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Ugo [173]
3 years ago
6

Use the Echelon Method 1. Solve x + 3y = 7 3x + 4y = 11

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

x = 1     y = 2

Step-by-step explanation:

x + 3y = 7

- Subtract x from both sides.

3y = -x + 7

- Divide both sides by 3 to isolate the variable.

y = -1/3x + 7/3

- Plug the value of y into the other equation.

3x + 4(-1/3x + 7/3) = 11

3x - 4/3x + 28/3 = 11

- Add like terms.

5/3x + 28/3 = 11

5/3x = 5/3

x = 1

- Plug the value of x into the equation.

x + 3y = 7

(1) + 3y = 7

3y = 6

y = 2

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galben [10]
Well what is 180-54-54 then you will have your answer because any triangle or straight line always equals 180
6 0
4 years ago
An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.
Scrat [10]

Answer:

Step-by-step explanation:

1. A boutique is offering a 15% discount on a dress. Calculate the cash price for the dress if the marked price is $2300.

2. An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.

3. A television set has a selling price of $1950. A 10% discount is offered for cash. What amount is the cash price to the customer?

4. A store is having a sale on dining sets. The marked price is $47,320, however a discount of 12% is being offered for cash. Calculate the cash price of the dining set.

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Light behaves mainly like a wave but it can also be considered to consist of tiny packages of energy called photons. Photons carry a fixed amount of energy but have no mass. They also found that increasing the intensity of light increased the number of electrons ejected, but not their speed.

4 0
2 years ago
Can i pls get help asap i will give brainly if the answer is right
Zanzabum
<h3>Answer:   0.5</h3>

This is equivalent to the fraction 1/2

==============================================================

Explanation:

The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.

|A-B| = |-5-(-8)| = |-5+8| = |3| = 3

or

|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3

We can say that segment AB is 3 units long.

--------------------------

The distance from A' to B' is 1.5 units because...

|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5

or

|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5

The absolute values ensure the distance is never negative.

We can say A'B' = 1.5

---------------------------

Now divide the lengths of A'B' over AB to get the scale factor k

k = (A'B')/(AB)

k = (1.5)/(3)

k = 0.5

0.5 converts to the fraction 1/2.

The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.

3 0
3 years ago
Another one pls help!!
Mumz [18]

Answer:

21/41

Step-by-step explanation:

Find the total number of students

6+7+2+3+6+8+4+5=41

Then find the students that do not study chemistry

6+7+2+5 = 20

P( not study chemistry) = do not study chem)/total

                                       =21/41

5 0
4 years ago
Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?
anygoal [31]

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

7 0
3 years ago
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