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Paul [167]
3 years ago
5

The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun

t of honey per penny, work out which jar is the best value for money. Working must be shown.
Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

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What is the value of x in the solution
krok68 [10]

Answer:

x =\dfrac 47

Step-by-step explanation:

~~~~~9x-1 = 2x+3\\\\\implies 9x -2x = 3+1\\\\\implies 7x = 4\\\\\implies x =\dfrac 47

6 0
2 years ago
Explain to me in words how you would find the slope of this line and explain answer
Andrews [41]
Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)

When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!
7 0
3 years ago
Identify any extraneous solution. See above pic
Sav [38]

Answer:

There are no extraneous solutions

Reasoning:

An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.

first we want to isolate z:

1+sqrt(z)=sqrt(z+5)

^2 all      ^2 all

(1+sqrt(z))(1+sqrt(z))=z+5

expand

1+2sqrt(z)+z=z+5

-1              -z  -z -1

2sqrt(z)=4

/2           /2

sqrt(z)=2

^2 all    ^2 all

z=4

Since there is one solution and it is a real number, there are no extraneous solutions.

4 0
3 years ago
Read 2 more answers
Which of the following rational functions is graphed below?
solong [7]

Answer:

Option C

Step-by-step explanation:

According to the graph, there are vertical asymptotes at x=-3 and x=7. Therefore, C is correct because -3+3=0 and 7-7=0.

6 0
2 years ago
Read 2 more answers
A#27 - Surface Area
ollegr [7]

Answer:

Step-by-step explanation:

Surface area is finding the area of each face and adding them up.  So a cube will have 6 faces, each of them a square.  So find the area of one face and you can just add it 6 times.  If the faces are not all the same you have to find them seperately.  I won't do all of your questions, but let me know if you need help with a specific one

1) there are two trianglular faces and three rectangular ones.  The triangles are the same so let's do those.  They have the base and height of 4 and 3, so area of both will be .5*4*3 = 6, so together that makes 12.  now the three rectangular sides.  Right away you can see there is a 3 by 10 one and a 4 by 10 one.  These ahve areas of 30 and 40 respectfully.  The final face has one length of 10 but the last one is actually the last side of the right triangle faces.  Use the Pythagorean theorem to find it, it word out to be 5.  So now we know the last face is 10 by 5 which means an area of 50.  So let's add them all together.  5 faces total with areas of 30, 40, 50, 6 and 6.  Adding them together makes 136.

If you don't get how I did any of that let me know.  In general it's a good idea to mark every face and then find what their sides are.  I'd be happy to help with specific problems.

Now the second part, again I will do the second one because cones are  little less intuitive.  a cone has two faces, the circular base and the actual cone shape.  the surface area of the cone shape is pi*r*L where r is the radius of the base and L is the length of one of the slanted sides.  Now, let's find the area of the two faces.  Area of a circle is pi*r^2 so that's pi*4^2 = 16*pi in number 2.  Then the area of the cone part is pi*r*L = pi*4*14 = 56*pi.  now we sum all the areas of the faces up and get 16*pi + 56*pi = 72*pi.  

Again, I'm happy to answer specific questions, so let me know if you have any.  just keep in mind what I told you so far, find each face, then find each face's area then sum them up.  For cylinders the tubes turn into rectangles where one side is the length of the tube and the other is the circumference, while cones fave two faces, the circular base and the cone shape itself with an area of pi*r*L.  if you want me to check your answers I will totally do that too.  

4 0
3 years ago
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