Answer:
B. 14x = 42
Step-by-step explanation:
The figure is composed of a rectangle and a trapezium
(L*W) + [½(a + b)h] = Area of the figure
Where,
Area = 42
L = 2x
W = 3
a = 3 + 4 = 7
b = 9
h = x
Plug in the values
(2x*3) + [½(7 + 9)x] = 42
6x + [½(16x)] = 42
6x + 8x = 42
14x = 42
85 is the answer. 2+ 78 = 80 + 5 += 85.
Answer:
Half of year 2043
Step-by-step explanation:
The function is: f(x) = 3.5√x + 38
where f(x) represents the percentage of U.S. women in the labor force x years after 1960.
Replacing f(x) = 70 and isolating x, we get:
70 = 3.5√x + 38
3.5√x = 70 - 38
√x = 32/3.5
x = 9.14²
x = 83.5
This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
4.05, 1.35, 0.45, 0.15, ...
Since it is a geometric sequence.
So, here, a = 4.05
r = 
So, we know the formula for nth term in geometric sequence.
Hence, First option is correct.
Answer:
x+3x+5=101 (Option C).
Step-by-step explanation:
This question requires to be solved using the supposition method.
Let Aylen's savings be $x. Therefore, Rich's savings would be $(3x+5). This is because it is mentioned that Rich has $5 more than 3 times the amount of money Aylen has. The sum of the savings is $101. Therefore the sum of the savings of Aylen and Rich is given by:
x + 3x + 5 = 101. Thus, Option C is the correct answer.
Solve the equation for x gives x = $24. This is Aylen's share. To calculate Rich's share, simply put x=24 in 3x+5. Thus, Rich's share will be $77.
In short, Rich's share = $77, Alan's share = $24, and this has been calculated using the equation x+3x+5=101 (Option C)!!!
