Divide 13 into 29:
2.230769230769....

13 ) 29.0000000
26
—-
3 0 this remainder repeats 6 steps further down
2 6
——
40
39
——
100
91
——
90
78
—
120
11 7
—-
30 which will lead to a recurring decimal because we had remainder 3 at the beginning

6 0

2 years ago

Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times t

alisha [4.7K]

Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12

3 0

2 years ago

determine the value of x for which r parallels s. then find the measure of angle 1 and the measure of angle 2measure angle 1= 50

Maslowich

According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

$\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}$

x is 3/2. Replace this value in both expression to find the measure of each angle.

$\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}$

The measure of these angles is 47°

7 0

11 months ago

In what rate of interest Rs 4000 amount to Rs 6000 in 2year

PIT_PIT [208]

Principal = Rs 4000

Amount = Rs 6000

Time = 2 years

Rate = ?

Amount = principal + simple interest

Rs 6000 = Rs 4000 + simple interest

simple interest = Rs 6000 - Rs 4000 = Rs 2000

Simple interest = P*R*T/100

Rs 2000 = Rs 4000* R*2/100

R = 100/4 = 25%

8 0

2 years ago