MATHEMATICS MIDDLE SCHOOL

Graph the equation on the coordinate plane.

y = 4x+4

Answers

Answer 1

Answer:

To graph the equation of the line, find the x-intercept and the y-intercept of the function

we have

$y=4x+4$

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

Step 1

Find the x-intercept

For $y=0$

$0=4x+4$

$4x=-4$

$x=-1$

the x-intercept is the point $(-1,0)$

Step 2

Find the y-intercept

For $x=0$

$y=4*0+4$

$y=4$

the y-intercept is the point $(0,4)$

Step 3

Graph the points and draw the line

see the attached figure

therefore

the answer in the attached figure

Answer 2

Answer:

Final answer:

To graph the equation y = 4x + 4, create a table of values by plugging in different x values and calculating the corresponding y values. Then plot the points on a coordinate plane and connect them with a straight line.

Explanation:

To graph the equation y = 4x + 4, we can start by creating a table of values. Choose different values for x and plug them into the equation to find the corresponding y values. For example, when x = 0, y = 4(0) + 4 = 4. When x = 1, y = 4(1) + 4 = 8. Plot these points on the coordinate plane and connect them with a straight line. The resulting graph will be a straight line with a slope of 4 and a y-intercept of 4.

Learn more about Graphing linear equations here:

brainly.com/question/14240165

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Solve the equation.
8nminus(3nplus4)equals11

Answers

Answer:

n = 3

Step-by-step explanation:

8n - (3n + 4) = 11

8n - 3n - 4 = 11

5n = 11 + 4

5n = 15

n = 3

Write 7/10 as a sum of fractions two different ways.

Answers

$(1)/(10) + (6)/(10) = (7)/(10) \n \n (2)/(10) + (5)/(10) = (7)/(10) \n \n (3)/(10) + (4)/(10) = (7)/(10)$

some fun

$(7)/(10) = (14)/(20) \n \n (9)/(20) + (5)/(20)$ $(14)/(20) = (7)/(10)$

$(7)/(10) = (21)/(30) \n \n (8)/(30) + (13)/(30) = (21)/(30) = (7)/(30)$

7/10 is equal to 3/10 plus 4/10

And

7/10 is equal to 5/10 plus 2/10,

in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?

Answers

The best thing to do here is to find out what one part is equal too, add these up and then subtract it from the original number.
As 1/6 of the students are wearing blue shirts, you need to find out what 1/6 is.
As there are 36 students, you need to divide this by 6 to get one part.
36/6=6
Therefore, there are six students wearing blue shirts.
As there are 2/3 students wearing white shirts, you need to find out what 2/3 of 36 is.
The best thing to do is to find 1/3 then double it.
To do this, divide 36 by 3.
36/3= 12
12*2= 24
Therefore, there are 24 students wearing white shirts.
As you're looking for the students that aren't wearing blue and white, you need to add the total together, and then subtract this from 36.
6+24=30
36-30= 6
Therefore, there are 6 students that are wearing shirts that aren't blue or white.
Hope this helps :)

Number of students that are wearing a shirt other than blue or white is 6 students

Further explanation

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Number of Students = 36 students

¹/₆ of the students are wearing blue shirts.

$\texttt{Blue Shirt Students} = (1)/(6) * \texttt{Total Number of Students}$

$\texttt{Blue Shirt Students} = (1)/(6) * 36$

$\texttt{Blue Shirt Students} = \boxed{6}$

²/₃ of the students are wearing white shirts.

$\texttt{White Shirt Students} = (2)/(3) * \texttt{Total Number of Students}$

$\texttt{White Shirt Students} = (2)/(3) * 36$

$\texttt{White Shirt Students} = \boxed{24}$

Finally, the number of students wearing other clothes can be found in the following way:

$\texttt{Other Shirt Students} = \texttt{Total Number of Students} - \texttt{Blue Shirt Students} -\texttt{White Shirt Students}$

$\texttt{Other Shirt Students} = 36 - 6 - 24$

$\texttt{Other Shirt Students} = 36 - 30$

$\texttt{Other Shirt Students} = \boxed{6}$

Learn more

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

How to find n for F=n/4+37

Answers

Answer: F=40 or other words n=40

Step-by-step explanation:

F= n/4 + 37

F= 12/4 + 37

F= 3 +37

F =40

Hope this helped! ;)

Twice the difference of a number and 5 is equal to three times the sum of the number and 5. Find the number

Answers

I believe the expression would look like this:

(x-5)2 = (x+5)3

x would be -25

(-25-5)2 = (-25+5)3

-60 = -60

Bob had 18 crackers Sam eat 1/6 of the crackers and sue ate 1/3 of the crackers. how many crackers did Bob have left

Answers

We can add 1/6 & 1/3 together to find out the total amount of crackers that were eaten:

1/6 + 1/3 (Find the Common Denominator. In this case it is 6.)
= 1/6 + 2/6
= 3/6 (Now find the Lowest Terms. Both 6 & 3 divide into 3)
= 1/2 (In Lowest Terms)

This means that 1/2 of the Crackers have been eaten.

1/2 of 18 = 9

Therefore, Bob has 9 Crackers left.

The first thing to do is make both fractions over 6:
1/3 = 2/6
Sue at 2/6 of the crackers.

Now we can add the fractions:
2/6 + 1/6 = 3/6

The next thing to do is cancel down the fraction.
3/3 = 1
6/3 = 2
3/6 = 1/2

Now that we know that half of the crackers have been eaten, we halve the total amount:
18 X 1/2 = 18 / 2 = 9

Bob had 9 crackers left.

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