Answer:
3x = y
Step-by-step explanation:
2 * 3 = 6
5 * 3 = 15
Answer:
1. -2 = x
2. 19 = x
3. -22 = b
4. 30 = y
5. -5 = t
Step-by-step explanation:
1. -3x = 6 [-1 to the right side of the equivalence symbol]
2. 5x = 95 [23 to the right side of the equivalence symbol]
3. ᵇ/₂ = -11 [23 to the left side of the equivalence symbol]
4. ⅓y = 10 [7 to the right side of the equivalence symbol]
5. -2t = 10 [13 to the right side of the equivalence symbol]
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Answer:
1) d. 2400
2) d.4200
Step-by-step explanation:
As per given data:
F(x) represents number of fish
x represents number of weeks
Relation between F(x) and x is given as
F(x)= 500 (1.2)x
Now part 1:
How many fish are in the pond after 4 weeks=?
x=4
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(4)
= 2400
Now part 2:
How many fish are in the pond after 7 weeks?
x=7
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(7)
= 4200 !
<span>part A:
Let
t = total the liquid in the bottle including lemon juice and water
so t = lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1
part B:
from part A, you have equation t = 0.6t +1
solve for t
t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5
2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
When two parallel lines are intersected by a transversal line, forming the angles that are supplementary