Y = 2x + 3
y = 2(3) + 3
y = 6 + 3
y = 9
6:5
- there are 165 counters in the bag.
let the white counter be x
2x + x = 165
divide both sides by 3
there are 55 white counters in the bag
165-55=110
OR
2x= 165
divide both sides by 2
x= 110
- there are 110 black counters in the bag
- Martine takes 40%of the black counter
40%= 40/100×110
= 44.
- 44 black counters was taken out of the bag
- then there would be 66 black counters left I.e(110-44=66)
▪︎ there would be 66 black and 55 white counters in the bag.
- ratio of black counters to the white counter = 66:55
- reduced to the lowest term = 6:5 ( 11 divides 66 and 55 Into 6 and 5)
• the answer is 6:5
Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because 
.
It is also given that 
and 
.
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.
The value of cos(F) is 
.
The value of sin(F) is .
The value of sin(D) is .
The value of tan(F) is 1. Which is not equal to .
The value of cos(D) is .
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.
Answer:
3/5 y +9/10 z
Step-by-step explanation:
4/5 y + 7/10 z - 1/5 y + 1/5 z
4/5 y - 1/5 y + 7/10 z + 1/5 z
We need to get a common denominator for the z term of 10
4/5 y - 1/5 y + 7/10 z + 1/5 *2/2 z
4/5 y - 1/5 y + 7/10 z + 2/10 z
3/5 y +9/10 z
