All categories

2 years ago

Anita took 1/6 of a cake and Barry took 60% of what remained. What fraction of original cake is left. Explain full method.

2 answers:

amm18122 years ago

7 0

The cake = 1
1-1/6=5/6
60% as a fraction =3/5
5/6-3/5
25/30-18/30
7/30
There are 7/30 of the original cake left.

Hope this helps :)

NISA [10]2 years ago

4 0

Answer: $\dfrac{7}{30}$

Step-by-step explanation:

Given : Anita took 1/6 of a cake and Barry took 60% of what remained.

In fraction , The part taken by Barry = 60%= $\dfrac{60}{100}=\dfrac{3}{5}$

Also, in fraction we take "1" as the whole part.

Then , the fraction of original cake is left is given by :-

$1-\dfrac{1}{6}-\dfrac{3}{5}\\\\=\dfrac{30-5-3\times6}{30}\\\\=\dfrac{25-18}{30}\\\\=\dfrac{7}{30}$

Hence, the fraction of original cake is left. = $\dfrac{7}{30}$

You might be interested in

Which equation could best be used to determine the value of x?

Arlecino [84]

Answer:

yes

Step-by-step explanation:

hahahaha thanks for your help

8 0

2 years ago

A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following number

adelina 88 [10]

Answer:

Step-by-step explanation:

3 0

2 years ago

How do you find the equation of a triangles altitude using point slope formula?

forsale [732]

1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line. 
(Scroll Down for Answer!)Answer by jim_thompson5910(34047) (Show Source):You can put this solution on YOUR website!
If we plot the points and connect them, we get this triangle:

Let point
A=(xA,yA)
B=(xB,yB)
C=(xC,yC)

-------------------------------
Let's find the equation of the segment AB

Start with the general formula

Plug in the given points

Simplify and combine like terms

So the equation of the line through AB is

-------------------------------
Let's find the equation of the segment BC

Start with the general formula

Plug in the given points

Simplify and combine like terms

So the equation of the line through BC is

-------------------------------
Let's find the equation of the segment CA

Start with the general formula

Plug in the given points

Simplify and combine like terms

So the equation of the line through CA is

So we have these equations of the lines that make up the triangle

So to find the equation of the line that is perpendicular to that goes through the point C(2,-5), simply negate and invert the slope to get

Now plug the slope and the point (2,-5) into

Solve for y and simplify

So the altitude for vertex C is

Now to find the equation of the line that is perpendicular to that goes through the point A(4,5), simply negate and invert the slope to get

Now plug the slope and the point (2,-5) into

Solve for y and simplify

So the altitude for vertex A is

Now to find the equation of the line that is perpendicular to that goes through the point B(-4,1), simply negate and invert the slope to get

Now plug the slope and the point (-4,1) into

Solve for y and simplify

So the altitude for vertex B is

------------------------------------------------------------
Now let's solve the system

Plug in into the first equation

Add 2x to both sides and subtract 2 from both sides

Divide both sides by 3 to isolate x

Now plug this into

So the orthocenter is (-2/3,1/3)

So if we plug in into the third equation , we get

So the orthocenter lies on the third altitude

3 0

2 years ago

Why the area and the perimeter are not both multiplied by the same factor.

lina2011 [118]

Answer:

Step-by-step explanation:

It might be the length of one of the sides of a polygon (a figure with straight sides) or the radius of a circle. ... You can find the perimeter of a regular octagon (8-sided figure with equal sides) by multiplying the length of one of the sides by 8. The area of a figure is the measure of how large its surface is. I think btw if its wrong sorry :)

6 0

2 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$