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Musya8 [376]
2 years ago
7

bsmiddle" class="latex-formula"> Solve for x.
Mathematics
1 answer:
umka2103 [35]2 years ago
4 0

Answer:

x= 99

Step-by-step explanation:

first we open brackets

6x+36=7x-63

transpose

6x-7x= -63-36

-x=-99

the signs cancel each other so

x= 99

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A rectangle is 5 cm wider than twice its length. If the perimeter of the rectangle is 70 cm, then what is the area?
kifflom [539]

Step-by-step explanation:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

we know the perimeter is 70

70 = 6* w + 10

subtract 10 from both sides

60 = 6* w

w = 10

Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.

l = 2* 10 + 5

l = 20 +5

l = 25

the dimentions of the rectangle are 25cm x 10 cm

6 0
3 years ago
Read 2 more answers
What is the solution to the equation P over 9= 72?
Fed [463]
P / 9 = 72

Multiply both sidess by 9

P / 9 (9) = 72 (9)

p = 648

4 0
3 years ago
29 less than -10 times a number is equal to -18 times a number +91
sergejj [24]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
One year, the population of a city was 352,000. Several years later it was 337,920.
kvasek [131]

hi

here is  the  method :

you take  Value 1  and Value 2

And you do :   ( Value 2 - Value 1)  / (Value 1 )    * 100

Here we have :    Value 1 = 352 000

                            Value 2 =  337 920

So now we apply :

( 337 920 - 352 000 )  /  ( 352 000)   * 100 =  -4  

Population decreased by by  4 %

You can also make :  

352 000 * X = 337 920

                 X =  337 920 / 352 000

                 X = 0.96

if  the multiplier is  0.96 ,  it's mean that we lost  1 -0.96 = 0.04  

which mean  - 4%

8 0
1 year ago
Change 2.36 to a mixed number and reduced to lowest terms
serg [7]
2.36=2\frac{36}{100}=2\frac{9}{25}
4 0
3 years ago
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