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Rudik [331]
3 years ago
7

5x – 4y=8 -x + 2y = -4 1. 2. 44 - by = -6 4x – 4y = -8

Mathematics
1 answer:
ycow [4]3 years ago
8 0

-x + 2y = -4

-x = -2y - 4

x = 2y + 4

5(2y + 4) - 4y = 8

10y + 20 - 4y = 8

6y + 20 = 8

6y = -18

y = -3

-x + 2y = -4

-x + 2(-3) = -4

-x - 6 = -4

-x = 2

x = -2

The coordinate pair is (-2, -3) (x = -2, y = -3.)

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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Question 7 )
soldier1979 [14.2K]

<em>Answer:</em>

<u>Tony</u> has 45 dollars  

<u>Milan</u> has 15 dollars

<u>Lucy</u> has 25 dollars

<em>Explanation:</em>

<u>Let </u><u><em>x</em></u><u> represent the amount of money Milan has in his wallet.</u>

TONY: 3x

MILAN: x

LUCY: x+10

<u>Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.</u>

<u />

3x+x+x+10=85

5x+10=85

5x=75

x=75/5

x=15

Tony has 45 dollars (3*15=45)

Milan has 15 dollars (x=15)

Lucy has 25 dollars (10+15=25)

7 0
2 years ago
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)

<h3 /><h3>Step 1</h3>

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}

<h3>Step 2</h3>

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

<h3>Step 3</h3>

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
2 years ago
One-half of the sum of a number and 6 is less than 25. What is the number
Leno4ka [110]

Answer:

44

Step-by-step explanation:

1/2(n + 6) < 25         Distribute

1/2n + 3 < 25

       - 3     - 3           Subtract 3 from both sides

1/2n < 22                  Multiply both sides by 2 or divide by 1/2

n < 44

If this answer is correct, please make me Brainliest!

4 0
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Answer:

A.

Step-by-step explanation:

Because they are both subtracting, both lines have to go to the left

4 0
3 years ago
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Answer:

Mr. Z ?

Step-by-step explanation:

5 0
2 years ago
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