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ehidna [41]
3 years ago
7

A square has a perimeter of 48 inches. If a side length is 3x, write an equation to solve for x​

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

In a square, all sides are equal. This means that each side is 3x inches in length.

The sum of the sides is 48 inches

There are 4 sides in a square.

3x + 3x + 3x + 3x = 48

<em>12x = 48</em> ----> is the equation

This means that x = 4

Each side is 3x inches in length, hence each side is also 3(4) which is 12 inches or 1 feet.

Step-by-step explanation:

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P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
7 0
3 years ago
Prove that the gregorian calendar repeats itself every 400 years.
Setler79 [48]

The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...

(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0

Thus, there are also an integral number of weeks in 400 years.

The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.

3 0
3 years ago
A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?
Naddik [55]

Answer:

$33.27

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.
k0ka [10]

Answer:

J's would be (-5,-4) if J was reflected over the line x=3.

7 0
3 years ago
A student claims that the expression “9 times the sum of a number and 13" is translated to the algebraic expression 9n + 13. Is
FrozenT [24]

Answer:

No, the student is not correct. The correct expression is 9(n+13).

Step-by-step explanation:

"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

4 0
2 years ago
Read 2 more answers
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