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4 years ago

What is the gradient of the line 3x+y=4

Mathematics

1 answer:

algol134 years ago

3 0

Answer:

<h2>The slope is - 3</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

The equation is 3x+y = 4

To find the slope of the line we must first write the equation in the general form above

Make y the subject

That's

y = - 3x + 4

Comparing with the general equation above

Slope of the line = - 3

Hope this helps you

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Jon and Anne had an equal amount of money. Jon spent $10. Anne spent $30. Now Jon has twice as much money as Anne. How much did

bulgar [2K]

They would have had $50 at the beginning

8 0

3 years ago

The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s

kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0

3 years ago

The diameter of a circle 8 inches whats is the area?

pshichka [43]

Answer:

25.12inch^2

Step-by-step explanation:

Area= pi r^2 = 3.14 x 8 =25.12inch^2

6 0

4 years ago

Read 2 more answers

What is the volume of a cube with a side length of 3t^5units?<br>Cube V = s^3

balandron [24]

Answer:

$V=27t^{15}\ units^3$

Step-by-step explanation:

we know that

The volume of a cube is equal to

$V=s^{3}$

where

s is the side length of the cube

we have

$s=3t^5\ units$

substitute in the formula

$V=(3t^5)^{3}$

$V=(3^3)(t^5)^{3}$

Remember the power rule

$(a^m)^n=a^{m*n}$ ----> multiply the exponents

$V=(3^3)(t^{5*3})=27t^{15}\ units^3$

6 0

3 years ago

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HELP NEEDED!<br><br> Evaluate: 8 + -12 - -12/2

svp [43]

Answer:

Step-by-step explanation:

because if 8+-12= about-4 so if you have a negative number plus a positive it equals a negative number then you have -4 minus -12 equals a positive is 8 because if its negative and negative it equals a positive number then you have 8/2 and it equals 4 because that slash is a divided sign all together it is 8+-12-(-12)/2=2

3 0

4 years ago

Read 2 more answers