer:

4 2/7 - 6/7 = 24/

= 3 3/

Step-by-step explanation:

Conversion a mixed number 4 2/

to a improper fraction: 4 2/7 = 4 2/

= 4 · 7 + 2/

= 28 + 2/

= 30/

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

= 28/

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

- 6/

= 30 - 6/

= 24/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

You might be interested in

PLEASE HELP ME 20 PTS

podryga [215]

Answer:

The answer is C

Sn=3(1-1/2^n)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

F(x) = (x + 5)(x + 6)

Alenkasestr [34]

Answer:(-5,0) , (-6,0)

Y= (0,30)

Step-by-step explanation:

5 0

3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

HELP PLEASE !!!!!!!!!!!!!!!

nadya68 [22]

Answer:

x=30

Step-by-step explanation:

if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180

6 0

3 years ago

Researchers found a linear relationship between tail-feather length (in mm) and weight (in g) in a random sample of 20 male long

Dafna11 [192]

Answer:

Step-by-step explanation:

As far as I know, this question is not correct. I have the searched the internet and found a similar question which makes sense. In the correct question, 95% Confidence Interval is already given calculated from the software and

<em>95% prediction interval is asked (PI) for the weight of one male long tailed finch weighing 20 g.</em>

We have this data given in the correct question found on internet. And they have calculated this data using software:

New Obs = 20

Fit = 92.34

SE Fit = 5.26

95% Confidence Interval = (81.29, 103.38)

95% Prediction Interval = (67.61, 117.06)

Now, Just look at the prediction interval:

Now the formula for Prediction Interval = Point Estimate ± Margin of Error

Upper limit for prediction interval = 117.06

lower limit = 67.61

Formula for point estimate = (Upper + Lower)/2

Point Estimate = (117.06 + 67.61)/2

Point Estimate = 92.34

Formula for margin of error = (Upper - Lower)/2

Margin of Error = (117.06 - 67.61)/2

Margin of Error = 24.72

Formula for Prediction Interval = Point Estimate ± Margin of Error

PI = 92.34 ± 24.72

4 0

3 years ago