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Zielflug [23.3K]
2 years ago
6

Solve the given system of equations 2x+8y=5 24x-4y=-15

Mathematics
1 answer:
oee [108]2 years ago
7 0

The value of x and y is y= 3/4 and x= -1/2

<h3>What is equation?</h3>

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equations:

2x+8y=5........(1)

24x-4y=-15...........(2)

Multiply equation (1) by 12, we get

24x + 96y = 60.....(3)

From (2) and (3), we get

-4y-96y= -15-60

-100 y= -75

y= -75/-100

y= 3/4

and 2x+8y=5

2x + 8 (3/4) =5

2x + 6 = 5

2x= -1

x= -1/2

Learn more about his concept here:

brainly.com/question/11203869

#SPJ1

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Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
Explain what the variable represents in an addition or subtraction expression
Stels [109]
A varible represents the number u are looking for. 

Example: 
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3 0
3 years ago
Using pemdas what’s the correct solution
SSSSS [86.1K]

4- 2/3 (4-1/6) divided by 3/4

parenthesis first

4 - 2/3 (3 5/6) divided by 3/4

change to an improper fraction (6*3+5)/6

4 - 2/3 ( 23/6)divided by 3/4

4 - 46/18 divide by3/4

copy dot flip

4 - 46/18 * 4/3

4 - 23/9 * 4/3

4 - 92/27

get a common denominator of 27

4*27/27 -92/27

108/27 - 92/27

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4 0
3 years ago
Read 2 more answers
Researchers working the mean weight of a random sample of 800 carry-on bags to e the airline. Which of the following best descri
Sphinxa [80]

Answer:

(E) The bias will decrease and the variance will decrease.

Step-by-step explanation:

Given that researchers working the mean weight of a random sample of 800 carry-on bags to e the airline.

We have to find out the effect of increasing the sample size on variance and bias.

We know as per central limit theorem, sample mean follows a normal distribution with mean = sample mean

and std deviation of sample mean = std error = \frac{std dev}{\sqrt{n} }

Thus std error the square root of variance is inversely proportional to the square root of sample size.

Also whenever we increase sample size the chances of bias would decrease as the sample size becomes larger

So correct answer is both bias and variation will decrease.

(E) The bias will decrease and the variance will decrease.

8 0
3 years ago
The quotient of x and 7 is equal to 13. Define variable and then write an expression to model the situation
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X = the dividend

x ÷ 7 = 13
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