Answer:
B) 12
Step-by-step explanation:
(9y + 7)° + (7y - 19)° = 180° (interior angles in the same side of transversal)
(9y + 7 + 7y - 19)° = 180°
(16y - 12)° = 180°
16y - 12 = 180
16y = 180 + 12
16y = 192
y = 192/16
y = 12
£67.00 / 7= £9.57that’s how much cost the hat
£67.00-£9.57= £57.43
£57.43/7= £8.20 per T-shirt
Answer:
5 people trust none of the candidates
Step-by-step explanation:
To know how many people surveyed trust none of the candidates we need to find:
- People that trust all three candidates: 5
- People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
- People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
- People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
- People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
- People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
- People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20
Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:
5 + 12 + 7 + 2 + 24 + 25 + 20 = 95
Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.
2x+y=6
y=6-2x and y=x^2-4x+3
The solution occurs when they are equal so we can say y=y which is:
x^2-4x+3=6-2x add 2x to both sides
x^2-2x+3=6 subtract 6 from both sides
x^2-2x-3=0 factor
(x+1)(x-3)=0
So x=-1 and 3, using y=6-2x we find the corresponding y values...
y(-1)=6--2=8, y(3)=6-6=0 so the two solutions are the points:
(-1,8) and (3,0)
Answer:
<u>x = 8 and y = 5</u>
Step-by-step explanation:
The question is as following:
what is x and y for the following system of equations:
50x + 30 y = 550 ⇒ (1)
44x + 36 y = 532 ⇒ (2)
Subtract (1) - (2)
∴ 6x - 6y = 18
Divide both sides by 6
∴ x - y = 3
∴ x = 3 + y ⇒ (3)
Substitute with the value of x at (1)
50(3+y) + 30y = 550
Solve for y
150 + 50y + 30y = 550
80y = 550 - 150 = 400
∴ y = 400/80 = 5
Substitute with the value of y at (3)
∴ x = 3 + y = 3 + 5 = 8
<u>So, x = 8 and y = 5</u>
