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3 years ago

Simplify the expression. -2/3c -9/5 + 14c + 3/10

Mathematics

2 answers:

Firlakuza [10]3 years ago

6 0

Answer:

40/3 c-3/2

Step-by-step explanation:

calculate the sum

<u>-2/3c</u>-9/5<u>+14c</u>+3/10

<u>40/3c</u> -9/5+3/10

40/3c-<u>3/2</u>

=40/3c-3/2

Andrew [12]3 years ago

5 0

Answer:

$13 \frac{1}{3} c - 1 \frac{1}{2}$

Step-by-step explanation:

We want to combine alike terms so

-2/3c+14c & -9/5+3/10

14c-2/3

$\frac{14}{1} c - \frac{2}{3} c$

Multiply 14/1 by 3/3 to get the denominators the same

$\frac{42}{3} c - \frac{2}{3} c$

Subtract

$\frac{40}{3} c$

simplify

$13 \frac{1}{3} c$

now

$\frac{3}{10} - \frac{9}{5}$

Multiply 9/5 by 2/2

$\frac{3}{10} - \frac{ 18}{10}$

Subtract

$- \frac{15}{10}$

Simplify

$- 1 \frac{1}{2}$

put both together

$13 \frac{1}{3}c - 1 \frac{1}{2}$

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago

The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of

Natalka [10]

The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

Let x = length of base and leg

The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base

   P = b₁ + b₂ + 2(leg)
   28 = 3x + 5x + 2(x)
   28 = 8x + 2x
28/10 = 10x/10
2.8 = x

Now, substitute the values:
     P = b₁ + b₂ + 2(leg)
   28 = 3(2.8) + 5(2.8) + 2(2.8)
28 = 8.4 + 14 + 5.6
28 = 28

Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

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3 years ago

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Stolb23 [73]

Answer:

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Step-by-step explanation:

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4 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago