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Elina [12.6K]
2 years ago
13

If a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet

will the balloon rise during the 15th minute?
A. 300 feet
B. 320 feet
C. 340 feet
D. 360 feet
E. 380 feet
Mathematics
1 answer:
tresset_1 [31]2 years ago
7 0
The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
                                     an = a1 + (n - 1) x d
Substituting,
                                      an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.
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On Saturday, the Anderson
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Answer:

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

4 0
2 years ago
Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh
gavmur [86]

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

f(x) =\dfrac{x-4}{x^2+13x+36}

Expand the denominator

f(x) =\dfrac{x-4}{x^2+4x +9x+36}

Factorize the denominator

f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}

Factor out x + 9

f(x) = \dfrac{x-4}{(x+9)(x+4)}

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

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8 0
2 years ago
Factor polynomial -3x^2-16x-5
forsale [732]

Answer:

-(3x^2 + 16x + 5)

-(3x+1)(x+5)

Step-by-step explanation:

-1(3x^2+15x+x+5)

-1(3x^2+16x+5)

-3x^2-16x-5

8 0
3 years ago
What is the answer to this equation |x−1|+5=2
barxatty [35]

Answer:

No solutions

Step-by-step explanation:

Isolate the absolute value:

|x−1| + 5 = 2

Subtract 5 from both sides:

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Since an absolute value can never be equal to a negative number, there are no solutions.

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Select the correct answer. adrianna works as a purchasing manager at a trading firm and earns a salary of $60,000. she has deduc
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Answer:

$46,000

Step-by-step explanation:

We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).

So here's what we get

$60,000 - $3,000 - $5,000 - $6,000 = $46,000

<em>P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!</em>

4 0
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