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Anastaziya [24]

2 years ago

5

There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother ge

t?

1 answer:

Alenkasestr [34]2 years ago

4 0

9514 1404 393

Answer:

1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

(1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

You might be interested in

4325 X 32, 5492 X 44

frutty [35]

Step-by-step explanation:

4325 * 32 = 138,400

5492 * 44 = 241,648

I have provided work to show how you would complete these problems. The work will be found in the attachments below.

7 0

3 years ago

The base of the pyramid is a square. what is the volume of the pyramid. enter your answer in the box.

Ugo [173]

Answer:

The volume of the pyramid is $672\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid of the figure is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=12\ cm$

$h=14\ cm$ ----> the height must be perpendicular to the base

substitute

$V=\frac{1}{3}(12^{2})(14)=672\ cm^{3}$

7 0

2 years ago

Can you please help me with this problem?

Hoochie [10]

Here you have to find which each variable is, for this you start of picking one equation,

x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16

depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4

With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4

= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,

-4x -7z = -8
4x + 2z = 16

= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)

6 0

2 years ago

I need help drawing the graph of -2x+2y=-4

True [87]

Arrange in slope intercept form.....
2y = 2x -4
y = x - 2

So, the line would go up......crossing the y axis at -2.........hope this helps

4 0

3 years ago

Read 2 more answers

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0

2 years ago