A full-year membership to a gym costs $325 upfront with no monthly charge. A monthly membership costs $100 upfront and $30 per month. For what numbers of months is it less expensive to have a monthly membership?

Answers

Answer 1

Answer:

For seven months it is less expensive to have a monthly membership.

What is the arithmetic expression?

When evaluating arithmetic expressions, the stack organization is extremely efficient. We employ a number of techniques, including PEMDAS, to simplify the issue. In addition to the value, the variables also need to be made easier.

Given, A full-year membership to a gym costs $325 upfront with no monthly charge. A monthly membership costs $100 upfront and $30 per month. For calculating the number of months is it less expensive to have a monthly membership we need to create an expression where the number of months will be variable. Hence,

100 + 30x < 325

subtract 100 on both sides

30x < 225

divide 30 into both sides

x < 225/30

x < 7.21

Therefore, it is less expensive to have a monthly membership if we take it for seven months.

Learn more about arithmetic expressions here:

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Answer 2

Answer: Full year membership=$325Monthly membership= (30)(12)=360+ 100 upfront fee.Full year membership =$325Mounted membership =$460Full year membership is $100 cheaper.

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Keiko paid $21 for a jacket.The jacket is on sale for 30% of the original price.What wa the original price of the jacket?

Answers

30/100=3/10
3 divided by 21 = 7
7*10 = 70!

The anwser is $70 I hoped that helped :3

If you assume that the original price of the jacket equals X, that means that when it was on sale, the equation to finding the price after the 30% sale would be (1-0.3)X=21 (since 30% of X would mean that Keiko should've paid 70%). That would simplify to 0.7X=21. Therefore, the original price (X) will be $30.

1. Determine which ordered pair is a solution of y = –5x + 10. (1 point)(–15, 5)
(2, 0)
(–1, –5)
(3, 25)

2.on which of the following lines does the point (7, 1) lie
A. y - 5x = 4
B.y = x - 10
C. y=-4x + 3
D. y= -x + 8

3.Find the slope of the line through (-9, -10) & (-2, -5)
A -5/7
B 7/5
C 5/7
D -7/5

Answers

Answer to part 1 is C;
(2, 0)

Answer to part 2 is:
D. y= -x + 8

Answer to part 3:
C; 5/7

Th vertices of a sandbox are p(12, 14), Q(12, 17), R (16, 17) and S (16, 14).the coordinates are measured in feet . What is the perimeter of the sandbox ?

Answers

Answer:

The perimeter of the sandbox is 14 feet

Step-by-step explanation:

To find the perimeter of the sandbox, we will find the distance between the points using the distance formula and then add them together

p(12, 14), Q(12, 17), R (16, 17) and S (16, 14)

Distance formula;

D = √ ( $x_(2)$ - $x_(1)$ )² + ( $y_(2)$ - $y_(1)$ )²

p(12, 14) Q(12, 17)

|PQ| = √ ( $x_(2)$ - $x_(1)$ )² + ( $y_(2)$ - $y_(1)$ )²

= √(12-12)² + (17-14)²

= √0² + (-3)²

=√9

|PQ| = 3

Q(12, 17) R (16, 17)

|QR| = √ ( $x_(2)$ - $x_(1)$ )² + ( $y_(2)$ - $y_(1)$ )²

=√( 17 - 17)² + (16 - 12)²

=√0² + 4²

=√16

= 4

|QR| = 4

R (16, 17) S (16, 14)

|RS| = √ ( $x_(2)$ - $x_(1)$ )² + ( $y_(2)$ - $y_(1)$ )²

=√(16-16)² + (14 -17)²

=√0² + (-3)²

=√9

|RS| = 3

S (16, 14) p(12, 14)

|SP| = √ ( $x_(2)$ - $x_(1)$ )² + ( $y_(2)$ - $y_(1)$ )²

=√ (14 - 14)² + (12 - 16)²

=√0² + (-4)²

=√16

|SP| = 4

Perimeter = |PQ| + |QR| + |RS| + |SP|

= 3 + 4 + 3 + 4

=14

Since the coordinates are measured in feet, perimeter= 14 feet

Therefore the perimeter of the sandbox is 14 feet.

12,14 to 12,17 is a rise of 3 (14 to 17).
12,14 to 16,14 is a move to the right of 4 (12 to 16)

That means the dimensions of the sandbox are 3ft by 4ft and the perimeter is 2(l+w) or in this case 2 (3+4) or 14 ft

A figure that has no end points is called a

Answers

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like this ------------ it does not stop

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RATIO HELP PLEASE1. mrs perry shares out 20 biscuits between gemma and zak in the ratio 1:4. how many biscuits do they both get?

2. mr castle shares out 80 marbles beween emily and asif in the ratio 7:1. how many marbles do they each get?

3. ms adams shares out 10 pencils between niamh and jack in the ratio 2:3. how many do they each get?

Answers

$1.\nx-how\ many\ biscuits\ has\ Gemma\n \nx+4x=20\ \ \ \Leftrightarrow\ \ \ 5x=20\ \ \ \Leftrightarrow\ \ \ x=4\ \ \ \Rightarrow\ \ \ 4x=16\n \nAns.\ Gemma\ has\ 4\ biscuits\ and\ Zak\ has\ 16\ biscuits.$

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$3.\n2x-how\ many\ pencils\ has\ Niamh\n \n2x+3x=10\ \ \ \Leftrightarrow\ \ \ 5x=10\ \ \ \Leftrightarrow\ \ \ x=2\ \ \ \Rightarrow\ \ \ 2x=4\ \ and\ \ 3x=6\n \nAns.\ Niamh\ has\ 4\ pencils\ and\ Jack\ has\ 6\ pencils.$

Factor out the coefficient of the variable
The expression is
1/4y+3/8

Answers

y=0.09375 you just divide 3/8 by 1/4 to get the y.

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