Answer: 72 cars.
Step-by-step explanation:
Let be "x" the number of toys that Moby had to start with.
According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:
Then he bought 12 more cars, giving a total amount of 48 toy cars.
Therefore, the equation that represents this situation is the equation shown below:
Now you must solve for "x" in order to find its value.
You get that this is:
Growth rate = 200% each year
SO population becomes twice in each year
After 20 years, population = 5* 2^20 = 5242880
(Assuming no deaths occur)
<span>Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.</span>
Answer:
4x4x4 = 64 cubic ft
1 cubic foot = 7.48 gallons
64 x 7.48 = 478.72 gallons
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
