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fenix001 [56]
2 years ago
14

Define a variable, write an equation and SOLVE the equation. Sandy had

Mathematics
2 answers:
Mrrafil [7]2 years ago
8 0
21 dollars each because 189 divided by 9 is 21
notka56 [123]2 years ago
7 0
The answer is 21 because 189 divided by 9 is 21
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Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv
Oliga [24]

Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)                  

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t    Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Some sand weighs 2,800 kilograms. It is divided equally among 4 trucks. How many kilograms of sand are in each truck?
Tamiku [17]

Answer: 700

Step-by-step explanation: 2800 kg / 4 trucks = 700 kg per truck

4 0
3 years ago
Monic and Rachel purchased a tv for $378. Monica paid $36 less then Rachel. How many did each person pay for the tv? Solve using
topjm [15]

Answer:

Monica paid $171 while Rachel paid $207

Step-by-step explanation:

We are told that Monic and Rachel purchased a tv for $378.

Let the amount spent by Monica be X and the amount spent by Rachel be Y.

Thus;

x + y = 378 - - - - (eq 1)

We are told that Monica paid $36 less then Rachel. Thus;

y = x + 36

Or y - x = 36 - - - (eq 2)

Add eq 1 & eq 2 together to give;

2y = 378 + 36

2y = 414

y = 414/2

y = $207

Put 207 for x in eq 1 to get;

x + 207 = 378

x = 378 - 207

x = $171

Thus;

Monica paid $171 while Rachel paid $207

8 0
2 years ago
In a parallelogram whose area is 15, the base is represented by x+7 and the altitude x-7. Find the base of parallelogram.
Sati [7]
Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative

If x = 8, then the base is...
x+7 = 8+7 = 15

Therefore the base is 15 units. 
(the height is x-7 = 8-7 = 1 unit)

7 0
3 years ago
Marcy buys a box containing 5 pizzas at the supermarket. The box of pizzas costs $24.25 and Marcy is charged an additional $1.21
8090 [49]

1/5 of the price of the box of pizzas is about $4.85, and 1/5 of the tax is about $0.24. Marcy's guess that a pizza costs $8.47 is <em>not reasonable</em>. The cost is closer to $5.10.

8 0
3 years ago
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