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oksano4ka [1.4K]
3 years ago
6

Community Gym charges a $40 membership fee and a $65 monthly fee. Workout Gym charges a $170 membership fee and a $55 monthly fe

e. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Mathematics
1 answer:
sergejj [24]3 years ago
7 0

Answer: 13 months

Step-by-step explanation:

I made these into equations first.

40 (initial fee) + 65x (x is the number of months) = total cost

170 (initial fee) + 55x (x is the number of months) = total cost

There are two ways to go about this.

1. Put it into a graphing calculator (or a site like desmos) and see where the lines intersect (the easiest way)

2. If you don't have access to either of those, do the old guess and check by plugging in numbers of months until you get your desired answer.

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Casey ran out of time while taking a multiple-choice test and plans to guess on the last 101010 questions. Each question has 555
Soloha48 [4]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So  

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is  

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

7 0
3 years ago
Read 2 more answers
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of pa
Kobotan [32]

Answer: I. only

--------------------------------------------------------------------------------------------------------------

Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

4 0
3 years ago
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus p
SashulF [63]

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w\times h\times l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

n=8160\times2.5\\n=20400\rm\; btus

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



Learn more about the volume of a rectangular prism here;

brainly.com/question/4016105

5 0
2 years ago
A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
alexdok [17]
The first graph is the correct answer.
4 0
3 years ago
What is the value of m in the equation 5m − 7 = 6m + 11?<br><br> A.18<br> B. 1<br> C. −18<br> D.−1
adoni [48]
Hello there ^ _ ^

5m - 7 = 6m + 11
Solve for M
5m - 6m = 11+ 7
-m = 18
Divide both sides by -1
-m/-1 = 18/-1
m = -18

Good luck!
6 0
3 years ago
Read 2 more answers
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