Ask question

Ask question

All categories

1 year ago

8

The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreas

ed by 1, the number obtained is 3/2. Find the fraction.

1 answer:

MA_775_DIABLO [31]1 year ago

3 0

Answer: $\frac{13}{21}$

Step-by-step explanation:

2( N+ 17) = 3 (N +7)

2N+ 34= ·3N+ 21

N= 13

D= N+8 = 13+8 = 21

Fraction is $\frac{13}{21}$

When Im using N is equal to numerator and D for denominator, in order to get the fraction we substitute and the results combine in the fraction like this $\frac{N}{D}$

You might be interested in

What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable t

aev [14]

Answer:

$y=-\frac{2}{3}x+2$

Step-by-step explanation:

y = -2/3 x + 2

5 0

3 years ago

Read 2 more answers

2. Find the area and circumference of the circle to the right.<br>16.6 m<br>

adoni [48]

Answer:

AREA:

$A=216.42m^2$

CIRCUMFERENCE:

$C=52.15m$

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

$A=\pi r^2$

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

$C=2\pi r$

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

$r=\frac{16.6m}{2}=8.3m$

Substituting the radius, you get that the area and the circumference are:

AREA:

$A=\pi (8.3m)^2=216.42m^2$

CIRCUMFERENCE:

$C=2\pi (8.3m)=52.15m$

7 0

3 years ago

Read 2 more answers

Part B: Give an example of an undefined term and how it relates to a circle. (5 points)

ivann1987 [24]

Answer:

hello

Step-by-step explanation:

hello

5 0

3 years ago

Read 2 more answers

The ratios of the measures of the angles in triangle XYYZ is 7:13:16. Find the measures of the angles

kirza4 [7]

Answer:

let the angles be 7x , 13x , 16x

7x + 13x + 16x = 180 ( sum of angles in a triangle is 180 degree)

36x = 180

x = 180 / 36

x = 5

therefore the angles are:

7 X 5 = 35 degree

13 X 5 = 65 degree

16 x 5 = 80 degree

plz mark me as the brainliest

8 0

2 years ago

A random sample of 25 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.54 mm and sample stan

lisabon 2012 [21]

Answer: (3.46, 3.62)

Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

$\overline{x}\ \pm\ t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

, where n = sample size.

$t_{\alpha/2}$ = Two-tailed t-value for significance level of $(\alpha)$ and degree of freedom df= n-1.

$s$ = sample standard deviation.

As per given , we have

$\overline{x}= 3.54$ mm

s= 0.20 mm

n= 25

Significance level $=\alpha=1-0.95=0.05$

Since population standard deviation is not given , it means the given problem has t- distribution.

Two-tailed t-value for significance level of $(0.05)$ and degree of freedom df= 24:

$t_{\alpha/2\ ,df}=t_{0.025,\ 24}=2.0639$

95% Confidence interval for population mean:

$3.54\ \pm\ (2.0639)\dfrac{0.20}{\sqrt{25}}$

$=3.54\ \pm\ (2.0639)\dfrac{0.20}{5}$

$=3.54\ \pm\ (2.0639)(0.04)$

$=3.54\ \pm\ 0.082556$

$=(3.54- 0.082556,\ 3.54+ 0.082556 )=(3.457444,\ 3.622556)\approx(3.46,\ 3.62)$

Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

7 0

3 years ago