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Veseljchak [2.6K]
3 years ago
7

A square has sides with lengths of (x - 2) units. A rectangle has a length of x units and a width of

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

(A)The area of the square is greater than the area of the rectangle.

(C)The value of x must be greater than 4

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

Step-by-step explanation:

The Square has side lengths of (x - 2) units.

Area of the Square

(x-2)^2=(x-2)(x-2)=x^2-2x-2x+4\\=(x^2-4x+4) \:Square \:Units

The rectangle has a length of x units and a width of  (x - 4) units.

Area of the Rectangle =x(x-4)=(x^2-4x) \:Square \:Units

<u>The following statements are true:</u>

(A)The area of the square is greater than the area of the rectangle.

This is because the area of the square is an addition of 4 to the area of the rectangle.

(C)The value of x must be greater than 4

If x is less than or equal to 4, the area of the rectangle will be negative or zero.

(E)The area of the rectangle is (x^2-4x) \:Square \:Units

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hauler and gio went to the store. they each purchased pop and snacks. hailey purchased 1 pop and 4 snacks and spent $14. gio pur
Dafna1 [17]

Answer:

Cost of pop = $2

Cost of snacks = $3

Step-by-step explanation:

Let

Cost of pop = x

Cost of snacks = y

Hauler

x + 4y = 14

Good

2x + 2y = 10

x + 4y = 14 (1)

2x + 2y = 10 (2)

Using elimination method

Multiply (1) by (2)

2x + 8y = 28 (3)

2x + 2y = 10 (2)

Subtract (2) from (3) to eliminate x

8y - 2y = 28 - 10

6y = 18

y = 18/6

y = $3

Substitute y = 3 into (1)

x + 4y = 14 (1)

x + 4(3) = 14

x + 12 = 14

x = 14 - 12

x = $2

Cost of pop = $2

Cost of snacks = $3

7 0
3 years ago
What is the quotient of 3227/555? What is the repetend?
slega [8]

Answer:

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of

1

/

3

becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is

3227

/

555

, whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... At present, there is no single universally accepted notation or phrasing for repeating decimals.

The infinitely repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros.[1] Every terminating decimal representation can be written as a decimal fraction, a fraction whose divisor is a power of 10 (e.g. 1.585 =

1585

/

1000

); it may also be written as a ratio of the form

k

/

2n5m

(e.g. 1.585 =

317

/

2352

). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. 1.000... = 0.999... and 1.585000... = 1.584999... are two examples of this. (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.[2])

Step-by-step explanation:

4 0
3 years ago
Enzo and Beatriz are playing games at their local arcade. Incredibly, Enzo wins 55 tickets from every game, and Beatriz wins 111
madam [21]

Answer:

101

Step-by-step explanation:

Note that

  • 55=5\cdot 11;
  • 1111=11\cdot 101.

Here these two numbers have the common divisor 11. Find the least common multuply:

LCM(55,1111)=11\cdot 5\cdot 101=5555.

This means that  the minimum number of games that Enzo could have played will be

\dfrac{5555}{55}=101.

8 0
3 years ago
Is my answer correct if not can u pls help
IRISSAK [1]

Answer:

It's <u><em>B</em></u>

Step-by-step explanation:

3/45=0.06666667

3 0
3 years ago
Read 2 more answers
A doctor's office schedules 15-minute appointments and 45 minute appointments for weekdays. the doctor limits these appointments
djverab [1.8K]

Answer:

X - 45=30

Step-by-step explanation:


8 0
3 years ago
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