Mathematics Middle School

y= 4x-9
and y=x-3


Also using transitive property

Answers

Answer 1
y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal

4x-9 = x-3

Let's solve for x

4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2

If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by 
y = x-3 = 2-3 = -1

So overall x = 2 and y = -1

We have the ordered pair (x,y) = (2,-1)

Related Questions

What is 40/3 simplified

Answers

Thanks for the question!

40/3 can't be necessarily simplified, but it can be converted to a mixed number.

It would be 13 1/3

Hope this helps!

Study the number 31,342. How many times less is the three in the hundreds place as compared to the three in the 10,000 place?

Answers

It is 100 times smaller

Change the order and the grouping of the addends so that you can use mental math to find the sum. Then find the sum. 43+39+43+11=

Answers

Final answer:

By applying the commutative property of addition and rearranging the numbers for easier mental calculation, the sum of 43 + 39 + 43 + 11 can be found to be 136.

Explanation:

The question asks to change the order and the grouping of the addends for easier mental calculation, and then to find the sum of 43 + 39 + 43 + 11. By understanding the commutative property of addition, which states that numbers can be added in any order without changing the sum, we can rearrange these numbers for easier addition.

To use mental math effectively, grouping numbers that make round numbers or those that are easier to add can simplify the process. Here, we can group 43 and 43, which are identical, and 39 and 11, which sum up to a round number.

Therefore, by rearranging:

43 + 43 = 86

39 + 11 = 50

Adding these sums together:

86 + 50 = 136

By changing the order and grouping of the addends, we find that the sum is 136.

How many shapes are in the world

Answers

There are an infinite number of shapes, because a shape can have any number of sides. This is where we get into our laws of fractals. A fractal is a shape with an infinite perimeter and area, meaning that every level of infinity is another shape, but can be beat by another shape. However, this is all philosophical math and goes way beyond the context of your question.

To keep it short and simple, there are an infinite number of shapes in the world.
There are more than you think ;) There is no limit to shapes, everything comes in shapes and sizes. For example,  A computer has soft edges and it is rectangular. Peole can make up shapes if they want to, But more the merrier!

(3 – 6y2)(y2 + 2) what is this

Answers

(3 - 6y^2)(y^2 + 2)

3(y^2 + 2) - 6y^2(y^2 + 2) =
3y^2 + 6 - 6y^4 - 12y^2 =
-6y^4 - 9y^2 + 6 <===

4,444,444 the digit in the hundreds thousands place is 10 times the value of the digit in the ten thousands place?

Answers

If this question is:
"true or false:
the digit in the hundreds thousands place is 10times the value of the digit in the ten thousands place"
then that would be true.
I'm not really sure what you're asking... sorry :|

A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes. Numerical Answers Expected!

Answers

12 holes in 6 minutes.....12/6 = 2 holes per minute

in 25 minutes...
25 * 2 = 50 holes in 25 minutes <==
So it drills 2 holes per minute. 6x4=24. 12x4=48+2=50 

50 holes is your answer.

What's 7712 divided by 32

Answers

7712 divided by 32 
= 7712/32= 241
First divide by 2 to give
3856/16
Divide again by 2 =
1928/8 and again by 2
964/4 and again by 2 to give 
482/2 and divide by 2 again to give 241

Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.

a) 6
b) 4
c) 24
d) 8

Answers

AB + BC = AC
2y + 6y = 48
8y = 48
  y = 6

answer
a) 6

The value of y is 6 and this can be determined by using the arithmetic operations and the given data.

Given :

B is between A and CAB is 2y, BC is 6yAC is 48

The following steps can be used in order to determine the value of y:

Step 1 - The arithmetic operations can be used in order to determine the value of y.

Step 2 - According to the given data, B is between A and C.

Step 3 - The mathematical expression of the above expression is:

AC = BC + AB

Step 4 - Now, substitute the value of the known terms in the above expression.

48 = 6y + 2y

Step 5 - Simplify the above expression.

48 = 8y

y = 6

Therefore, the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/25277954

14+3n=8n-3(n-4) foes this have an answer, no, or infinite solution

Answers

One solution. One. Ask me if you have any questions
14 + 3n = 8n - 3(n - 4)

I feel like the easiest way to find out how many solutions it has is to simply solve the equation.

So, simplify the equation.

14 + 3n = 8n - 3n + 12

Combine like terms.

14 + 3n = 5n + 12

Subtract 14 from both sides.

3n = 5n + 12 - 14

Subtract 5n from both sides.

3n - 5n = 12 - 14

Simplify.

-2n = -2

Divide both sides by -2.

n = 1

Therefore there is only one solution to this problem.

~Hope I helped!~

of the 150 people surveyed seven out of 10 said they owned at least one pet how many of the people surveyed owned pets

Answers

15 times 7, which is 105.
15 times seven which is 105

rule and missing number what would it be

Answers

the rule is 72 and the missing number is 280
The rule is: MULTIPLY BY 8 because it is true for every term 

13 × 8 =104
22 × 8 = 176
44 × 8 = 352

So, 36 × 8 = 288

ricardo lost 6 balls while playing golf.he bought 12 golf balls,then he lost 4 on the course to day.now he has 18 balls.how many golf balls did he have to the begingin

Answers

16 golf balls. Hope this helps
16 balls in the beginning

James thinks they could have paddled down the river in 5 days. If they had pushed their limits. How many miles per day would they have had to paddle to finish the trip in 5 days.

Answers

If x=the length of the river in miles and y is how many miles they have already traveled
then they would need to paddle  (x-y)/5

How can I graph and make a table with Y=3 ?

Answers

Use the slope-intercept form to find the slope and y-intercept.

Slope:0
Y-intercept:3

What is the answer to -1 = 5+x divided by 6

Answers

first, we get the solution on the equation:
-1=5+x
-1-5=5-5+x
x = -6
then, we will divide this answer by 6 as mentioned in the problem as follows:
-6/6 = -1
Hey! Hope that I can help.

To do this, first we can solve the equation.
-1 = 5 + x
-5  -5
-6 = x, then divide -6 by 6 to get your answer.

Answer: x = -1

If 15.9 out of every 100 pregnant women in Georgia deliver their babies by C-section, how many pregnant women out of 25,250 would be expected to deliver by C-section?

Answers

15.9/100 pregnant women = x/25,250 pregnant women. 
15.9 times 25,250 = 401475 divided by 100 = 4014.75 
Answer = 4015 would be expected to deliver by C-section.
P(C-section) = 15.9% or 0.159

Expected number of C-Section out of 25,250:

0.159 x 25,250 = 4,015 Women

Order the following numbers from least to greatest: 10 to the 5 power, 10 to the -9 power, 10 to the -17 power, 10 to the 14 power, 10 to the -5 power and 10 to the 30 power

Answers

10 to the -9 power = 0.000000001
10 to the -17 power = 0.0000000000000001
10 to the 5th power =1000000
10 to the -14 power = 100000000000000
10 to the 30 power= 1000000000000000000000000000000
Final answer:

To order the numbers, compare the exponents of 10. The higher the exponent, the greater the number.

Explanation:

To order the numbers from least to greatest, we need to understand the concept of integer powers. In this case, the numbers are in the form of 10 raised to a certain power. We can compare the numbers by looking at the exponent of 10. The higher the exponent, the greater the number.

Here is the ordering from least to greatest:

10 to the -17 power10 to the -9 power10 to the -5 power10 to the 5 power10 to the 14 power10 to the 30 power

Learn more about Ordering numbers here:

https://brainly.com/question/3729546

#SPJ12

how is 2.25 written as a fraction

Answers

2.25 as a fraction is 2 1/4
'There is not much that can be done to figure out how to write 2.25 as a fraction, except to literally use what the decimal portion of your number, the .25, means. Since there are 2 digits in 25, the very last digit is the "100th" decimal place. So we can just say that .25 is the same as 25/100.' -Google

So 25/100 is your answer.

Please help me D: I just took 20 points away from me

Answers

For number one please do the following....
you will cut the figure into six shapes. You will have two (4 by 3) squares and four (4 by 1 divided by 2) triangles.
Next, you multiply 4 by 3 and get 12 then multiply again and add both of the area of the two squares. the area for the squares is 24 in total.
finally, you will see that the four half figures left make two full figures. then you can multiply 4 times 1 and get 4 . add 4 plus 4 and get 8. 
the area of the figure as a whole is 24 plus 8 which is 36.

For number two please do the following...
you will multiply the length times the width which in this case is 14 times 32
the area for the parallelogram is 448.

For number three please do the following...
you will do something similar to number one
you can try this by yourself. :)

For number four please do the following....
you will multiply 11 times 20
the area of the big triangle is 220
then all you need to do is find the area of the smaller triangle and add both triangles together. 

I really don't understand this absolute value. please help

Answers

Dang what kinda math they teaching you! that makes no sense! ill try and help though
Let the number = x
then (10-x) = 2(x-1)
10-x=2x-2
3x=12
x = 4

A water cooler fills 150 glasses in 30 minutes. How many glasses of water can the cooler fill per minute?

Answers

5 per minute
5x30=150

1.3 puzzle time what happens when a frog double- parks on a lily pad

Answers

The answer is it‘s toad away.

The following are the values of each number:

5 – Infinitely many solutions


7 – 30


3 – 54


11 – 42


2 – no solution


10 – 35


4 - -0.64


8 - -18.4


9 – 3


1 – 12


7 – 72

see attached file for the chart of the values.

Please help with this question! xx

Answers

Step 1 is to find the cost function for any length of wire in inches. Refer to the table and you can see that...
110 inches cost $6.60 so the point (x,y) = (110, 6.60) is on the line
125 inches cost $7.50 so the point (x,y) = (125, 7.50) is on the line

We only need two points form this line. Let's find the slope
m = (y2-y1)/(x2-x1)
m = (7.50-6.60)/(125-110)
m = 0.90/15
m = 0.06

The slope is 0.06 meaning that each additional inch costs $0.06 (6 cents) extra. 
In other words, the cost is 6 cents per inch.

Plug (x,y) = (110, 6.60) and m = 0.06 into the equation below to solve for b. This will get us the fixed cost
y = mx+b
6.60 = 0.06*110+b
6.60 = 6.60+b
6.60-6.60 = 6.60+b-6.60
0 = b
b = 0

So the fixed cost is 0 which makes sense. If you buy 0 inches of wire (i.e. you don't buy anything) then you don't pay anything.

Therefore the cost function is f(x) = 0.06*x which can be written as y = 0.06*x

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

We're told that "Emily needs 23 feet of wire" so we need to convert that feet measurement into inches before we can use the function. The reason why is because x is length in inches (not feet).

23 feet = 23 feet * (12 inches/1 foot) = 23*12 = 276 inches
so in short, 23 feet is equivalent to 276 inches

This means x = 276 and y is...
y = 0.06*x
y = 0.06*276
y = 16.56

Emily will spend 16.56 dollars for her wire.

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

Andy needs 14 yards. We'll have to convert from yards to feet
14 yards = 14 yards * (3 feet/1 yard) = 14*3 = 42 feet
14 yards = 42 feet

Then convert that feet measurement to inches
42 feet = 42 feet * (12 inches/1 foot) = 42*12 = 504 inches

So overall,
14 yards = 504 inches

Now we can use the function
y = 0.06*x
y = 0.06*504
y = 30.24

Andy will spend 30.24 dollars for his wire.

Side Note: Andy will spend 13.68 dollars extra compared to Emily (since 30.24-16.56 = 13.68). So Andy spends more. Which makes sense given how Andy needs 504 inches of wire compared to Emily's needs of 276 iches of wire. 


The table shows the earnings and the number of hours worked if three employees . Complete the table by finding the missing values . Which employee earned the least per hour ? EXPLAIN.

Answers

1. 3.5 hours
2. $9.50/hr
3. 5.4 hours

Cole said that 555 rounded to the nearest ten is 600. What is Cole's error? explain.

Answers

He rounded it to the nearest hundred, not ten. Ten would be 560.

Hope this helps!

ax-x=c
solve the equation for x

Answers

Hi, again!

Like last problem, group the x out.

x(a-1) = c

Now divide.

x = c/a-1

Hope this helps!

if you forget to bring the book back to the library, you will pay a fine. is this a negation, conjunction, disjuntion, conditional or biconditional?

Answers

I believe it is a conjunction

The sentence is a conditional statement where the payment of a fine depends on forgetting to return the book. Hence the correct option is Option 4 , conditional

The sentence 'if you forget to bring the book back to the library, you will pay a fine' is a conditional statement. In logic and English grammar, a conditional statement is one where the outcome (the consequent) depends on a certain condition (the antecedent). Here, the antecedent is 'if you forget to bring the book back to the library', and the consequent is 'you will pay a fine'. The structure of this sentence follows the 'if (condition), then (result)' pattern typical of standard conditionals.

For example:

If it rains, the picnic will be canceled.If you study hard, you will pass the exam.

In both examples and the original sentence, the outcome is contingent on the condition being met, which is the hallmark of a conditional statement.

I need help with #12

Answers

The answer is:  " 1320 ft. " .
______________________________________________
Explanation:
______________________________________________
(1/4) mi =  _?_  ft.

Note:  1 mi. = 5280 ft.  (exact conversion).

(1/4) mi = (1/4)*(5280 ft) = (5280 ft.) ÷ 4 = 1320 ft.
___________________________________________
The answer is:  1320 ft.
___________________________________________
Let's get this straight. mi=Mile in math term

Formula of Mile to Foot: 1mi= 5280 ft

1/4 of a mile (1/4mi) is basically dividing 4 so that you get (1/4mi)=(5280/4ft)

Use a calculator or do it mentally but your end result will be...
1320ft

Please help me with my math homework! 20 points!

A culture of 1.08×10^15 bacteria is in petri dish A. A culture of 2.7×10^11 bacteria is in petri dish B.

How many times greater is the number of bacteria in petri dish A than petri dish B?

Enter your answer, in standard notation, in the box.

Answers

To find the number of times the bacteria in petri dish A than petri dish B, let us divide.

So, number of times = [tex]\frac{Number of times bacteria in petri dish A}{Number of times bacteria in petri dish B}[/tex]

[tex]= \frac{1.08(10^{15} )}{2.7(10^{11} )}[/tex]

= 0.4 × [tex]10^{4}[/tex]

= 4000

Hence, the number of bacteria in petri dish A is 4000 times the number of bacteria in petri dish B.

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