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4 years ago

What do i divide in this equation 3(x+3)=7

Mathematics

2 answers:

Paraphin [41]4 years ago

8 0

Answer:x is 1

Step-by-step explanation:

Liono4ka [1.6K]4 years ago

5 0

Answer:

Step-by-step explanation:

u X 3(x+3)

then u get 3x+3=7

u miunus 3 which is 3x=4

then u divied by 3 to get x by itself

then it would be x=4/3

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Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

Statement 1: "The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

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Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

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Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

$178=x^2+3x-y\\ \\ -6=4x-3y$

8 0

4 years ago

Read 2 more answers

What’s the value of x? :/

kolbaska11 [484]

Answer:

$x = 27$

Step-by-step explanation:

According to congruent chords and arcs theorem, if $\overline{XY} \cong \overline{ZY}$ then $\arc{XY} \cong \arc{ZY}$ .

This means that $\arc{XY} = \arc{ZY} = (6x - 20) degrees$

Thus:

$\arc{XY} + \arc{ZY} + \arc{ZX} = 360$ (full circle = 360°)

$\arc{XY} = (6x - 20)$

$\arc{ZY} = (6x - 20)$

$\arc{ZX} = 76$

Plug in the values into the equation

$(6x - 20) + (6x - 20) + 76 = 360$

$6x - 20 + 6x - 20 + 76 = 360$

Add like terms

$12x + 36 = 360$

Subtract 36 on both sides

$12x = 360 - 36$

$12x = 324$

Divide both sides by 12

$x = 27$

8 0

3 years ago

Please answer this question...

MariettaO [177]

Answer:It should be x=1 not sure thought.

Step-by-step explanation:

4 0

3 years ago

If 1 equals 61.8, then 6 is

Angelina_Jolie [31]

The ratio is 1 to 68.8 or 1 : 61.8 and you're looking for 6 : x so all you have to do is multiply 61.8 by 6 and you get 370.8

5 0

3 years ago

Read 2 more answers

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second wi

Alenkasestr [34]

195 students voted for eagle in the election

What is ratio?

Ratio means expressing the a figure as a fraction of total figure, in the case of falcon, the number of students that voted for falcon is seen as 5 whereas the total number of students that voted is 8 whereas for eagle, the total number of students that voted for eagle is 1 compared to 3 which represents the total number of votes cast.

In a bid to determine the number of students that voted eagle in the election, we would simply multiply total votes of 536 by 1/3

votes for eagle=1/3*586

votes for eagle=195 votes

We have rounded to the nearest whole number since number of votes cannot be fractional

Find out more on fractions:brainly.com/question/11562149

#SPJ4

4 0

1 year ago