The width of a computer monitor is 30 cm. If the perimeter is 144 cm, what is the area of the computer monitor?

Answers

Answer 1

Answer: $perimeter= 144 \ cm\n width : \ w= 30 \ cm \n length: \ l= ?\n \nPerimeter = 2 w + 2l \n \n144=2 \cdot 30 +2l \n \n 144=60+2l$

$2l=144-60 \n \n2l=84 \ \ /:2 \n \n l=42 \ cm \n \nArea = l\cdot w \n \nA=42*30 =1 260 \ cm^2 \n \nAnswer : \ area \ of \ the \ computer \ monitor : 1260 \ cm^2$

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-x - 7y = 18
4x + 7y = -30
How can you order a ladder?

Answers

I can solve
add them equations

-x-7y=18
4x+7y=-30 +
3x+0y=-12

3x=-12
divide 3
x=-4
sub
-x-7y=18
-(-4)-7y=18
4-7y=18
minus 4
-7y=14
dividd e-7
y=-2

x=-4
y=-2
(-4,-2)

Find the new amount, Increase 2850 by 18%

Answers

18 % of 2850 = 513
increased amount = 2850 + 513 = 3363

2850*1.18
=3,363
20 charr

1. Rewrite 3 and 1/3 as an improper fraction. Explain your answer.2. Rewrite 6 and 8/9 as an improper fraction. Explain your answer.
3. Rewrite 5 and 1/4 as an improper fraction. Explain your answer .
4. Rewrite 7 and 2/3 as an improper fraction. Explain your answer .
5. Rewrite 9 and 3/5 as an improper fraction. Explain your answer.
Can anyone explain this to me? Will give brailiest.

Answers

1.

3 1/3 is the same as 3 + 1/3.

3 + 1/3 =

Write 3 as a fraction.

= 3/1 + 1/3

You need 3/1 to have a denominator of 3, so you get

= 9/3 + 1/3

= 10/3

10/3 is the same as 3 1/3.
10 divided by 3 = 3 reminder 1, so 10/3 = 3 1/3

2.

6 8/9 = 6 + 8/9 =

= 6/1 + 8/9

= 54/9 + 8/9 = 62/9

3.

5 1/4 = 5 + 1/4 =

= 5/1 + 1/4

= 20/4 + 1/4

= 21/4

4.

7 2/3 = 7 + 2/3 =

= 7/1 + 2/3

= 21/3 + 2/3

= 23/3

5.

9 3/5 = 9 + 3/5 =

= 9/1 + 3/5

= 45/5 + 3/5

= 48/5

Now that I showed you 5 times how to change a mixed numeral into an improper fraction by adding the whole number part and the fraction part, I will show you a shortcut.

Example 1.
Change 5 1/4 into a mixed numeral.

Multiply the whole number, 5, by the denominator and add the numerator.
5 * 4 + 1 = 20 + 1 = 21
Then set this number over the denomiator, 21/4

5 1/4 = 21/4

Example 2.
Change 7 2/3 into an improper fraction.

7 * 3 + 2 = 21 + 2 = 23
Write 23 over the denominator, 3.

7 2/3 = 23/3

okay well ill do the first on and explain it so hopefully you can do the rest

3 and 1/3 is equal to 10/3 because a whole number would be 3/3 and we have 3 whole numbers plus 1/3

3/3
3/3
3/3
1/3
add it up and you get 10/3

Students were surveyed about their favorite colors one fourth of the students preferred red 1/8 of the students preferred blue, and3/5 of the remaining students preferred green. If 15 students prefer green how many students were surveyed

Answers

Let us assume the total number of students surveyed = x
Then
Number of students preferring red = x/4
Number of students preferring blue = x/8
Then
Number of students remaining = x - [(x/4) + (x/8)]
   =x - [(2x + x)/8)
   = x - (3x/8)
   = (8x - 3x)/8
   = 5x/8
Number of students preferring the color green = (3/5) * (5x/8)
   = 3x/8
We also know that the total number of students preferring the color green is 15
So
3x/8 = 15
3x = 15 * 8
x = (15 * 8)/3
   = 5 * 8
   = 40
So in total 40 students were surveyed. I hope the procedure is clear to you.

Find the width of a rectangle with a perimeter of 90 and a length of 15.

Answers

Answer:

The width is 75.

Step-by-step explanation:

Since we already know that perimeter = width + length, then all we needed to do was subtract the length (15) from the perimeter (90) to get the width (75)!

Hope this helped!

Answer: w=30

Hope I helped

Solve each system of linear equations by substitution you will get an x, y point for solutionshow steps
y = x - 4 2x + y = 5

next set is
x + 4y = 6 y = -x + 3

next set is
x + 2y = 6 x - y = 3

next set is
3x - 2y = 9 y = 2x - 7

Answers

{y = x - 4

=> 2x+x-4=5 => 3x=9......x=3

{2x + y = 5 y=3-4=-1

________________________________________________

{x+4y=6

{y=-x+3

=> x+4(-x+3)=6

x-4x+12=6

-3x=-6

x=2

y=-2+3=1

y=1

___________________________________________________-

{x+2y=9

{x-y=3 .......x=3+y

3+y+2y=9

3y=6

y=2

x=3+2=5

x=5

_________________________________

{3x-2y=9

{y=2x-7

3x-2(2x-7)=9

3x-4x+14=9

-x=-5

x=5

y=2*5-7=10-7=3

y=3

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