Answer:
–9t − 19t + 9t − –18t − t = 14
t = -7
Step-by-step explanation:
Hope this helps!!
Answer:
176000cm
Step-by-step explanation:
1.76km * 1000m / 1km * 100cm / 1m = 176000cm
Answer:
$2,484
Step-by-step explanation:
1) Multiply 2300 x .04 because 4% is added yearly. That's 92.
2) Multiply that answer by 2 since the amount is compounded for two years. 92 x 2 = 184.
3) Add the interest and original amount together. 2300 + 184 = $2484
Answer:
$(80.5x + 69)
Step-by-step Explanation:
Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.
Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.
Thus, Gloria buys:
4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)
2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)
10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)
8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)
Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)
Open the parentheses and then simplify:
Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x
= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36
Total cost = $(80.5x + 69)
Answer:
Angle A is 77°
x = 3
AC = 13
Step-by-step explanation:
Angles A, B and C MUST add up to 180°. If Angle C is 26°, then the sum of A and B and 26° = 180°. In other words, A+B = 180° - 26° = 154.
Since A and B are equal, A = B = 154°/2 = 77°
Since this triangle is isosceles, sides AC and BC are equal. Thus,
7x - 8 = 3x + 4, or
4x = 12. Then x = 3.
Since AC = 7x - 8, and x = 3, AC = 7(3) - 8 = 21 - 8 = 13
