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ella [17]
3 years ago
6

3. The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Since you're adding x feet to the length which is 12 feet:

New area: (12+x)10.5

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Wendy can wash a car twice as fast as Jason. When they work together, Wendy and Jason can wash a large van in 2 hours. How many
Ugo [173]
X= number of hours would it take Jason to wash the van by himself.
2x=number of hours would it take Wendy to wash the van by herserlf.

<span>we calcaulate the fraction of  work by Jason during one hour </span>

x hours-----------------------------1 work
1 hour----------------------   fraction of work during one hour.

fraction of work during one hour=(1 hour * 1work) / x hours=1/x


we calculate the fraction of work by Wendy during one hour.
2x hours-----------------------------1 work
1 hour----------------------   fraction of work during one hour.

fraction of work during one hour=(1 hour * 1work) / 2x hours=1/2x

We can suggest this equation:
2 hours(fraction of work by Jason during one hour + fraction of work by Wendy during one hour)=1 work

2(1/x + 1/2x)=1

least common multiple=2x
2(2+1)=2x
2(3)=2x
6=2x
x=6/2
x=3

answer: 3 hours would ti take Jason to wash the van by himself.


5 0
4 years ago
What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)
wel

Answer:

69.08

Step-by-step explanation:

π×d

3.14×22=69.08

4 0
3 years ago
A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

⠀

To Find :

  • The length and width of the rectangle.

⠀

Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

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8 0
2 years ago
What is the area of a circle with a radius of 13 millimeters? <br> (Use 3.14 for Pi.)
ludmilkaskok [199]
The area of a circle with radius of 13 millimeters is A≈530.93A=πr2=π·132≈530.92916
5 0
4 years ago
Chris and his friends are going to the ice cream shop
professor190 [17]

Answer:

2xm

Step-by-step explanation:

5 0
3 years ago
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