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Sati [7]
1 year ago
9

Haley is considering two gym membership plans. The plans are detailed here. Plan one $50 for a monthly pass and a $3 fee for eac

h gym visit plan to $10 for each gym visit what is a system of equations that represents the cost of the plans?
Mathematics
2 answers:
Alona [7]1 year ago
8 0

Answer:

The system of equations would be

\left \{ {{50+3x=y} \atop {10x=y}} \right.

Step-by-step explanation:

Let x represent the number of gym visits and y represent the total cost.

For plan one, we know that each gym visit is $3.  This means the price for the gym visits can be represented as 3x.  Adding the monthly pass to that, we have

50+3x = y.

For plan two, each gym visit is $10.  This means the price of the gym visits can be represented as 10x.  There is no monthly pass, so we have the equation

10x = y.

vodomira [7]1 year ago
5 0
Well for the first one it'd be y=3x+50 and for the second one it'd be y=10x
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Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a
saw5 [17]

Answer:

first y then x because y represents 22 and x represents 4 a week.

8 0
1 year ago
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.

ax – c = bx + d

Step 1: subtract bx from both sides

ax – c = bx + d

ax-bx = d+c

Step 2: Factor out x in the left hand side of the resulting expression

x(a-b) = d+c

Step 3: Divide both sides by the coefficient of i.e (a-b)

\frac{x(a-b)}{a-b} = \frac{d+c}{a-b}

x = \frac{d+c}{a-b}

Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b

4 0
1 year ago
Read 2 more answers
What is the ninth term in the binomial expansion of (X-2y)^13?
vlada-n [284]

Answer:

329472\cdot x^5\cdot y^8  

Explanation:

Binomial expansion is:

(a+b)^n=a^n+n\cdot a^{n-1}{\cdot b}+\frac{n(n-1)}{2}\cdot a^{n-2}\cdot b^2+------+b^n

Here in given expression we have a=x , b=-2y and n = 13

general formula for binomial expansion is:

T_{r+1} =^nC_r\cdot a^{n-r}\cdot b^r

Since, T_{r+1}

r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8

substituting the values in the genral formula we will get

^13C_8\cdot x^{13-8}\cdot (-2y)^8

After substituting the values we will get

\frac{13!}{8!\cdot 5!}\cdot x^5\cdot (-2y)^8}

After simplification we will get

329472\cdot x^5\cdot y^8  which will be the 9th term of the expansion



5 0
1 year ago
Read 2 more answers
A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table
Viefleur [7K]

Answer 1 with Explanation

Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.

Answer 2 with Explanation

As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.

4 0
2 years ago
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