Mathematics Middle School

find the y-intercept of 2x - 7y =28

Answers

Answer 1
If you arrange this properly in the slope intercept form (y=mx+b) so just make it arranged in this format.
4x-7y=-28
Subtract 4x
-7y=-28-4x

Rearrange.
-7y=-4x-28
Divide by -7
y=4/7x+28
The number next to x is your slope and the other number is your y-intercept.
Answer 2
2x - 7y =28
-7y = -2x +28
-7y/-7 = -2x +28/-7
y = 2/7x -4

Related Questions

solve the equation for y

-4 ( y - 2 ) = -8

y = ??

Answers

Hello there!

-4(y - 2) = -8
Use the distributive property
(-4)(y) + (-4)(-2) = -8
-4y + 8 = -8
Then, subtract 8 from both sides
-4y + 8 - 8 = -8 - 8
-4y = -16
Divide both sides by -4
-4y/-4 = -16/-4
y  = 4

Best of luck!

44x10 to the power of 4

Answers

37,480,960,000 is the answer to 44×10 to the power of 4
44x10=440. 440^4= 37,480,960,000

mia's garden is in the shape of a rectangle that measures about 29 meters long and 25 meters wide. what is the distance around mia's garden?

Answers

29m x 25 m equals 725m. 
Calculating area, 29m x 25m would equal 725m. The distance around Mia's garden would be 725 m.

What is the answer to this equation 42 =7(z-3)

Answers

The answer is 42= 7(9-3), z would be 9
42= 7(z-3)
divide both sides by 7 to get rid of it: 
6=z-3
add 3 on both sides
6+3=z

z=9

Write 70 in prime factor form

Answers

The answer is:  " 7 * 5 * 2 " .
_________________________________
  70 =  7  * 10;

  7 * 10 = 7 * 5 * 2 .
_________________________________ 

The diameter of a circle is the same length as the side of a square . The perimeter of the square is 16 cm . Find the diameter of the circle . Then find the circumference of the circle in terms pie?

Answers

perimeter of a square = 4*side
by substituting
16=4*side
dividing by 4
side=4
since diameter=side
then the circumference =d*pi
therefore=4*pi is the circumference

1. Do you agree with Alex's choice of jobs? Why or why not? (1 point)

Answers

Im confused? Need more information to answer the question.

Estimating division 83 into 235

Answers

3                                                                                                                                                                                                                                                                                                                                                                                       83 is rounded to 80          235 is rounded to 240     so just divid 240 and 80 which is 3

Solve the system of equations by substitution.
x + y = 
x + 7y = 8

Answers

its (1,1) because I just took the test

A twelve inch candle and an eighteen inch candle are lit at six pm. The twelve inche candle burns . 5 inches every hour and the 18 inche candle burns 2 inches every hour at what time will the two candles be the same height?

Answers

At 10pm
18 - 2t = 12 - 0.5t 
6 = 1.5t 
t = 6/1.5 
t = 4 hours

I need help with these three questions (please help me turn them into algebraic form) Thanks!


1.the quotient of five and the difference of a number and three

2.the product of a number and twenty decreased by eleven

3.the difference of thirty and a number, multiplied by two

Answers

the quotient means divide.....the difference means subtract
the quotient of 5 and the difference of a number and 3..
5 / (x - 3) <== ur expression

the product means multiply....decreased means subtract
the product of a number and 20 decreased by 11..
20x - 11 <== ur expression

the difference means subtract 
the difference of 30 and a number, multiplied by 2
2(30 - x) <== ur expression
Haha to eat a little bit more of the time and time for the things you need

Mr. Jansen is building an ice rink in his backyard that will measure 8.4 meters by 22 meters. What is the area of the rink?

Answers

The area of Mr.Jansen ice rink in the backyard is 184.8

The area of the rink is 184.8 m²

Further Explanation

From the problem above we know the measurement of the ice rink is

22 x 8.4 m

to calculate the area = length x width

                                   = 22 x 8.4

Here is how to solve the decimal multiplication, we are going to multiply them as a whole number. The different is the placement of the decimal point in the answer. Using the standard algorithm method, the calculation would be:

 22             ⇒ whole number (no decimal place)

 8.4  x        ⇒ 1 decimal place

 88          

176  +

184.8           ⇒ 1 decimal place

The first factor 22 doesn't decimal place

The second factor 8.4 has one decimal place

The result will has one decimal place (0+1=1)

Learn more

Decimal multiplication https://brainly.com/question/2308946

Decimal multiplication https://brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, area, measurement

A tortoise is walking in the desert. It takes
4
minutes to walk
6.4
meters. What is its speed?

Answers

speed = distance / time

Here, speed = 6.4 meters  /  4 minutes  =1.6 meter / minute (answer)
The formula for speed is S = Distance/Time.
if you plug 6.4 in for distance and 4 in for time, s = 6.4/4. 6.4/4 = 1.6, so the speed of the tortoise is 1.6 meters per second, or 1.6 m/s

HELP YOU ONLY HAVE TO ANSWER 1 BUT YOU CAN DO ALL IF YOU WANT

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.


2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.

(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20


3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.

Answers

3. c x 3 = 4
c x 3/3 = 4/3 ( Use the inverse of operation and  divide both sides of the equation to isolate the variable)
c = 4/3
c = 1.333333333, 3/4 = 0.75
1)sister-x
kim will represent 2x
x+2x=36
3x=36
x=12
2x=24
Kim is 24 years old and her sister is 12 years old.

3).3x will represent tanya and 4y will represent tony.
3x=4(x-2.25)




7,231 divided by 24 is?

Answers

301.2916666667 is your answer.
I use a calculator and got this --> 301.291666667.

I hope this helps you! :)

round 241,63 to the nearest thousand

Answers

24 000      -to the nearest thousand                                                              .
242,000 is 241,630 rounded to the nearest thousand. :)

If 1/72x=1/9 then what does 96/x equal???

Answers

1/72 (8) =1/9
So x=8
Not sure if you want to multiply or divide 96 by x.
Multiply- 768
Divide- 12
96/x would equal 12. Hope this helps!

15 points!

What is the equation of this graphed line?



Enter your answer in slope-intercept form in the box.

Answers

y2 - y1              (-4,-6)    (2,6)
______              x1 y1    x2 y2

x2 - x1    



6,-(-6)
______

2, -(-4)

12/6 = 2
                                       
Finding the slope            
__________________________________

 mx + b

 2x + 2
would be the answer



Answer:

[tex]y=2x+2[/tex]

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(-4,-6)\ B(2,6)[/tex]

Substitute the values

[tex]m=\frac{6+6}{2+4}[/tex]

[tex]m=\frac{12}{6}=2[/tex]

step 2

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=2[/tex]

[tex]B(2,6)[/tex]

substitute and solve for b

[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]

[tex]6=4+b[/tex]

[tex]b=2[/tex]

The equation of the line is equal to

[tex]y=2x+2[/tex]


find the value of x. the diagram is not to scale.

Answers

opposite angles are equal so where the 110 is outside the triangle, it is also 110 inside the triangle.

 the 3 angles need to = 180

 so you have 110 + 57 = 167

x = 180-167 = 13

x = 13

The top angle is going to be 110 too so you add 110 and 57 which equals 167. Subtract that from 180 and the answer is x=13

Determine the time needed to deliver 72 papers at a rate of nine papers in 18 minutes

Answers

9:18 = 72:?
72/9 = 8
18 x 8 = 144
It'll take 144 minutes to deliver 72 papers, or 2 hours and 24 minutes.

A stack of 8 books weighs 9.6 pounds. If each book weighs the same amount, how much does each book weigh?

Answers

each books weighs 1.2lbs
Start with 9.6 divided by 8.

You would get 1.2.  Therefore, each book weighs exactly 1.2 pounds.


Hope this helps!

Item 9
Evaluate
(3−1)
3
+7(6)−
5
2
(3−1)3+7(6)−52
.

Answers

To evaluate the expression (3-1)³ + 7(6) - 5/2, simplify the components individually and then substitute the values back into the expression to find the final result of 47.5.

Evaluate the expression:

(3-1)³ + 7(6) - 5/2

First, we simplify the expression:
(3-1)³ = 2³ = 8
7(6) = 42
5/2 = 2.5

Substitute these values back into the expression: 8 + 42 - 2.5 = 47.5

to rent a bike for 3 hours it costs $12. for 5 hours it costs $20. a) write an equation that models the cost of a bike rental as a function of hours rented. b) how much will it cost to rent a bike for 1 hour?

Answers

To answer b - You need to find how much it costs to rent a bike per hour. To do this divide the over all cost ($12) by your amount of time (3 hrs) to get $4 per hour. Same with the $20 per 5 hours!

26,000 rounded to NEAREST ten thousand

Answers

30,000, because if you look in the 6 in the thousands place it is over 5 so you round up

The value after rounding 26,000 to its nearest ten thousands is 30,000.

Given,

26,000

We need to round to its nearest ten thousands.

What is the place value of a number?

Example:

235678

8 - ones

7 - tens

6 - hundreds

5 - thousands

3 - ten thousands

2 - hundred thousands

Round 26,000 to its nearest ten thousand.

26,000

2 is in ten thousands place value.

So we need to round either to 20,000 or 30,000.

Since 26000 > 2499 we will round to 30,000.

= 30,000

Thus 30,000 is our answer.

Learn. more about rounding numbers here:

https://brainly.com/question/26327108

$SPJ2

6 times the sum of a number t and 5 is s

Answers

Final answer:

The verbal statement '6 times the sum of a number t and 5 is s' is translated into the algebraic equation 6(t + 5) = s, which is a linear equation used to solve for either t or s.

Explanation:

The student's question involves creating an algebraic equation from a verbal statement. In this case, the expression '6 times the sum of a number t and 5 is s' can be translated into an algebraic equation. To do so, we first represent the sum of the number t and 5 as (t + 5). We then multiply this sum by 6 to represent '6 times the sum', which gives us the equation 6(t + 5) = s.

This equation allows us to solve for the number t when s is known, or vice versa. It is a basic linear equation that can be used in various mathematical problems to determine the value of s given a specific t, or to find t when s is known.

convert 86,000 cm to km. Show all of your work

Answers

86,000cm 
To convert cm to metres you will need to divide it by 100. 
So, 86,000/ 100 which is equal to 860m
Then, to convert it to km, you need to divide your answer by 1000
So, 860m / 1000 is equal to 0.86km
Thus the answer is 0.86km

Hope this helped

Why do plants produce bright, colorful flowers and structures designed to disperse their seeds?

Answers

To make sure they spawn more flowers, and because colorful flowers attract more pollinators.
Yes to attract more bugs to pollinate them

an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?

Answers

divide 1006 by 12

1006 / 12 = 83.833

so 83 full trucks

83 *12 = 996

1006-996 = 10 cars will be on the last truck

Final answer:

To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.

Explanation:

To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...

Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.

To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10

So, the last truck will have 10 cars.

Learn more about Auto Transport here:

https://brainly.com/question/37500485

#SPJ2

Find f(2) if f(x) = 2x + 1. Plz help

A)
3


B)
5


C)
7


D)
9

Answers

Its B pretty easy 2 x 2 + 1

Answer:

B) [tex]f(2)=5[/tex]

Step-by-step explanation:

1. Write the function given:

[tex]f(x)=2x+1[/tex]

2. Find f(2) means to evaluate the function when x=2, so you need to replace x with the number 2, that is:

Replacing x with the number 2:

[tex]f(2)=2*(2)+1[/tex]

Multypling numbers:

[tex]f(2)=4+1[/tex]

Adding the numbers:

[tex]f(2)=5[/tex]

Therefore the answer is B) 5

Do you agree or disagree with the statement: "A rise of -7°C" means "a fall of 7°C"? Explain.

Answers

Yes because either way you are saying that its -7°C for example rise -7°C (+(-7°) or a fall of 7° (-7°)
I agree that the rise of -7 c means to fall of 7c
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