8.40/3 = £2.80 each
...............
Answer:
$105
Step-by-step explanation:
Multiply 1,500 (the price) by the tax 0.07 = $105
He rode his bike 45 minutes each day:
45x6 = 270 total time cycled
Jogging time = total workout time - cycle time/6
360-270= 90/6= 15 minutes jogged each day
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
Answer:
Option B
Step-by-step explanation:
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite
so
![m\angle PTR=\frac{1}{2}[arc\ PR+arc\ QS]](https://tex.z-dn.net/?f=m%5Cangle%20PTR%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PR%2Barc%5C%20QS%5D)
substitute the given values
![m\angle PTR=\frac{1}{2}[140^o+106^o]](https://tex.z-dn.net/?f=m%5Cangle%20PTR%3D%5Cfrac%7B1%7D%7B2%7D%5B140%5Eo%2B106%5Eo%5D)
