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Ket [755]
3 years ago
8

Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve and solve an equation to fin

d the height h of th living room ceiling
Mathematics
2 answers:
vfiekz [6]3 years ago
3 0
H=10+(10 1/3) is a correct equation. The answer should be h=13.33
Alisiya [41]3 years ago
3 0

\text{Let the height of the living room ceiling is h feet.}\\
\\
\text{Given that the bedroom ceiling is 10 feet high and this height is }\frac{2}{3}\\
\text{as high as the living room ceiling.}\\
\\
\text{So the equation that represents this situation can be set as:}\\
\\
\frac{2}{3}\ \text{of the height of the living room = Height of ceiling of bedroom}

\Rightarrow \frac{2}{3}(h)=10\\
\\
\Rightarrow \frac{2h}{3}=10\\
\\
\text{now to solve it, first we multiply both sides by 3. so we get}\\
\\
2h=30\\
\\
\text{now divide both sides by 2 to get}\\
\\
h=15

Hence the height of the living room ceiling is: 15 feet

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the legth of a rectangle is three times its width. if the width is diminished by 1 m and the legth increased by 3 m, the area wi
Svetllana [295]
Let width of rectangle be "x"
L= 3x W=x
if width is diminished by 1 that means new width = (x-1)
similarly the new length would be (3x+3)
hence (x-1)*(3x+3)=72
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reject -5 as you cant have negative length
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3 0
3 years ago
Can someone please help me?
Vladimir79 [104]

Answer:

<h3> ( - 1 , - 1 )</h3>

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

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

5x = - 5

Divide both sides of the equation by 5

\frac{5x}{5}  =  \frac{ - 5}{5}

Calculate

x =  - 1

Again, Putting the value of x in equation ( ii ) in order t get the value of y

y = 3x + 2

plug the value of x

= 3  \times ( - 1) + 2

Any expression multiplied by ( - 1 ) equals it's opposite

=  - 3 + 2

Calculate

=  - 1

Therefore, The possible solution of the system is the ordered pair ( x , y )

(x \:, y \: ) =  ( - 1 \:, - 1)

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

Check if the given ordered pair is the solution of the system of equation

- 1 =  - 2 \times ( - 1)  - 3

- 1 = 3 \times ( - 1) + 2

Simplify the equation

- 1 =  - 1

- 1 =  - 1

Since all the equalities are true, the ordered pair is the solution of the system.

<h3>( x , y ) = ( - 1 , - 1 )</h3>

Hope this helps..

Best regards!!

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