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stepladder [879]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

D. It has a single solution: x=-3, y= 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17

Now plug in

x + 2 (-3x+17) = 49

x + -6x + 34 = 49   (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = -3  (divide -5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17  (divide 2 on both sides to get y alone)

(-3, 26)

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A CD player is on sale for $90 at an electronics store. If the original price was $125, what was the percent of discount
krek1111 [17]
This is the working of how it is 28% discount

Find the amount of discount : $125 - $90 = $35
Divide by the original price : $35/125 = 0.28
Change in to percentage : 0.28 x 100 = 28%

Therefore the percentage discount is 28% off

:)
8 0
3 years ago
ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?
Leviafan [203]

Answer:

Third graph

Step-by-step explanation:

First, find the solution to the equation of inequality given.

2k + 8 < 5k - 1

Subtract 5k from both sides

2k + 8 - 5k < 5k - 1 - 5k

-3k + 8 < -1

Subtract 8 from both sides

-3k + 8 - 8 < -1 - 8

-3k < -9

Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)

\frac{-3k}{-3} > \frac{-9}{-3}

k > 3

The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.

Therefore, the 3rd graph is the answer.

3 0
3 years ago
A new cereal will be advertised in 30-second spots during a morning TV show for children. The ad will run over the next 60 days.
Arturiano [62]
The campaign will cost $216,000
7 0
3 years ago
The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi
cupoosta [38]

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

<h3>What is meant by poison distribution?</h3>

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$, where $\lambda$ is the mean of the distribution and $x=0,1,2,3 \ldots \ldots$

Given that $\lambda=1.8$

The required probability, $P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

To learn more about poison distribution refer to:

brainly.com/question/9123296

#SPJ9

6 0
1 year ago
Which steps should be taken to solve the equation
Leviafan [203]

Answer:

Remove 1 x-tile from both sides.

Remove 3 unit tiles from both sides.

Step-by-step explanation:

2x + 3 = x + 5

First we want all the variables on one side

Subtract x from each side so Remove 1 x-tile from both sides.

x+3 = 5

Now we need to get all the constants on the same side

Subtract 3 from each side so Remove 3 unit tiles from both sides.

x = 5-3

x=2

7 0
3 years ago
Read 2 more answers
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