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3 years ago

Solve:3x+3y=27 and its algebra

Mathematics

2 answers:

zlopas [31]3 years ago

7 0

Answer: X=9-y

Step-by-step explanation:

Vesna [10]3 years ago

7 0

Answer:

x = 9 - y

y = 9 - x

Step-by-step explanation:

<h2>Solving for X:</h2>

$3(x + y) = 27$

$x + y = \frac{27}{3}$

$x + y = 9$

$x = 9 - y$

<h2>Solving for Y:</h2>

$3(x + y) = 27$

$x + y = \frac{27}{3}$

$x + y = 9$

$y= 9 - x$

Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.

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Alonzo needs to memorize words on a vocabulary list for Spanish class. He has

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The answer is 16.
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3 years ago

You create 15 centerpieces for a party in 5 hours.

barxatty [35]

A) 3 centerpieces per hour because 15/5 = 3
b) 14 hours, because 3 goes into 42 14 times exactly.
Hope this helps!

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3 years ago

A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an

Westkost [7]

Answer:

the first graph: line passing through the points (3, 0) and (0,2), and the shaded region is below the line.

Explanation:

1) Find the expression that represents the situation.

The expression that represents the situation is an inequality:

Number of orders of paper clips: x
Weight of an order of paper clips: 2 lbs
Total weight of x orders of paper clips: 2x

Number of orders of packing tape: y
Weight of an order of packing tape: 3 lbs
Total weight of y orders of packing tape: 3y

Total weight of paper clips and packing tape in a bag: 2x + 3y

Maximum weight hold by the hook: 6 lbs

Hence, the total weight must be less than or equal to (≤) 6 lbs, which is:

2x + 3y ≤ 6

2) Graph of the inequality 2x + 3y ≤ 6

Line:

Border line: 2x + 3y = 6

x-intercept: y = 0 ⇒ 2x = 6 ⇒ x = 6 /2 ⇒ x = 3 ⇒ point (3,0)
y-intercept: x = 0 ⇒ 3y = 6 ⇒ y = 6 /3 ⇒ y = 2 ⇒ point (0,2)

Shaded region:

Symbol ≤ means that the line is included, which is represented with a solid line, and the region is below the line.

Conclusion: the graph is the line passing through the points (3, 0) and (0,2), and the shaded region is below the line, so that is the first graph of the picture.

Note: strictly speaking, you should include the restrictions that the variables x and y cannot be negative, with which the graph would be only on the first quadrant but those constrains are not handled in the problem.

The graph is also attached.

5 0

3 years ago

Read 2 more answers

Which of the following are solutions to the equation below 3x^2+27x+54=0

VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

7 0

4 years ago

Read 2 more answers

Solve the system of the linear equation 6x+y=-2 and y=-3x+1

kenny6666 [7]

6x - 3x + 1 = -2
3x = -3
x = -1

y = -3*-1 + 1
y = 3 + 1
y = 4

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3 years ago