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andrew-mc [135]
2 years ago
8

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

rying 10 gallons of fuel, the airplane weighs 2064 pounds. When carrying 45 gallons of fuel, it weighs 2288 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?
Mathematics
1 answer:
fenix001 [56]2 years ago
7 0

Answer:

Now, to answer the question, we need to add the weight of (58-42) = 16 gallons of fuel to the weight of the plane

carrying 42 gallons of fuel, 2331 pounds.

So, the answer is 2331 + 16*5.5 = 2419 pounds.

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5. (9r 3 + 5r 2 + 11r) + (-2r 3 + 9r - 8r 2)
ad-work [718]

Answer:

7r³ - 3r² + 20r

Step-by-step explanation:

(9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²)

You can get rid of the parentheses since there is nothing to distribute.

9r³ + 5r² + 11r - 2r³ + 9r - 8r²

Combine like factors.

7r³ - 3r² + 20r

3 0
2 years ago
What two consecutive integers does 20−−√ fall between?
Alex_Xolod [135]

Answer:

4 and 5

Step-by-step explanation:

8 0
2 years ago
Which points are on the graph of the equation - 3x + 6y + 5 = -7?
ludmilkaskok [199]

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

A:

  • -3(-3) + 6(6) + 5 = -7
  • 9 + 36 + 5 = -7
  • 50 = -7
  • 50 \neq -7
  • A. cannot be the answer, as 50 does not equal -7.

B:

  • -3(-2) + 6(0)+5=-7
  • 6+0+5=-7
  • 11=-7
  • 11\neq -7
  • B. cannot be the answer, as 11 does not equal -7.

C:

  • -3(0) + 6(-2) + 5 = -7
  • 0 - 12 + 5 = -7
  • -12 + 5 = -7
  • -7 = -7
  • C. can be the answer, as -7 does equal -7.

D:

  • -3(6)+6(-3)+5=-7
  • -18-18+5=-7
  • -36+5=-7
  • -31\neq -7
  • D. cannot be the answer, as -31 does not equal -7.

E:

  • -3(8) + 6(2) + 5 = -7
  • -24 + 12 + 5 = -7
  • -12 + 5 = -7
  • -7 = -7
  • E. can be the answer, as -7 does equal -7.
4 0
2 years ago
Suppose you invest $400 at an annual interest rate 7.6% compounded continuously. How much will you have in the account after 1.5
goldfiish [28.3K]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}
3 0
3 years ago
The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=
boyakko [2]

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

6 0
2 years ago
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