A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of length of membership (in months). Find the total cost of membership after 10 months.

Answers

Answer 1

Answer:

The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Total charges of gym = Initial service fee + $ 35 per month

Thus, the total charges for 6 months = Initial service fee + 35 × 6 = Initial service fee + 210

According to the question,

Initial service fee + 210 = 250

⇒ Initial service fee = 250 - 210 = $ 40

Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,

⇒ y = 40 + 35 x

The total cost of the membership after 10 months will be calculated as:-

y = 40 + 35 x

y = 40 + 35 x 10

y = 390

Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

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Which of the following values are solutions to the inequality -5 ≤ x + 5? A) -7 B) -10 C) -3

A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?
A) $4.25x + $3.50 ≤ $20
B) $4.25x - $3.50 ≤ $20
C) $4.25x + $3.50 ≥ $20
Eliminate
D) $3.50x + $4.25 ≤ $20;

Answers

A is the answer.
4.25 multiply 3= 12.75
12.75 + 3.50= 16.50
16.50 ≤ $20

Answer:

Step-by-step explanation:

The ratio of the muffins Baker A baked to the number of muffins Baker B baked was 8 : 5. The ratio of the number of muffins Baker B baked to the number of muffins BAker C baked was 4 : 3. If Baker C baked 150 muffins, how many more muffins did Baker A bake than Baker C?

Answers

Answer:

170 muffins

Step-by-step explanation:

We start from the ratio between baker B and C

The ratio of cakes baked by both is 4:3.

We know baker C baker 150 muffins:

This mathematically means:

B:C = 4:3 = B:150

This means 4/3 = B/150

B = (4 * 150)/3 = 200

Baker B baked 200 cakes

We now move back to the first statement

The ratio between baker A and B is 8:5

Mathematically, this means:

A:B = 8:5 = A:200

8/5 = A/200

A = (8 * 200)/5 = 320

The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins

Final answer:

To solve the problem, use the given ratios to calculate the quantity of muffins each baker baked. Then compare the quantities to find the difference. The result is that Baker A baked 170 more muffins than Baker C.

Explanation:

In this question, you're given two ratios involving three bakers: A, B, and C. First, let's figure out how many muffins Baker B baked. We know that for every 4 muffins Baker B baked, Baker C baked 3 muffins. This gives us the ratio 4 : 3 for Baker B to Baker C. Since we know that Baker C baked 150 muffins, we can set up a simple proportion: 4/3 = B/150. Solving this proportion, we find that Baker B baked 200 muffins.

Now let's tackle the ratio of muffins baked by Baker A to Baker B, which is given as 8 : 5. Again, we can set up a proportion: 8/5 = A/200. Solving this, we find that Baker A baked 320 muffins.

The question asks how many more muffins Baker A baked than Baker C. Given that Baker A baked 320 muffins and Baker C baked 150 muffins, the difference is 320 - 150, which gives us 170. So, Baker A baked 170 more muffins than Baker C.

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7x^2-31x+20 I Know The Answer, I Just Don't Know The Steps To Solving This Equation.

Answers

$7x^2-31x+20=0$
First, remove the coefficient by division
So
$(7x^2)/(7)-(31x)/(7)+(20)/(7)=0$
Then, cancel out $(20)/(7)$
So,
$x^2-(31x)/(7)+(20)/(7)-(20)/(7)=-(20)/(7)$
Then take half of the coefficient, then square it.
$(-(31)/(7))/(2)=(37)/(14)$
$(-(37)/(14))^2=(961)/(196)$
So, The equation already looks like this:
$x^2-(31)/(7)+(961)/(196)=-(20)/(7)+(961)/(196)$
So,
$x^2-(31)/(7)+(961)/(196)=(401)/(196)$
Then factor the left side of the equation:
$(x-(31)/(14))^2=(401)/(196)$
Then square both sides:
$x-(31)/(14)=\sqrt{(401)/(196)}$

$7x^2-31x+20=0\n \n \Delta=(-31)^2-4.7.20=961-560=401\n \n x=\frac{31 \pmsqrt{401}}{2*7}=(31 \pm√(401))/(14)$

In a right triangle, find the length of the side not given, if a=8 and b=15

Answers

to find the length of a missing side of a right triangle you have to use the Pythagorean theorem. so 8*8=64 15*15=225 so to find side c you add the two answers 225+64 and the answer is and find the square root which is 17. Hope this helps

   a² + b² = c²
(8)² + (15)² = c²
   64 + 225 = c²
   289 = c²
       17 = c

Show that the point (3, 7) lies on the line y = 2x + 1

Answers

Just plug in the point
x = 3 and y = 7
Y = 2(3) + 1
Y = 6 + 1
Y = 7
That’s how to prove it

Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop for clothes that day, the number of people who shopped for clothes that day was ______. (only put numeric values, no other symbols)

Answers

The 2500 people that did not shop for clothes that day accounts for 40% of the total people present in the mall. The total number of people present at the mall that day is the quotient obtained when 2500 is divided by 40% which is 6250. Since the number of people who shopped for clothes that day is 60% of the total number of people, multiply 6250 by 60%. This gives an answer of 3750.

Therefore, there are 3750 people who shopped for clothes that day.

Answer:

3750

Step-by-step explanation:

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