MATHEMATICS MIDDLE SCHOOL

Solve the system of equations using substitution.
y= 3/4x-7
4x- 6y=50

Answers

Answer 1
Answer: \begin{cases} y= (3 )/(4)x-7 \n 4x- 6y=50 \end{cases}\n \n\begin{cases} y= (3 )/(4)x-7 \n 4x- 6((3 )/(4)x-7)=50 \end{cases}\n \n\begin{cases} y= (3 )/(4)x-7 \n 4x- (9 )/(2)x+42=50 \end{cases}\n \n \begin{cases} y= (3 )/(4)x-7 \n 4x- 4(1 )/(2)x =50 -42\end{cases}

\begin{cases} y= (3 )/(4)x-7 \n - (1 )/(2)x =8 \ \ /*(-2)\end{cases}\n \n \begin{cases} y= (3 )/(4)*(-16)-7 \n x =-16\end{cases}\n \n \begin{cases} y= -12-7 \n x =-16\end{cases} \n \n\begin{cases} y= -19 \n x =-16\end{cases}
Answer 2
Answer: Y=3/4x-7
4x-6y=50

4x-6y=50
4x-6(3/4x-7)=50
4x-18/4x+42=50
-1/2x=8
x=-16

y=3/4(-16)-7
y=-12-7
y=-19

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James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection? A. 1 : 2 B. 2 : 1 C. 3 : 2 D. 2 : 3

Answers

Answer:

D

Step-by-step explanation:

Using process of elimination we know that it cannot be a,b or c because after you add the 2 new stamps james collected the ratio is 8:12 which cannot be 1:2 because 8 is not half, can't be B because 8 is less than 12, Also cannot be C because 8 is less than 12

A drum set originally costs $500, but it is on sale for 20% off. If a customer buying the drum set has a $70 gift card, what will her final price be on the drum set?

Answers

20% of $500 is $100, so you take away $100 from $500.
  =   500 - 100 

This leaves you $400. When the customer buys the drum set, you take $70 off of $400;

400 - 70 
which leaves you with $330 as the final price. 
20% of 500 is 100 so 500-100=400 and then with the 70 dollar gift card you have to do 400-70 which is 330. The final price is $330

Which graph shows the solution to the following inequality?

Answers

Answer:

We are given a inequality with the equality sign in terms of variable 'r' as:

-2r+3\geq 19

Now we find the solution of the following inequality by solving for 'r'.

We subtract 3 from both side of the inequality to obtain:

-2r+3-3\geq 19-3\n\n-2r\geq 16

Now we multiply both side by "-1" to obtain:

2r\leq -16

Now on dividing both side of the inequality by 2 we obtain:

r\leq -8

Hence, the solution of the inequality are the set of all the points on the number line which are less than equal to -8.

i.e. the shaded region is to the left of -8 and closed circle at -8.

i.e. the solution is: (-∞,-8].

Number 2 graph is the correct graph of the solution.

Answer to the question

Answers

Answer:

What is the question you can't see

The store paid $4.50 for a book and sold it for $7.65. What is the profit as a percent of the cost to the store?

Answers

Answer:

3.00 i think

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

Mr. Carter is planning a special event for 98 guests. A catering company tells him that the cost of food for each guest will be $16. The cost for drinks for each guest will be another $5. Based on that, Mr. Carter works out that the total catering bill will be $20,580. Does that sound about right?

Answers

Answer: No, the correct answer is $2058.

Step-by-step explanation:

First, you should multiply 16 by 98. This will get you 1568. Then, you multiply 5 by 98, which will get you 490. Once you have these two numbers, you add them together, which gets you the total cost of $2058.

Hope this helped!
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